# zbMATH — the first resource for mathematics

## Quantum Information Processing

 Short Title: Quantum Inf. Process. Publisher: Springer US, New York, NY ISSN: 1570-0755; 1573-1332/e Online: http://link.springer.com/journal/volumesAndIssues/11128
 Documents Indexed: 2,174 Publications (since 2002) References Indexed: 2,137 Publications with 78,299 References.
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#### Latest Issues

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#### Authors

 38 Hwang, Tzonelih 37 Fei, Shaoming 37 Ye, Liu 28 Chen, Xiu-Bo 25 Yang, Yixian 23 Wen, Qiaoyan 21 Wang, Dong 21 Yang, Yuguang 19 Pathak, Anirban 18 Xue, Kang 18 Zhou, Lan 17 Gao, Fei 17 Luo, Mingxing 17 Zhang, Shou 16 Fang, Maofa 16 Sheng, Yu-Bo 16 Xia, Yan 16 Yang, Chunwei 15 Huang, Zhiming 15 Liu, Yimin 15 Zhang, Zhanjun 14 Guo, Ying 14 Qiu, Daowen 14 Shi, Jiadong 14 Situ, Haozhen 14 Song, Jie 14 Wilde, Mark M. 13 Shi, Runhua 13 Shi, Weimin 13 Zhou, Rigui 13 Zhou, Yihua 12 Banerjee, Subhashish 12 Cao, Zhuoliang 12 Deng, Fu-Guo 12 Jiang, Min 12 Konno, Norio 12 Ramos, Rubens Viana 12 Sarkar, Debasis 12 Thapliyal, Kishore 12 Wang, Gangcheng 11 Huang, Wei 11 Kao, Shih-Hung 11 Long, Guilu 11 Panigrahi, Prasanta K. 11 Wang, Hongfu 11 Wang, Qin 10 Adhikari, Satyabrata 10 Hassouni, Yassine 10 Li, Ruihu 10 Portugal, Renato 10 Puchała, Zbigniew 10 Qin, Sujuan 10 Sun, Chunfang 10 Sun, Wen-Yang 10 Xu, Gang 10 Zeng, Guihua 9 Berrada, K. 9 Chen, Han Wu 9 He, Juan 9 Hu, Taotao 9 Jiang, Nan 9 Li-Jost, Xianqing 9 Li, Dan 9 Lu, Songfeng 9 Ma, Wenping 9 Qin, Huawang 9 Rastëgin, Alekseĭ Èduardovich 9 Shukla, Chitra 9 Sun, Ying 9 Wei, Hai-Rui 9 Xie, Chuanmei 9 Yang, Ming 9 Zhang, Kejia 8 Akhtarshenas, Seyed Javad 8 Choudhury, Binayak Samadder 8 Deng, Yun 8 Furman, Gregory B. 8 Jing, Naihuan 8 Lai, Hong 8 Lidar, Daniel A. 8 Liu, JianWei 8 Liu, Zhi-Hao 8 Luo, Yiping 8 Meerovich, Victor M. 8 Mo, Zhiwen 8 Mohamed, Abdel-Baset A. 8 Ooi, C. H. Raymond 8 Parthasarathy, Harish 8 Pawela, Łukasz 8 Qu, Zhiguo 8 Segawa, Etsuo 8 Shang, Tao 8 Shi, Lei 8 Sokolovsky, Vladimir L. 8 Wang, Mingming 8 Weinstein, Yaakov S. 8 Zenchuk, Alexandre I. 8 Zhang, Yong 8 Zheng, Zhujun 7 Banik, Manik ...and 3,048 more Authors
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#### Fields

 2,161 Quantum theory (81-XX) 673 Information and communication theory, circuits (94-XX) 296 Computer science (68-XX) 199 Statistical mechanics, structure of matter (82-XX) 81 Probability theory and stochastic processes (60-XX) 73 Optics, electromagnetic theory (78-XX) 64 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 52 Statistics (62-XX) 43 Functional analysis (46-XX) 36 Combinatorics (05-XX) 27 Relativity and gravitational theory (83-XX) 24 Numerical analysis (65-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Number theory (11-XX) 21 Operator theory (47-XX) 20 Operations research, mathematical programming (90-XX) 19 Systems theory; control (93-XX) 17 Partial differential equations (35-XX) 15 Group theory and generalizations (20-XX) 14 Associative rings and algebras (16-XX) 12 Mathematical logic and foundations (03-XX) 9 Biology and other natural sciences (92-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Algebraic geometry (14-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Convex and discrete geometry (52-XX) 6 Mechanics of particles and systems (70-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 4 Category theory; homological algebra (18-XX) 4 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 4 Geophysics (86-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Measure and integration (28-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

1,524 Publications have been cited 9,056 times in 3,298 Documents Cited by Year
A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Zbl 1209.81066
Le, Phuc Q.; Dong, Fangyan; Hirota, Kaoru
2011
Quantum walks: a comprehensive review. Zbl 1283.81040
2012
NEQR: a novel enhanced quantum representation of digital images. Zbl 1283.81042
Zhang, Yi; Lu, Kai; Gao, Yinghui; Wang, Mo
2013
New quantum private comparison protocol using EPR pairs. Zbl 1239.81037
Tseng, Hsin-Yi; Lin, Jason; Hwang, Tzonelih
2012
Quantum random walks in one dimension. Zbl 1329.82012
Konno, Norio
2002
Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states. Zbl 1216.81041
Nie, Yi-you; Li, Yuan-hua; Liu, Jun-chang; Sang, Ming-huang
2011
An example of the difference between quantum and classical random walks. Zbl 1329.82006
Childs, Andrew M.; Farhi, Edward; Gutmann, Sam
2002
A watermark strategy for quantum images based on quantum Fourier transform. Zbl 1264.81131
Zhang, Wei-Wei; Gao, Fei; Liu, Bin; Wen, Qiao-Yan; Chen, Hui
2013
Multiparty quantum key agreement with single particles. Zbl 1281.94038
Liu, Bin; Gao, Fei; Huang, Wei; Wen, Qiao-yan
2013
The quantum realization of Arnold and Fibonacci image scrambling. Zbl 1291.81097
Jiang, Nan; Wu, Wen-Ya; Wang, Luo
2014
Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments. Zbl 1333.81080
Li, Yuan-hua; Jin, Xian-min
2016
A novel quantum representation for log-polar images. Zbl 1273.81051
Zhang, Yi; Lu, Kai; Gao, Yinghui; Xu, Kai
2013
Bidirectional controlled quantum teleportation and secure direct communication using five-qubit entangled state. Zbl 1303.81061
Li, Yuan-hua; Li, Xiao-lan; Sang, Ming-huang; Nie, Yi-you; Wang, Zi-sheng
