Giri, Pulak Ranjan Quantum walk search on a two-dimensional grid with extra edges. (English) Zbl 07719536 Int. J. Theor. Phys. 62, No. 6, Paper No. 121, 12 p. (2023). MSC: 81P68 60G50 90B40 68P10 81P45 65D40 05C69 PDFBibTeX XMLCite \textit{P. R. Giri}, Int. J. Theor. Phys. 62, No. 6, Paper No. 121, 12 p. (2023; Zbl 07719536) Full Text: DOI
Nzongani, Ugo; Zylberman, Julien; Doncecchi, Carlo-Elia; Pérez, Armando; Debbasch, Fabrice; Arnault, Pablo Quantum circuits for discrete-time quantum walks with position-dependent coin operator. (English) Zbl 07706438 Quantum Inf. Process. 22, No. 7, Paper No. 270, 46 p. (2023). MSC: 81P68 PDFBibTeX XMLCite \textit{U. Nzongani} et al., Quantum Inf. Process. 22, No. 7, Paper No. 270, 46 p. (2023; Zbl 07706438) Full Text: DOI arXiv
Ruiz-Ortiz, Miguel A.; Martín-González, Ehyter M.; Santiago-Alarcon, Diego; Venegas-Andraca, Salvador E. A new definition of hitting time and an embedded Markov chain in continuous-time quantum walks. (English) Zbl 07695207 Quantum Inf. Process. 22, No. 5, Paper No. 224, 18 p. (2023). MSC: 81P68 PDFBibTeX XMLCite \textit{M. A. Ruiz-Ortiz} et al., Quantum Inf. Process. 22, No. 5, Paper No. 224, 18 p. (2023; Zbl 07695207) Full Text: DOI
Wang, Shixin; Feng, Tao Perfect state transfer on bi-Cayley graphs over abelian groups. (English) Zbl 1521.81040 Discrete Math. 346, No. 6, Article ID 113362, 22 p. (2023). MSC: 81P45 81P68 68Q12 81Q35 05C25 20K01 13D03 16H05 PDFBibTeX XMLCite \textit{S. Wang} and \textit{T. Feng}, Discrete Math. 346, No. 6, Article ID 113362, 22 p. (2023; Zbl 1521.81040) Full Text: DOI arXiv
Chaves, Rodrigo; Santos, Jaime; Chagas, Bruno Transport properties in directed quantum walks on the line. (English) Zbl 1509.81481 Quantum Inf. Process. 22, No. 3, Paper No. 144, 14 p. (2023). MSC: 81Q35 PDFBibTeX XMLCite \textit{R. Chaves} et al., Quantum Inf. Process. 22, No. 3, Paper No. 144, 14 p. (2023; Zbl 1509.81481) Full Text: DOI arXiv
da Silva, Cauê F. Teixeira; Posner, Daniel; Portugal, Renato Walking on vertices and edges by continuous-time quantum walk. (English) Zbl 1509.81252 Quantum Inf. Process. 22, No. 2, Paper No. 93, 16 p. (2023). MSC: 81P68 68Q12 05C81 15A18 81Q35 PDFBibTeX XMLCite \textit{C. F. T. da Silva} et al., Quantum Inf. Process. 22, No. 2, Paper No. 93, 16 p. (2023; Zbl 1509.81252) Full Text: DOI arXiv
Saha, Amit; Majumdar, Ritajit; Saha, Debasri; Chakrabarti, Amlan; Sur-Kolay, Susmita Faster search of clustered marked states with lackadaisical quantum walks. (English) Zbl 1508.81020 Quantum Inf. Process. 21, No. 8, Paper No. 275, 13 p. (2022). MSC: 81-10 81P16 PDFBibTeX XMLCite \textit{A. Saha} et al., Quantum Inf. Process. 21, No. 8, Paper No. 275, 13 p. (2022; Zbl 1508.81020) Full Text: DOI arXiv
Ji, Tingting; Pan, Naiqiao; Chen, Tian; Zhang, Xiangdong Fast quantum search of multiple vertices based on electric circuits. (English) Zbl 1508.81474 Quantum Inf. Process. 21, No. 5, Paper No. 172, 20 p. (2022). MSC: 81P68 PDFBibTeX XMLCite \textit{T. Ji} et al., Quantum Inf. Process. 21, No. 5, Paper No. 172, 20 p. (2022; Zbl 1508.81474) Full Text: DOI
Razzoli, Luca; Bordone, Paolo; Paris, Matteo G. A. Universality of the fully connected vertex in Laplacian continuous-time quantum walk problems. (English) Zbl 1507.81151 J. Phys. A, Math. Theor. 55, No. 26, Article ID 265303, 21 p. (2022). MSC: 81T25 82B41 05C40 05C69 05C90 PDFBibTeX XMLCite \textit{L. Razzoli} et al., J. Phys. A, Math. Theor. 55, No. 26, Article ID 265303, 21 p. (2022; Zbl 1507.81151) Full Text: DOI arXiv
Kiumi, Chusei Localization of space-inhomogeneous three-state quantum walks. (English) Zbl 1506.81030 J. Phys. A, Math. Theor. 55, No. 22, Article ID 225205, 14 p. (2022). MSC: 81Q35 15A18 81P16 PDFBibTeX XMLCite \textit{C. Kiumi}, J. Phys. A, Math. Theor. 55, No. 22, Article ID 225205, 14 p. (2022; Zbl 1506.81030) Full Text: DOI arXiv
Böttcher, Lucas; Porter, Mason A. Classical and quantum random-walk centrality measures in multilayer networks. (English) Zbl 1522.81099 SIAM J. Appl. Math. 81, No. 6, 2704-2724 (2021); erratum ibid. 83, No. 1, 327-328 (2023). MSC: 81Q35 05C81 68R10 90C35 62H20 PDFBibTeX XMLCite \textit{L. Böttcher} and \textit{M. A. Porter}, SIAM J. Appl. Math. 81, No. 6, 2704--2724 (2021; Zbl 1522.81099) Full Text: DOI arXiv
Turner, Jacob; Biamonte, Jacob Topological classification of time-asymmetry in unitary quantum processes. (English) Zbl 1519.81228 J. Phys. A, Math. Theor. 54, No. 23, Article ID 235301, 12 p. (2021). MSC: 81Q35 81Q70 81T13 82C41 82C70 PDFBibTeX XMLCite \textit{J. Turner} and \textit{J. Biamonte}, J. Phys. A, Math. Theor. 54, No. 23, Article ID 235301, 12 p. (2021; Zbl 1519.81228) Full Text: DOI arXiv
Hillery, Mark Finding more than one path through a simple maze with a quantum walk. (English) Zbl 1519.81220 J. Phys. A, Math. Theor. 54, No. 9, Article ID 095301, 11 p. (2021). MSC: 81Q35 81Q05 68Q12 81P68 PDFBibTeX XMLCite \textit{M. Hillery}, J. Phys. A, Math. Theor. 54, No. 9, Article ID 095301, 11 p. (2021; Zbl 1519.81220) Full Text: DOI arXiv
Kadian, Karuna; Garhwal, Sunita; Kumar, Ajay Quantum walk and its application domains: a systematic review. (English) Zbl 1486.68076 Comput. Sci. Rev. 41, Article ID 100419, 52 p. (2021). MSC: 68Q12 81P68 68-02 81-02 PDFBibTeX XMLCite \textit{K. Kadian} et al., Comput. Sci. Rev. 41, Article ID 100419, 52 p. (2021; Zbl 1486.68076) Full Text: DOI
Sajid, Muhammad; ul Ain, Qurat; Qureshi, Hanifa; Tayyeba, Tulva One-dimensional quantum walks with a time and spin-dependent phase shift. (English) Zbl 1520.81016 Phys. Lett., A 416, Article ID 127674, 9 p. (2021). MSC: 81P16 PDFBibTeX XMLCite \textit{M. Sajid} et al., Phys. Lett., A 416, Article ID 127674, 9 p. (2021; Zbl 1520.81016) Full Text: DOI arXiv