2013
Multi-party quantum key agreement with Bell states and Bell measurements. Zbl 1264.81151
Shi, Run-Hua; Zhong, Hong
2013
Quantum image scaling using nearest neighbor interpolation. Zbl 1327.81130
Jiang, Nan; Wang, Luo
2015
A dynamic watermarking scheme for quantum images using quantum wavelet transform. Zbl 1303.81052
Song, Xian-Hua; Wang, Shen; Liu, Shuai; Abd El-Latif, Ahmed A.; Niu, Xia-Mu
2013
Improvements on “multiparty quantum key agreement with single particles”. Zbl 1282.94068
Sun, Zhiwei; Zhang, Cai; Wang, Banghai; Li, Qin; Long, Dongyang
2013
Image storage, retrieval, compression and segmentation in a quantum system. Zbl 1267.81118
Li, Hai-Sheng; Qingxin, Zhu; Lan, Song; Shen, Chen-Yi; Zhou, Rigui; Mo, Jia
2013
Quantum dialogue protocols immune to collective noise. Zbl 1267.81133
Yang, Chun-Wei; Hwang, Tzonelih
2013
Efficient quantum private comparison employing single photons and collective detection. Zbl 1264.81142
Liu, Bin; Gao, Fei; Jia, Heng-Yue; Huang, Wei; Zhang, Wei-Wei
2013
Controlled remote state preparation of arbitrary two and three qubit states via the Brown state. Zbl 1263.81022
Chen, Xiu-Bo; Ma, Song-Ya; Su, Yuan; Zhang, Ru; Yang, Yi-Xian
2012
A survey of quantum image representations. Zbl 1333.81110
Yan, Fei; Iliyasu, Abdullah M.; Venegas-Andraca, Salvador E.
2016
Quantum image translation. Zbl 1327.81143
Wang, Jian; Jiang, Nan; Wang, Luo
2015
Comment on quantum private comparison protocols with a semi-honest third party. Zbl 1264.81159
Yang, Yu-Guang; Xia, Juan; Jia, Xin; Zhang, Hua
2013
Controlled remote state preparation via partially entangled quantum channel. Zbl 1311.81064
Wang, Chun; Zeng, Zhi; Li, Xi-Han
2015
Multiparty-controlled joint remote state preparation. Zbl 1286.81035
Wang, Dong; Ye, Liu
2013
Multi-user private comparison protocol using GHZ class states. Zbl 1264.81070
Chang, Yao-Jen; Tsai, Chia-Wei; Hwang, Tzonelih
2013
Protocols of quantum key agreement solely using Bell states and Bell measurement. Zbl 1305.81068
Shukla, Chitra; Alam, Nasir; Pathak, Anirban
2014
Improving the security of arbitrated quantum signature against the forgery attack. Zbl 1283.81056
Zhang, Ke-Jia; Zhang, Wei-Wei; Li, Dan
2013
Quantum key agreement with EPR pairs and single-particle measurements. Zbl 1291.81119
Huang, Wei; Wen, Qiao-Yan; Liu, Bin; Gao, Fei; Sun, Ying
2014
SQR: a simple quantum representation of infrared images. Zbl 1303.81056
Yuan, Suzhen; Mao, Xia; Xue, Yuli; Chen, Lijiang; Xiong, Qingxu; Compare, Angelo
2014
Joint remote state preparation of arbitrary two-particle states via GHZ-type states. Zbl 1270.81047
Peng, Jia-Yin; Luo, Ming-Xing; Mo, Zhi-Wen
2013
Quantum image encryption based on generalized Arnold transform and double random-phase encoding. Zbl 1328.81097
Zhou, Nan Run; Hua, Tian Xiang; Gong, Li Hua; Pei, Dong Ju; Liao, Qing Hong
2015
Novel multiparty quantum key agreement protocol with GHZ states. Zbl 1305.81073
Xu, Guang-Bao; Wen, Qiao-Yan; Gao, Fei; Qin, Su-Juan
2014
Local feature point extraction for quantum images. Zbl 1327.81147
Zhang, Yi; Lu, Kai; Xu, Kai; Gao, Yinghui; Wilson, Richard
2015
Novel image encryption/decryption based on quantum Fourier transform and double phase encoding. Zbl 1337.94083
Yang, Yu-Guang; Xia, Juan; Jia, Xin; Zhang, Hua
2013
Multi-dimensional color image storage and retrieval for a normal arbitrary quantum superposition state. Zbl 1291.81100
Li, Hai-Sheng; Zhu, Qingxin; Zhou, Ri-Gui; Song, Lan; Yang, Xing-jiang
2014
Applications of quantum cryptographic switch: various tasks related to controlled quantum communication can be performed using Bell states and permutation of particles. Zbl 1327.81171
Thapliyal, Kishore; Pathak, Anirban
2015
Controlled bidirectional remote state preparation in noisy environment: a generalized view. Zbl 1325.81039
Sharma, Vishal; Shukla, Chitra; Banerjee, Subhashish; Pathak, Anirban
2015
Analysis and improvement of the watermark strategy for quantum images based on quantum Fourier transform. Zbl 1283.81041
Yang, Yu-Guang; Jia, Xin; Xu, Peng; Tian, Ju
2013
Analysis and improvement of the quantum Arnold image scrambling. Zbl 1303.81048
Jiang, Nan; Wang, Luo
2014
Quantum information splitting of an arbitrary three-qubit state by using a genuinely entangled five-qubit state and a Bell-state. Zbl 1241.81029
Nie, Yi-you; Li, Yuan-hua; Liu, Jun-chang; Sang, Ming-huang
2012
Multi-party quantum secret sharing with the single-particle quantum state to encode the information. Zbl 1263.81130
Chen, Xiu-Bo; Niu, Xin-Xin; Zhou, Xin-Jie; Yang, Yi-Xian
2013
Further results on the cross norm criterion for separability. Zbl 1130.81016
Rudolph, Oliver
2005
Multi-party quantum state sharing of an arbitrary two-qubit state with Bell states. Zbl 1217.81044
Shi, Run-hua; Huang, Liu-sheng; Yang, Wei; Zhong, Hong
2011
Authenticated semi-quantum key distribution protocol using Bell states. Zbl 1374.81041
Yu, Kun-Fei; Yang, Chun-Wei; Liao, Ci-Hong; Hwang, Tzonelih
2014
Quantum image matching. Zbl 1348.81168
Jiang, Nan; Dang, Yijie; Wang, Jian
2016
Quantum splitting an arbitrary three-qubit state with $$\chi$$-state. Zbl 1264.81144
Luo, Ming-Xing; Deng, Yun
2013
Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio. Zbl 1327.81129
Jiang, Nan; Wang, Jian; Mu, Yue
2015
Quantum knots and mosaics. Zbl 1144.81013
Lomonaco, Samuel J.; Kauffman, Louis H.
2008
Joint remote state preparation for two-qubit equatorial states. Zbl 1311.81050
Choudhury, Binayak S.; Dhara, Arpan
2015
Efficient controlled quantum secure direct communication based on GHZ-like states. Zbl 1311.81094
Hassanpour, Shima; Houshmand, Monireh
2015
A quantum watermarking scheme using simple and small-scale quantum circuits. Zbl 1338.81141
Miyake, S.; Nakamae, K.
2016
Deterministic controlled bidirectional remote state preparation via a six-qubit entangled state. Zbl 1338.81123
Zhang, Da; Zha, Xin-wei; Duan, Ya-jun; Yang, Yu-quan
2016
An inter-bank e-payment protocol based on quantum proxy blind signature. Zbl 1277.94044
Wen, Xiaojun; Chen, Yongzhi; Fang, Junbin
2013
Two-step orthogonal-state-based protocol of quantum secure direct communication with the help of order-rearrangement technique. Zbl 1304.81067
Yadav, Preeti; Srikanth, R.; Pathak, Anirban
2014
New quantum MDS codes derived from constacyclic codes. Zbl 1311.81093
Wang, Liqi; Zhu, Shixin
2015
Quantum key agreement protocols with four-qubit cluster states. Zbl 1325.81063
He, Ye-Feng; Ma, Wen-Ping
2015
Efficient entanglement concentration for quantum dot and optical microcavities systems. Zbl 1271.81029
Sheng, Yu-Bo; Zhou, Lan; Wang, Lei; Zhao, Sheng-Mei
2013
Two-party quantum key agreement with four-qubit cluster states. Zbl 1303.81066
Shen, Dong-Su; Ma, Wen-Ping; Wang, Li-Li
2014
One-dimensional discrete-time quantum walks on random environments. Zbl 1176.81054
Konno, Norio
2009
The CGMV method for quantum walks. Zbl 1252.82082
Cantero, M. J.; Grünbaum, F. A.; Moral, L.; Velázquez, L.
2012
New circular quantum secret sharing for remote agents. Zbl 1277.94060
Lin, Jason; Hwang, Tzonelih
2013
Two efficient schemes for probabilistic remote state preparation and the combination of both schemes. Zbl 1305.81045
Wei, Jiahua; Dai, Hong-Yi; Zhang, Ming
2014
An efficient scheme for five-party quantum state sharing of an arbitrary $$m$$-qubit state using multiqubit cluster states. Zbl 1225.81026
Hou, Kui; Liu, Guo-Hong; Zhang, Xue-Yong; Sheng, Shou-Qi
2011
Efficient multi-party quantum key agreement by cluster states. Zbl 1333.81127
Sun, Zhiwei; Yu, Jianping; Wang, Ping
2016
Universal quantum gates. Zbl 1130.81028
Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin
2005
Quantum tasks using six qubit cluster states. Zbl 1235.81040
Paul, Naveen; Menon, Jayakrishnan V.; Karumanchi, Siddharth; Muralidharan, Sreraman; Panigrahi, Prasanta K.
2011
Asymmetric multi-party quantum state sharing of an arbitrary $$m$$-qubit state. Zbl 1209.81054
Shi, Run-hua; Huang, Liu-sheng; Yang, Wei; Zhong, Hong
2011
Controlled remote state preparation protocols via AKLT states. Zbl 1303.81037
Liu, Lin Lin; Hwang, Tzonelih
2014
Enhancement on “Quantum blind signature based on two-state vector formalism”. Zbl 1310.81173
Yang, Chun-Wei; Hwang, Tzonelih; Luo, Yi-Ping
2013
The staggered quantum walk model. Zbl 1333.81213
Portugal, R.; Santos, R. A. M.; Fernandes, T. D.; Gonçalves, D. N.
2016
The quest for a quantum neural network. Zbl 1305.81055
Schuld, Maria; Sinayskiy, Ilya; Petruccione, Francesco
2014
Localization of an inhomogeneous discrete-time quantum walk on the line. Zbl 1196.82087
Konno, Norio
2010
Deterministic joint remote preparation of arbitrary two- and three-qubit entangled states. Zbl 1264.81107
Zhan, You-Bang; Ma, Peng Cheng
2013
Optimal joint remote state preparation of equatorial states. Zbl 1333.81079
Li, Xihan; Ghose, Shohini
2015
Unitary solutions to the Yang-Baxter equation in dimension four. Zbl 1130.81345
Dye, H. A.