Fedichkin, L. E.; Meshchaninov, F. P. Analysis and applications of quantum walks. (English. Russian original) Zbl 1466.60218 J. Math. Sci., New York 252, No. 1, 104-115 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 105-116 (2018). MSC: 60K99 81Q99 PDFBibTeX XMLCite \textit{L. E. Fedichkin} and \textit{F. P. Meshchaninov}, J. Math. Sci., New York 252, No. 1, 104--115 (2021; Zbl 1466.60218); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 105--116 (2018) Full Text: DOI
Ahmad, Rashid; Sajjad, Uzma; Sajid, Muhammad One-dimensional quantum walks with a position-dependent coin. (English) Zbl 1451.82046 Commun. Theor. Phys. 72, No. 6, Article ID 065101, 11 p. (2020). MSC: 82C41 81P17 94A17 81Q35 PDFBibTeX XMLCite \textit{R. Ahmad} et al., Commun. Theor. Phys. 72, No. 6, Article ID 065101, 11 p. (2020; Zbl 1451.82046) Full Text: DOI arXiv
Sarma Sarkar, Rohit; Mandal, Amrita; Adhikari, Bibhas Periodicity of lively quantum walks on cycles with generalized Grover coin. (English) Zbl 1447.81153 Linear Algebra Appl. 604, 399-424 (2020). MSC: 81S25 05C38 15B10 15B99 60G50 20B05 PDFBibTeX XMLCite \textit{R. Sarma Sarkar} et al., Linear Algebra Appl. 604, 399--424 (2020; Zbl 1447.81153) Full Text: DOI arXiv
Giri, Pulak Ranjan; Korepin, Vladimir Lackadaisical quantum walk for spatial search. (English) Zbl 1434.81018 Mod. Phys. Lett. A 35, No. 8, Article ID 2050043, 13 p. (2020). MSC: 81P68 68P10 PDFBibTeX XMLCite \textit{P. R. Giri} and \textit{V. Korepin}, Mod. Phys. Lett. A 35, No. 8, Article ID 2050043, 13 p. (2020; Zbl 1434.81018) Full Text: DOI arXiv
Seveso, Luigi; Benedetti, Claudia; Paris, Matteo G. A. The Walker speaks its graph: global and nearly-local probing of the tunnelling amplitude in continuous-time quantum walks. (English) Zbl 1507.82011 J. Phys. A, Math. Theor. 52, No. 10, Article ID 105304, 17 p. (2019). MSC: 82B10 82B41 81P45 81P15 PDFBibTeX XMLCite \textit{L. Seveso} et al., J. Phys. A, Math. Theor. 52, No. 10, Article ID 105304, 17 p. (2019; Zbl 1507.82011) Full Text: DOI arXiv
Giri, Pulak Ranjan; Korepin, Vladimir Quantum search on Hanoi network. (English) Zbl 1447.81076 Int. J. Quantum Inf. 17, No. 7, Article ID 1950060, 11 p. (2019). MSC: 81P68 68P10 60G50 05C82 PDFBibTeX XMLCite \textit{P. R. Giri} and \textit{V. Korepin}, Int. J. Quantum Inf. 17, No. 7, Article ID 1950060, 11 p. (2019; Zbl 1447.81076) Full Text: DOI arXiv
Cao, Wei-Feng; Yang, Yu-Guang; Li, Dan; Dong, Jing-Ru; Zhou, Yi-Hua; Shi, Wei-Min Quantum state transfer on unsymmetrical graphs via discrete-time quantum walk. (English) Zbl 1428.81035 Mod. Phys. Lett. A 34, No. 38, Article ID 1950317, 12 p. (2019). MSC: 81P45 PDFBibTeX XMLCite \textit{W.-F. Cao} et al., Mod. Phys. Lett. A 34, No. 38, Article ID 1950317, 12 p. (2019; Zbl 1428.81035) Full Text: DOI
Sadowski, Przemysław; Pawela, Łukasz; Lewandowska, Paulina; Kukulski, Ryszard Quantum walks on hypergraphs. (English) Zbl 1428.81109 Int. J. Theor. Phys. 58, No. 10, 3382-3393 (2019). MSC: 81S25 05C81 05C65 82C41 PDFBibTeX XMLCite \textit{P. Sadowski} et al., Int. J. Theor. Phys. 58, No. 10, 3382--3393 (2019; Zbl 1428.81109) Full Text: DOI arXiv
Lovett, Neil B.; Everitt, Matthew; Heath, Robert M.; Kendon, Viv The quantum walk search algorithm: factors affecting efficiency. (English) Zbl 1411.68044 Math. Struct. Comput. Sci. 29, No. 3, 389-429 (2019). MSC: 68Q12 PDFBibTeX XMLCite \textit{N. B. Lovett} et al., Math. Struct. Comput. Sci. 29, No. 3, 389--429 (2019; Zbl 1411.68044) Full Text: DOI arXiv
Alonso-Lobo, César; Martínez-Quesada, Manuel; Hinarejos, Margarida; de Valcárcel, Germán J.; Roldán, Eugenio Two-particle coined-quantum walk with long-range interaction. (English) Zbl 1407.81115 J. Phys. A, Math. Theor. 51, No. 45, Article ID 455301, 13 p. (2018). MSC: 81S25 78A35 81V55 60G50 PDFBibTeX XMLCite \textit{C. Alonso-Lobo} et al., J. Phys. A, Math. Theor. 51, No. 45, Article ID 455301, 13 p. (2018; Zbl 1407.81115) Full Text: DOI arXiv
Wong, Thomas G. Faster search by lackadaisical quantum walk. (English) Zbl 1386.81051 Quantum Inf. Process. 17, No. 3, Paper No. 68, 9 p. (2018). MSC: 81P68 68P10 60G50 PDFBibTeX XMLCite \textit{T. G. Wong}, Quantum Inf. Process. 17, No. 3, Paper No. 68, 9 p. (2018; Zbl 1386.81051) Full Text: DOI arXiv
Glos, Adam; Miszczak, Jarosław Adam; Ostaszewski, Mateusz Limiting properties of stochastic quantum walks on directed graphs. (English) Zbl 1382.81127 J. Phys. A, Math. Theor. 51, No. 3, Article ID 035304, 16 p. (2018). MSC: 81S25 05C81 05C20 PDFBibTeX XMLCite \textit{A. Glos} et al., J. Phys. A, Math. Theor. 51, No. 3, Article ID 035304, 16 p. (2018; Zbl 1382.81127) Full Text: DOI arXiv
Balu, Radhakrishnan; Liu, Chaobin; Venegas-Andraca, Salvador E. Probability distributions for Markov chain based quantum walks. (English) Zbl 1382.81126 J. Phys. A, Math. Theor. 51, No. 3, Article ID 035301, 15 p. (2018). MSC: 81S25 60J20 60G50 60F05 PDFBibTeX XMLCite \textit{R. Balu} et al., J. Phys. A, Math. Theor. 51, No. 3, Article ID 035301, 15 p. (2018; Zbl 1382.81126) Full Text: DOI arXiv
Štefaňák, M.; Skoupý, S. Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs. (English) Zbl 1373.81260 Quantum Inf. Process. 16, No. 3, Paper No. 72, 14 p. (2017). MSC: 81S25 60G50 05C81 81Q35 PDFBibTeX XMLCite \textit{M. Štefaňák} and \textit{S. Skoupý}, Quantum Inf. Process. 16, No. 3, Paper No. 72, 14 p. (2017; Zbl 1373.81260) Full Text: DOI arXiv