2003
Efficient and faithful remote preparation of arbitrary three- and four-particle $$W$$-class entangled states. Zbl 1317.81054
Wang, Dong; Hu, You-Di; Wang, Zhe-Qiang; Ye, Liu
2015
Quantum image Gray-code and bit-plane scrambling. Zbl 1327.81150
Zhou, Ri-Gui; Sun, Ya-Juan; Fan, Ping
2015
Dynamical localization for $$d$$-dimensional random quantum walks. Zbl 1252.82087
Joye, Alain
2012
Limit measures of inhomogeneous discrete-time quantum walks in one dimension. Zbl 1310.81104
Konno, Norio; Łuczak, Tomasz; Segawa, Etsuo
2013
Experimental architecture of joint remote state preparation. Zbl 1253.81042
Luo, Ming-Xing; Chen, Xiu-Bo; Yang, Yi-Xian; Niu, Xin-Xin
2012
Image segmentation on a quantum computer. Zbl 1327.81124
Caraiman, Simona; Manta, Vasile I.
2015
Efficient entanglement concentration for electron-spin W state with the charge detection. Zbl 1267.81085
Zhou, Lan
2013
Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue. Zbl 1382.81077
Shukla, Chitra; Thapliyal, Kishore; Pathak, Anirban
2017
Efficient entanglement concentration for arbitrary less-entangled NOON states. Zbl 1264.81064
Zhou, Lan; Sheng, Yu-Bo; Cheng, Wei-Wen; Gong, Long-Yan
2013
Characterization of quantum circulant networks having perfect state transfer. Zbl 1309.81043
Bašić, Milan
2013
Quantum private comparison protocol with $$d$$-dimensional Bell states. Zbl 1277.94031
Lin, Song; Sun, Ying; Liu, Xiao-Fen; Yao, Zhi-Qiang
2013
GHZ states, almost-complex structure and Yang-Baxter equation. Zbl 1133.81013
Zhang, Yong; Ge, Mo-Lin
2007
Secure direct communication based on ping-pong protocol. Zbl 1181.81030
Chamoli, Arti; Bhandari, C. M.
2009
Dynamic quantum secret sharing. Zbl 1277.94056
Hsu, Jung-Lun; Chong, Song-Kong; Hwang, Tzonelih; Tsai, Chia-Wei
2013
Multiparty quantum sealed-bid auction using single photons as message carrier. Zbl 1333.81083
Liu, Wen-Jie; Wang, Hai-Bin; Yuan, Gong-Lin; Xu, Yong; Chen, Zhen-Yu; An, Xing-Xing; Ji, Fu-Gao; Gnitou, Gnim Tchalim
2016
Multi-party quantum private comparison protocol with $$n$$-level entangled states. Zbl 1305.81070
Wang, Qing-Le; Sun, Hong-Xiang; Huang, Wei
2014
Effects of noises on joint remote state preparation via a GHZ-class channel. Zbl 1327.81093
Liang, Hua-Qiu; Liu, Jin-Ming; Feng, Shang-Shen; Chen, Ji-Gen; Xu, Xin-Ye
2015
The faithful remote preparation of general quantum states. Zbl 1263.81083
Luo, Ming-Xing; Deng, Yun; Chen, Xiu-Bo; Yang, Yi-Xian
2013
Thwarting intercept-and-resend attack on Zhang’s quantum secret sharing using collective rotation noises. Zbl 1243.81066
Yang, Chun-Wei; Tsai, Chia-Wei; Hwang, Tzonelih
2012
Quantum image encryption based on restricted geometric and color transformations. Zbl 1305.81058
Song, Xian-Hua; Wang, Shen; Abd El-Latif, Ahmed A.; Niu, Xia-Mu
2014
Efficient quantum dialogue using single photons. Zbl 1305.81067
Luo, Yi-Ping; Lin, Ching-Ying; Hwang, Tzonelih
2014
Private database queries using one quantum state. Zbl 1311.81104
Yang, Yu-Guang; Zhang, Ming-Ou; Yang, Rui
2015
$$(t,n)$$ threshold quantum secret sharing using the phase shift operation. Zbl 1327.81167
Qin, Huawang; Zhu, Xiaohua; Dai, Yuewei
2015
Two new families of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes. Zbl 1417.81109
Luo, Gaojun; Cao, Xiwang
2019
Controlled teleportation of an arbitrary two-qubit entanglement in noises environment. Zbl 1417.81061
Hou, Kui; Bao, Da-qiang; Zhu, Cheng-jie; Yang, Ya-ping
2019
New entanglement-assisted MDS quantum codes from constacyclic codes. Zbl 1409.81036
Koroglu, Mehmet E.
2019
Demonstration of entanglement purification and swapping protocol to design quantum repeater in IBM quantum computer. Zbl 1417.81054
Behera, Bikash K.; Seth, Swarnadeep; Das, Antariksha; Panigrahi, Prasanta K.