Tulsi, Avatar Robust quantum spatial search. (English) Zbl 1348.81184 Quantum Inf. Process. 15, No. 7, 2675-2683 (2016). MSC: 81P68 68P10 PDFBibTeX XMLCite \textit{A. Tulsi}, Quantum Inf. Process. 15, No. 7, 2675--2683 (2016; Zbl 1348.81184) Full Text: DOI arXiv
Krovi, Hari; Magniez, Frédéric; Ozols, Maris; Roland, Jérémie Quantum walks can find a marked element on any graph. (English) Zbl 1336.68083 Algorithmica 74, No. 2, 851-907 (2016). MSC: 68Q12 68R10 81P68 PDFBibTeX XMLCite \textit{H. Krovi} et al., Algorithmica 74, No. 2, 851--907 (2016; Zbl 1336.68083) Full Text: DOI arXiv Link
Shakeel, Asif; Meyer, David A.; Love, Peter J. History dependent quantum random walks as quantum lattice gas automata. (English) Zbl 1305.81057 J. Math. Phys. 55, No. 12, 122204, 16 p. (2014). Reviewer: Guy Jumarie (Montréal) MSC: 81P68 81S25 60G50 PDFBibTeX XMLCite \textit{A. Shakeel} et al., J. Math. Phys. 55, No. 12, 122204, 16 p. (2014; Zbl 1305.81057) Full Text: DOI arXiv
Ambainis, Andris; Bačkurs, Artūrs; Nahimovs, Nikolajs; Ozols, Raitis; Rivosh, Alexander Search by quantum walks on two-dimensional grid without amplitude amplification. (English) Zbl 1452.68080 Iwama, Kazuo (ed.) et al., Theory of quantum computation, communication, and cryptography. 7th conference, TQC 2012, Tokyo, Japan, May 17–19, 2012. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 7582, 87-97 (2013). MSC: 68Q12 81P68 PDFBibTeX XMLCite \textit{A. Ambainis} et al., Lect. Notes Comput. Sci. 7582, 87--97 (2013; Zbl 1452.68080) Full Text: DOI arXiv
Lovett, Neil B.; Everitt, Matthew; Trevers, Matthew; Mosby, Daniel Spatial search using the discrete time quantum walk. (English) Zbl 1251.68116 Nat. Comput. 11, No. 1, 23-35 (2012). MSC: 68Q12 68P20 PDFBibTeX XMLCite \textit{N. B. Lovett} et al., Nat. Comput. 11, No. 1, 23--35 (2012; Zbl 1251.68116) Full Text: DOI arXiv Link
Venegas-Andraca, Salvador Elías Quantum walks: a comprehensive review. (English) Zbl 1283.81040 Quantum Inf. Process. 11, No. 5, 1015-1106 (2012). Reviewer: Marius Zimand (Towson) MSC: 81P68 82C41 81-02 68Q12 81S25 PDFBibTeX XMLCite \textit{S. E. Venegas-Andraca}, Quantum Inf. Process. 11, No. 5, 1015--1106 (2012; Zbl 1283.81040) Full Text: DOI arXiv
Magniez, Frédéric; Nayak, Ashwin; Richter, Peter C.; Santha, Miklos On the hitting times of quantum versus random walks. (English) Zbl 1236.68072 Algorithmica 63, No. 1-2, 91-116 (2012). MSC: 68Q12 81P68 60G50 60J20 PDFBibTeX XMLCite \textit{F. Magniez} et al., Algorithmica 63, No. 1--2, 91--116 (2012; Zbl 1236.68072) Full Text: DOI arXiv
Miszczak, J. A. Models of quantum computation and quantum programming languages. (English) Zbl 1291.68171 Bull. Pol. Acad. Sci., Tech. Sci. 59, No. 3, 305-324 (2011). MSC: 68Q12 68N15 68Q05 81P68 PDFBibTeX XMLCite \textit{J. A. Miszczak}, Bull. Pol. Acad. Sci., Tech. Sci. 59, No. 3, 305--324 (2011; Zbl 1291.68171) Full Text: DOI arXiv Link
Xu, X.-P. Discrete-time quantum walks on one-dimensional lattices. (English) Zbl 1515.81163 Eur. Phys. J. B, Condens. Matter Complex Syst. 77, No. 4, 479-488 (2010). MSC: 81S25 PDFBibTeX XMLCite \textit{X. P. Xu}, Eur. Phys. J. B, Condens. Matter Complex Syst. 77, No. 4, 479--488 (2010; Zbl 1515.81163) Full Text: DOI arXiv
Patel, Apoorva; Raghunathan, K. S.; Rahaman, Md. Aminoor Search on a hypercubic lattice using a quantum random walk. II. \(d=2\). (English) Zbl 1255.81114 Phys. Rev. A (3) 82, No. 3, Article ID 032331, 5 p. (2010). MSC: 81P68 81S25 PDFBibTeX XMLCite \textit{A. Patel} et al., Phys. Rev. A (3) 82, No. 3, Article ID 032331, 5 p. (2010; Zbl 1255.81114) Full Text: DOI arXiv
Patel, Apoorva; Rahaman, Md. Aminoor Search on a hypercubic lattice using a quantum random walk. I. \(d>2\). (English) Zbl 1255.81115 Phys. Rev. A (3) 82, No. 3, Article ID 032330, 10 p. (2010). MSC: 81P68 81S25 PDFBibTeX XMLCite \textit{A. Patel} and \textit{Md. A. Rahaman}, Phys. Rev. A (3) 82, No. 3, Article ID 032330, 10 p. (2010; Zbl 1255.81115) Full Text: DOI arXiv
D’Alessandro, Domenico Connection between continuous and discrete time quantum walks. From \(D\)-dimensional lattices to general graphs. (English) Zbl 1237.82025 Rep. Math. Phys. 66, No. 1, 85-102 (2010). MSC: 82B41 81P45 PDFBibTeX XMLCite \textit{D. D'Alessandro}, Rep. Math. Phys. 66, No. 1, 85--102 (2010; Zbl 1237.82025) Full Text: DOI arXiv
Childs, Andrew M.; van Dam, Wim Quantum algorithms for algebraic problems. (English) Zbl 1205.81057 Rev. Mod. Phys. 82, No. 1, 1-52 (2010). MSC: 81P68 81-04 PDFBibTeX XMLCite \textit{A. M. Childs} and \textit{W. van Dam}, Rev. Mod. Phys. 82, No. 1, 1--52 (2010; Zbl 1205.81057) Full Text: DOI arXiv
Childs, Andrew M. On the relationship between continuous- and discrete-time quantum walk. (English) Zbl 1207.81029 Commun. Math. Phys. 294, No. 2, 581-603 (2010). MSC: 81Q35 81S25 81P68 68Q12 PDFBibTeX XMLCite \textit{A. M. Childs}, Commun. Math. Phys. 294, No. 2, 581--603 (2010; Zbl 1207.81029) Full Text: DOI arXiv
Tulsi, Avatar Faster quantum-walk algorithm for the two-dimensional spatial search. (English) Zbl 1255.81118 Phys. Rev. A (3) 78, No. 1, Article ID 012310, 6 p. (2008). MSC: 81P68 PDFBibTeX XMLCite \textit{A. Tulsi}, Phys. Rev. A (3) 78, No. 1, Article ID 012310, 6 p. (2008; Zbl 1255.81118) Full Text: DOI arXiv
Konno, Norio Quantum walks. (English) Zbl 1329.82011 Franz, Uwe (ed.) et al., Quantum potential theory. Lectures given at the school ‘Quantum potential theory: Structure and applications to physics’, Greifswald, Germany, February 26 to March 9, 2007. Berlin: Springer (ISBN 978-3-540-69364-2/pbk). Lecture Notes in Mathematics 1954, 309-452 (2008). MSC: 82B10 82-02 81S25 82B41 60G50 PDFBibTeX XMLCite \textit{N. Konno}, Lect. Notes Math. 1954, 309--452 (2008; Zbl 1329.82011) Full Text: DOI