2019
Multiparty quantum secure direct communication immune to collective noise. Zbl 1417.81060
He, Ye-Feng; Ma, Wen-Ping
2019
Polygamy relation for the Rényi-$$\alpha$$ entanglement of assistance in multi-qubit systems. Zbl 1417.81047
Song, Wei; Yang, Ming; Zhao, Jun-Long; Li, Da-Chuang; Cao, Zhuo-Liang
2019
Performance analysis of the satellite-to-ground continuous-variable quantum key distribution with orthogonal frequency division multiplexed modulation. Zbl 1417.81074
Zhao, Wei; Liao, Qin; Huang, Duan; Guo, Ying
2019
Constructions of new entanglement-assisted quantum MDS and almost MDS codes. Zbl 1417.81110
Qian, Jianfa; Zhang, Lina
2019
A new $$n$$-party quantum secret sharing model based on multiparty entangled states. Zbl 1417.81123
Zhang, Ke-jia; Zhang, Xue; Jia, Heng-yue; Zhang, Long
2019
Entanglement-assisted quantum error-correcting codes over arbitrary finite fields. Zbl 1417.81108
Galindo, Carlos; Hernando, Fernando; Matsumoto, Ryutaroh; Ruano, Diego
2019
Efficiently embedding QUBO problems on adiabatic quantum computers. Zbl 1417.81081
Date, Prasanna; Patton, Robert; Schuman, Catherine; Potok, Thomas
2019
An optional remote state preparation protocol for a four-qubit entangled state. Zbl 1417.81055
Choudhury, Binayak S.; Samanta, Soumen
2019
Quantum Nash equilibrium in the thermodynamic limit. Zbl 1417.81069
Sarkar, Shubhayan; Benjamin, Colin
2019
Any quantum network is structurally controllable by a single driving signal. Zbl 1417.81101
Siomau, Michael
2019
Triangle-like inequalities related to coherence and entanglement negativity. Zbl 1417.81038
Jin, Zhi-Xiang; Li-Jost, Xianqing; Fei, Shao-Ming
2019
Quantum identity authentication without entanglement. Zbl 1417.81121
2019
A dual quantum image scrambling method. Zbl 1417.81088
Heidari, Shahrokh; Vafaei, Matin; Houshmand, Monireh; Tabatabaey-Mashadi, Narges
2019
Sequential quantum secret sharing in noisy environments. Zbl 1417.81114
Khakbiz, Parvaneh; Asoudeh, Marzieh
2019
Correction to: “New scheme for measurement-device-independent quantum key distribution”. Zbl 1417.81118
Wang, Lian; Zhou, Yuan-Yuan; Zhou, Xue-Jun; Chen, Xiao; Zhang, Zheng
2019
Finer distribution of quantum correlations among multiqubit systems. Zbl 1417.81036
Jin, Zhi-Xiang; Fei, Shao-Ming
2019
Monogamy properties of qubit systems. Zbl 1417.81052
Zhu, Xue-Na; Fei, Shao-Ming
2019
Quantum image edge extraction based on classical Sobel operator for NEQR. Zbl 1417.81084
Fan, Ping; Zhou, Ri-Gui; Hu, Wenwen; Jing, Naihuan
2019
Real-time selection for free-space measurement device independent quantum key distribution. Zbl 1417.81027
Zhu, Zhuo-Dan; Chen, Dong; Zhao, Shang-Hong; Zhang, Qin-Hui; Xi, Jun-Hua
2019
Exploration of entropic uncertainty relation for two accelerating atoms immersed in a Bath of electromagnetic field. Zbl 1417.81022
Huang, Zhiming; Situ, Haozhen
2019
The convex set containing two-qutrit maximally entangled states. Zbl 1409.81015
Chen, Lin
2019
Adaptive routing for quantum memory failures in the quantum Internet. Zbl 1409.81025
Gyongyosi, Laszlo; Imre, Sandor
2019
Tunable quantum routing via asymmetric intercavity couplings. Zbl 1409.81050
Huang, Jin-Song; Wang, Jing-Wen; Li, Yan-Ling; Wang, Yao; Huang, You-Wen
2019
Distribution of entanglement in multipartite systems. Zbl 1409.81017
Khan, Awais; Farooq, Ahmad; Jeong, Youngmin; Shin, Hyundong
2019
A quantum walk-assisted approximate algorithm for bounded NP optimisation problems. Zbl 1417.81095
Marsh, S.; Wang, J. B.
2019
Analysis of atmospheric effects on satellite-based quantum communication: a comparative study. Zbl 1417.81070
Sharma, Vishal; Banerjee, Subhashish
2019
Entanglement protection in Jaynes-Cummings model. Zbl 1417.81032
Fasihi, M. A.; Mojaveri, B.
2019
New quantum key agreement protocols based on cluster states. Zbl 1417.81120
Yang, Yu-Guang; Li, Bo-Ran; Kang, Shuang-Yong; Chen, Xiu-Bo; Zhou, Yi-Hua; Shi, Wei-Min
2019
Probing the geometry of two-qubit state space by evolution. Zbl 1417.81029
Frydryszak, Andrzej M.; Gieysztor, Maria; Kuzmak, Andrij
2019
Cryptanalysis and improvement in controlled quantum dialogue using cluster states. Zbl 1417.81064
Liu, Zhihao; Chen, Hanwu
2019
Optimal control methods for quantum gate preparation: a comparative study. Zbl 1417.81100
Riaz, Bilal; Shuang, Cong; Qamar, Shahid
2019
Adversarial versus cooperative quantum estimation. Zbl 1417.81068
Rexiti, Milajiguli; Mancini, Stefano
2019
Remote preparation of four-qubit states via two-qubit maximally entangled states. Zbl 1417.81072
Xue, Yang; Shi, Lei; Da, Xinyu; Zhou, Kaihang; Ma, Lihua; Wei, Jiahua; Yu, Longqiang; Hu, Hang
2019
Entanglement access control for the quantum Internet. Zbl 1417.81059
Gyongyosi, Laszlo; Imre, Sandor
2019
Entanglement-assisted quantum MDS codes from negacyclic codes. Zbl 1386.81053
Lu, Liangdong; Li, Ruihu; Guo, Luobin; Ma, Yuena; Liu, Yang
2018
Cryptanalysis of secret sharing with a single $$d$$-level quantum system. Zbl 1398.81070
Chen, Xiu-Bo; Tang, Xin; Xu, Gang; Dou, Zhao; Chen, Yu-Ling; Yang, Yi-Xian
2018
Security of a single-state semi-quantum key distribution protocol. Zbl 1448.81274
Zhang, Wei; Qiu, Daowen; Mateus, Paulo
2018
Quantum network dialogue protocol based on continuous-variable GHZ states. Zbl 1402.81109
Gong, Lihua; Tian, Cheng; Li, Jianfu; Zou, Xiangfu
2018
Dynamics of entropic uncertainty for atoms immersed in thermal fluctuating massless scalar field. Zbl 1395.81134
Huang, Zhiming
2018
Computational problems in supersingular elliptic curve isogenies. Zbl 1400.81083
Galbraith, Steven D.; Vercauteren, Frederik
2018
Quantum realization of the nearest neighbor value interpolation method for INEQR. Zbl 1448.81266
Zhou, RiGui; Hu, WenWen; Luo, GaoFeng; Liu, XingAo; Fan, Ping
2018
On non-commutative operator graphs generated by covariant resolutions of identity. Zbl 1402.81067
Amosov, G. G.; Mokeev, A. S.
2018
Controlling quantum memory-assisted entropic uncertainty in non-Markovian environments. Zbl 1386.81103
Zhang, Yanliang; Fang, Maofa; Kang, Guodong; Zhou, Qingping
2018
Joint remote control of an arbitrary single-qubit state by using a multiparticle entangled state as the quantum channel. Zbl 1395.81088
Lv, Shu-Xin; Zhao, Zheng-Wei; Zhou, Ping
2018
Public-key quantum digital signature scheme with one-time pad private-key. Zbl 1395.81101
Chen, Feng-Lin; Liu, Wan-Fang; Chen, Su-Gen; Wang, Zhi-Hua
2018
Quantum coherence behaviors of fermionic system in non-inertial frame. Zbl 1395.81034
Huang, Zhiming; Situ, Haozhen
2018
Partition-based discrete-time quantum walks. Zbl 1395.81086
Konno, Norio; Portugal, Renato; Sato, Iwao; Segawa, Etsuo
2018
Multi-party quantum private comparison of size relation with $$d$$-level single-particle states. Zbl 1400.81063
Ye, Chong-Qiang; Ye, Tian-Yu
2018
Entanglement-assisted quantum MDS codes constructed from constacyclic codes. Zbl 1400.81079
Chen, Xiaojing; Zhu, Shixin; Kai, Xiaoshan
2018
Quantum Relief algorithm. Zbl 1400.68178
Liu, Wen-Jie; Gao, Pei-Pei; Yu, Wen-Bin; Qu, Zhi-Guo; Yang, Ching-Nung
2018
Constacyclic codes over the ring $$\mathbb {F}_q+v\mathbb {F}_q+v^2\mathbb {F}_q$$ and their applications of constructing new non-binary quantum codes. Zbl 1436.94117
Ma, Fanghui; Gao, Jian; Fu, Fang-Wei
2018
Automated error correction in IBM quantum computer and explicit generalization. Zbl 1448.81276
Ghosh, Debjit; Agarwal, Pratik; Pandey, Pratyush; Behera, Bikash K.; Panigrahi, Prasanta K.
2018
Efficient schemes for the quantum teleportation of a sub-class of tripartite entangled states. Zbl 1448.81194
Joy, Dintomon; Sabir, M.
2018
Application of constacyclic codes to entanglement-assisted quantum maximum distance separable codes. Zbl 1448.81271
Liu, Yang; Li, Ruihu; Lv, Liangdong; Ma, Yuena
2018
Quantifying matrix product state. Zbl 1386.81025
Bhatia, Amandeep Singh; Kumar, Ajay
2018
SLOCC classification of $$n$$ qubits invoking the proportional relationships for spectrums and standard Jordan normal forms. Zbl 1395.81039
Li, Dafa
2018
$$u$$-constacyclic codes over $$\mathbb F_p+u\mathbb F_p$$ and their applications of constructing new non-binary quantum codes. Zbl 1395.81096
Gao, Jian; Wang, Yongkang
2018
Decoherence effect on quantum-memory-assisted entropic uncertainty relations. Zbl 1395.81020
Ming, Fei; Wang, Dong; Huang, Ai-Jun; Sun, Wen-Yang; Ye, Liu
2018
Entropic uncertainty relations in the Heisenberg $$XXZ$$ model and its controlling via filtering operations. Zbl 1395.81135
Ming, Fei; Wang, Dong; Shi, Wei-Nan; Huang, Ai-Jun; Sun, Wen-Yang; Ye, Liu
2018
Multi-party quantum key agreement with five-qubit brown states. Zbl 1395.81100
Cai, Tao; Jiang, Min; Cao, Gang
2018
A lower bound of concurrence for multipartite quantum systems. Zbl 1402.81066
Zhu, Xue-Na; Li, Ming; Fei, Shao-Ming
2018
Dynamics of quantum correlation of atoms immersed in a thermal quantum scalar fields with a boundary. Zbl 1398.81027
Huang, Zhiming
2018
Any entanglement of assistance is polygamous. Zbl 1398.81026
Guo, Yu
2018
Two authenticated quantum dialogue protocols based on three-particle entangled states. Zbl 1398.81074
Qi, Jia-Min; Xu, Gang; Chen, Xiu-Bo; Wang, Tian-Yin; Cai, Xiao-Qiu; Yang, Yi-Xian
2018
Experimental demonstration of non-local controlled-unitary quantum gates using a five-qubit quantum computer. Zbl 1400.81075
Vishnu, P. K.; Joy, Dintomon; Behera, Bikash K.; Panigrahi, Prasanta K.
2018
Topology adaption for the quantum Internet. Zbl 1402.81069
Gyongyosi, Laszlo; Imre, Sandor
2018
Enhanced least significant qubit watermarking scheme for quantum images. Zbl 1402.81113
Luo, Gaofeng; Zhou, Ri-Gui; Hu, WenWen; Luo, Jia; Liu, XingAo; Ian, Hou
2018
Quantum games: a review of the history, current state, and interpretation. Zbl 1402.81070
Khan, Faisal Shah; Solmeyer, Neal; Balu, Radhakrishnan; Humble, Travis S.
2018
Semi-quantum protocol for deterministic secure quantum communication using Bell states. Zbl 1402.81117
Yan, LiLi; Sun, YuHua; Chang, Yan; Zhang, ShiBin; Wan, GuoGen; Sheng, ZhiWei
2018
Similarity analysis between quantum images. Zbl 1447.81085
Zhou, Ri-Gui; Liu, XingAo; Zhu, Changming; Wei, Lai; Zhang, Xiafen; Ian, Hou
2018
Secure multi-party quantum summation based on quantum Fourier transform. Zbl 1448.81176
Yang, Hui-Yi; Ye, Tian-Yu
2018
Bit-level quantum color image encryption scheme with quantum cross-exchange operation and hyper-chaotic system. Zbl 1448.81299
Zhou, Nanrun; Chen, Weiwei; Yan, Xinyu; Wang, Yunqian
2018
Cyclic joint remote state preparation in noisy environment. Zbl 1448.81198
Zhang, Chang-yue; Bai, Ming-qiang; Zhou, Si-qi
2018
Generalization and demonstration of an entanglement-based Deutsch-jozsa-like algorithm using a 5-qubit quantum computer. Zbl 1448.81235
Gangopadhyay, Sayan; Manabputra; Behera, Bikash K.; Panigrahi, Prasanta K.