Ambainis, Andris; Rivosh, Alexander Quantum walks with multiple or moving marked locations. (English) Zbl 1132.68383 Geffert, Viliam (ed.) et al., SOFSEM 2008: Theory and practice of computer science. 34th conference on current trends in theory and practice of computer science, Nový Smokovec, Slovakia, January 19–25, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-77565-2/pbk). Lecture Notes in Computer Science 4910, 485-496 (2008). MSC: 68Q05 68T20 81P68 PDFBibTeX XMLCite \textit{A. Ambainis} and \textit{A. Rivosh}, Lect. Notes Comput. Sci. 4910, 485--496 (2008; Zbl 1132.68383) Full Text: DOI
Ambainis, Andris Quantum random walks – new method for designing quantum algorithms. (English) Zbl 1132.68382 Geffert, Viliam (ed.) et al., SOFSEM 2008: Theory and practice of computer science. 34th conference on current trends in theory and practice of computer science, Nový Smokovec, Slovakia, January 19–25, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-77565-2/pbk). Lecture Notes in Computer Science 4910, 1-4 (2008). MSC: 68Q05 68T20 68W01 81P68 PDFBibTeX XMLCite \textit{A. Ambainis}, Lect. Notes Comput. Sci. 4910, 1--4 (2008; Zbl 1132.68382) Full Text: DOI
Strauch, Frederick W. Relativistic effects and rigorous limits for discrete- and continuous-time quantum walks. (English) Zbl 1152.81612 J. Math. Phys. 48, No. 8, 082102, 27 p. (2007). MSC: 82B41 33C10 81S99 PDFBibTeX XMLCite \textit{F. W. Strauch}, J. Math. Phys. 48, No. 8, 082102, 27 p. (2007; Zbl 1152.81612) Full Text: DOI
Kendon, Viv Decoherence in quantum walks - a review. (English) Zbl 1130.81325 Math. Struct. Comput. Sci. 17, No. 6, 1169-1220 (2007). MSC: 81P68 82C41 81-02 PDFBibTeX XMLCite \textit{V. Kendon}, Math. Struct. Comput. Sci. 17, No. 6, 1169--1220 (2007; Zbl 1130.81325) Full Text: DOI arXiv
Kendon, Viv Quantum walks on general graphs. (English) Zbl 1121.81025 Int. J. Quantum Inf. 4, No. 5, 791-805 (2006). MSC: 81P68 PDFBibTeX XMLCite \textit{V. Kendon}, Int. J. Quantum Inf. 4, No. 5, 791--805 (2006; Zbl 1121.81025) Full Text: DOI arXiv
Wójcik, Daniel K. Quantum maps with space extent: a paradigm for lattice quantum walks. (English) Zbl 1101.82031 Int. J. Mod. Phys. B 20, No. 14, 1969-2017 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C41 82C10 81Q50 37F15 37D25 PDFBibTeX XMLCite \textit{D. K. Wójcik}, Int. J. Mod. Phys. B 20, No. 14, 1969--2017 (2006; Zbl 1101.82031) Full Text: DOI
Patel, Apoorva; Raghunathan, K. S.; Rungta, Pranaw Quantum random walks do not need a coin toss. (English) Zbl 1227.81123 Phys. Rev. A (3) 71, No. 3, Part A, Article ID 032347, 6 p. (2005). MSC: 81P68 60G50 81S25 PDFBibTeX XMLCite \textit{A. Patel} et al., Phys. Rev. A (3) 71, No. 3, Part A, Article ID 032347, 6 p. (2005; Zbl 1227.81123) Full Text: DOI arXiv