2018
Quantum conference. Zbl 1448.81160
Banerjee, Anindita; Thapliyal, Kishore; Shukla, Chitra; Pathak, Anirban
2018
Perfect joint remote state preparation of arbitrary six-qubit cluster-type states. Zbl 1448.81190
Choudhury, Binayak S.; Samanta, Soumen
2018
Multi-image encryption scheme based on quantum 3D Arnold transform and scaled Zhongtang chaotic system. Zbl 1402.81100
Zhou, Nanrun; Yan, Xingyu; Liang, Haoran; Tao, Xiangyang; Li, Guangyong
2018
Quantum-chaotic cryptography. Zbl 1386.81064
de Oliveira, G. L.; Ramos, R. V.
2018
Quantum image median filtering in the spatial domain. Zbl 1386.81045
Li, Panchi; Liu, Xiande; Xiao, Hong
2018
Deterministic remote preparation of arbitrary multi-qubit equatorial states via two-qubit entangled states. Zbl 1386.81038
Wei, Jiahua; Shi, Lei; Zhu, Yu; Xue, Yang; Xu, Zhiyan; Jiang, Jun
2018
Simultaneous dense coding affected by fluctuating massless scalar field. Zbl 1395.81035
Huang, Zhiming; Ye, Yiyong; Luo, Darong
2018
Notes on modified trace distance measure of coherence. Zbl 1395.81027
Chen, Bin; Fei, Shao-Ming
2018
Nondestructive discrimination of a new family of highly entangled states in IBM quantum computer. Zbl 1398.81063
Satyajit, Saipriya; Srinivasan, Karthik; Behera, Bikash K.; Panigrahi, Prasanta K.
2018
Weak limit theorem for a nonlinear quantum walk. Zbl 1398.81141
Maeda, Masaya; Sasaki, Hironobu; Segawa, Etsuo; Suzuki, Akito; Suzuki, Kanako
2018
Multi-party traveling-mode quantum key agreement protocols immune to collusive attack. Zbl 1398.81069
Cao, Hao; Ma, Wenping
2018
A dynamic multiparty quantum direct secret sharing based on generalized GHZ states. Zbl 1398.81077
Song, Yun; Li, Zhihui; Li, Yongming
2018
Neurocomputing approach to matrix product state using quantum dynamics. Zbl 1400.81068
Bhatia, Amandeep Singh; Kumar, Ajay
2018
Parallel remote state preparation of arbitrary single-qubit states via linear-optical elements by using hyperentangled Bell states as the quantum channel. Zbl 1402.81079
Zhou, Ping; Jiao, Xian-Fang; Lv, Shu-Xin
2018
Improving the security of quantum key agreement protocols with single photon in both polarization and spatial-mode degrees of freedom. Zbl 1402.81105
Abulkasim, Hussein; Farouk, Ahmed; Alsuqaih, Hanan; Hamdan, Walaa; Hamad, Safwat; Ghose, S.
2018
Two-party quantum key agreement protocols under collective noise channel. Zbl 1448.81268
Gao, Hao; Chen, Xiao-Guang; Qian, Song-Rong
2018
Constructing quantum hash functions based on quantum walks on Johnson graphs. Zbl 1433.81063
Cao, Wei-Feng; Zhang, Yong-Ce; Yang, Yu-Guang; Li, Dan; Zhou, Yi-Hua; Shi, Wei-Min
2018
Uncertainty relations with the generalized Wigner-Yanase-Dyson skew information. Zbl 1448.81379
Fan, Yajing; Cao, Huaixin; Wang, Wenhua; Meng, Huixian; Chen, Liang
2018
Teleportation of quantum resources and quantum Fisher information under Unruh effect. Zbl 1448.81193
Jafarzadeh, M.; Rangani Jahromi, H.; Amniat-Talab, M.
2018
The dynamics of local quantum uncertainty and trace distance discord for two-qubit $$X$$ states under decoherence: a comparative study. Zbl 1448.81383
Slaoui, A.; Daoud, M.; Laamara, R. Ahl
2018
Multiparty quantum key agreement protocol based on locally indistinguishable orthogonal product states. Zbl 1448.81269
Jiang, Dong-Huan; Xu, Guang-Bao
2018
A quantum color image encryption scheme based on coupled hyper-chaotic Lorenz system with three impulse injections. Zbl 1448.81252
Ran, Qiwen; Wang, Ling; Ma, Jing; Tan, Liying; Yu, Siyuan
2018
...and 1296 more Documents
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#### Cited by 4,314 Authors

 45 Hwang, Tzonelih 40 Konno, Norio 39 Fei, Shaoming 34 Ye, Liu 33 Chen, Xiu-Bo 33 Sang, Minghuang 33 Zhou, Rigui 31 Huang, Zhiming 31 Li, Yuanhua 31 Yang, Yuguang 30 Yang, Yixian 29 Guo, Ying 28 Segawa, Etsuo 25 Nie, Yiyou 25 Situ, Haozhen 25 Zha, Xinwei 24 Gong, Lihua 24 Pathak, Anirban 23 Xue, Kang 22 Wang, Dong 22 Zhou, Lan 22 Zhou, Nanrun 20 Chen, Han Wu 20 Liu, Zhi-Hao 19 Ma, Wenping 19 Sheng, Yu-Bo 19 Wen, Qiaoyan 19 Xie, Shucui 19 Yang, Chunwei 19 Zhang, Kejia 18 Jiang, Min 18 Jiang, Nan 18 Zhang, Jianzhong 17 Mo, Zhiwen 17 Shi, Weimin 17 Ye, Tianyu 17 Zhang, Zhanjun 17 Zhou, Yihua 16 Fang, Maofa 16 Luo, Mingxing 16 Qiu, Daowen 16 Rastëgin, Alekseĭ Èduardovich 16 Sato, Iwao 16 Shi, Jiadong 16 Shi, Runhua 16 Wang, Gangcheng 16 Xia, Yan 15 Huang, Wei 15 Liu, Wen-Jie 15 Ma, Songya 15 Sun, Chunfang 15 Zhang, Shou 14 Gao, Fei 14 Li, Dongfen 14 Liu, Yimin 14 Portugal, Renato 14 Thapliyal, Kishore 14 Wilde, Mark M. 13 Choudhury, Binayak Samadder 13 Deng, Fu-Guo 13 Hassouni, Yassine 13 Hu, Wenwen 13 Jing, Naihuan 13 Joye, Alain 13 Qu, Zhiguo 13 Song, Jie 12 Farouk, Ahmed M. 12 Kauffman, Louis Hirsch 12 Li, Dan 12 Li, Ruihu 12 Nagata, Koji 12 Oh, Seungsang 12 Shi, Ronghua 12 Tao, Yuanhong 12 Wang, Ruijin 12 Xu, Gang 12 Xu, Guangbao 11 Alonso-Sanz, Ramón 11 Banerjee, Subhashish 11 Chang, Yan 11 Fan, Ping 11 Houshmand, Monireh 11 Hu, Taotao 11 Jia, Hengyue 11 Li, Lvzhou 11 Li, Panchi 11 Li, Xiaolan 11 Nie, Liping 11 Panigrahi, Prasanta K. 11 Peng, Jiayin 11 Qin, Huawang 11 Sun, Wen-Yang 11 Wang, Hongfu 11 Wei, Jiahua 11 Zenchuk, Alexandre I. 11 Zhang, Cai 11 Zhang, Shibin 10 Boche, Holger 10 Grünbaum, Francisco Alberto 10 Guo, You-neng ...and 4,214 more Authors
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#### Cited in 225 Journals

 1,234 Quantum Information Processing 902 International Journal of Theoretical Physics 116 International Journal of Quantum Information 93 Journal of Mathematical Physics 48 Journal of Physics A: Mathematical and Theoretical 45 New Journal of Physics 38 Physics Letters. A 34 Linear Algebra and its Applications 30 Communications in Mathematical Physics 26 Foundations of Physics 24 International Journal of Modern Physics B 24 Journal of Statistical Physics 23 Designs, Codes and Cryptography 19 Journal of Knot Theory and its Ramifications 19 Open Systems & Information Dynamics 18 Theoretical Computer Science 16 Discrete Mathematics 15 Letters in Mathematical Physics 15 Physica A 15 Annals of Physics 15 Annales Henri Poincaré 14 Communications in Theoretical Physics 14 Advances in Mathematical Physics 13 Information Sciences 12 Quantum Studies: Mathematics and Foundations 11 Linear and Multilinear Algebra 9 Interdisciplinary Information Sciences (IIS) 8 Theoretical and Mathematical Physics 8 Circuits, Systems, and Signal Processing 8 Journal of Modern Optics 7 Reports on Mathematical Physics 7 Reviews in Mathematical Physics 7 Finite Fields and their Applications 7 Physical Review A, Third Series 6 SIAM Journal on Control and Optimization 6 MSCS. Mathematical Structures in Computer Science 6 Journal of Mathematical Sciences (New York) 6 International Journal of Geometric Methods in Modern Physics 5 Modern Physics Letters A 5 Journal of Mathematical Analysis and Applications 5 Automatica 5 Journal of Scientific Computing 5 Nonlinear Dynamics 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Journal of High Energy Physics 5 Journal of Statistical Mechanics: Theory and Experiment 5 Cryptography and Communications 4 International Journal of Modern Physics A 4 Discrete Applied Mathematics 4 Physics Reports 4 Pattern Recognition 4 Soft Computing 4 Lobachevskii Journal of Mathematics 4 Physical Review Letters 4 Entropy 4 Proceedings of the Steklov Institute of Mathematics 4 Mathematics 3 Information Processing Letters 3 Journal of Computational Physics 3 Nuclear Physics. B 3 Reviews of Modern Physics 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Journal of Computer and System Sciences 3 Journal of Functional Analysis 3 SIAM Journal on Computing 3 Topology and its Applications 3 Journal of Complexity 3 Information and Computation 3 International Journal of Foundations of Computer Science 3 Computational and Applied Mathematics 3 Complexity 3 Mathematical Problems in Engineering 3 Chaos 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Applied Mathematics and Computer Science 3 Journal of Mathematical Cryptology 3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 Problems of Information Transmission 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Journal of Geometry 2 Journal of Mathematical Psychology 2 Mathematica Slovaca 2 Proceedings of the American Mathematical Society 2 Systems & Control Letters 2 Graphs and Combinatorics 2 European Journal of Operational Research 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Applicable Algebra in Engineering, Communication and Computing 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Computational Complexity 2 Journal of Algebraic Combinatorics 2 International Journal of Modern Physics D 2 Russian Journal of Mathematical Physics 2 The Electronic Journal of Combinatorics ...and 125 more Journals
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#### Cited in 59 Fields

 2,997 Quantum theory (81-XX) 1,001 Information and communication theory, circuits (94-XX) 460 Computer science (68-XX) 310 Statistical mechanics, structure of matter (82-XX) 181 Probability theory and stochastic processes (60-XX) 119 Combinatorics (05-XX) 111 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Functional analysis (46-XX) 80 Operator theory (47-XX) 77 Linear and multilinear algebra; matrix theory (15-XX) 72 Optics, electromagnetic theory (78-XX) 67 Statistics (62-XX) 53 Numerical analysis (65-XX) 48 Relativity and gravitational theory (83-XX) 47 Number theory (11-XX) 45 Partial differential equations (35-XX) 38 Systems theory; control (93-XX) 37 Group theory and generalizations (20-XX) 35 Manifolds and cell complexes (57-XX) 28 Associative rings and algebras (16-XX) 27 Operations research, mathematical programming (90-XX) 24 Algebraic geometry (14-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Biology and other natural sciences (92-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 15 Mathematical logic and foundations (03-XX) 15 Ordinary differential equations (34-XX) 14 Nonassociative rings and algebras (17-XX) 14 Category theory; homological algebra (18-XX) 14 Geometry (51-XX) 11 Topological groups, Lie groups (22-XX) 10 Mechanics of particles and systems (70-XX) 9 General and overarching topics; collections (00-XX) 9 Fluid mechanics (76-XX) 7 Measure and integration (28-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Differential geometry (53-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Field theory and polynomials (12-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 5 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Geophysics (86-XX) 3 Commutative algebra (13-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Astronomy and astrophysics (85-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)