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Życzkowski, Karol

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Author ID: zyczkowski.karol Recent zbMATH articles by "Życzkowski, Karol"
Published as: Życzkowski, Karol; Życzkowski, K.; Zyczkowski, Karol; Ẓyczkowski, Karol; Życzkowski, Karo
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Documents Indexed: 107 Publications since 1994, including 4 Books
all top 5

Co-Authors

6 single-authored
14 Puchała, Zbigniew
13 Sommers, Hans-Jürgen
12 Bengtsson, Ingemar
10 Słomczyński, Wojciech
7 Gawron, Piotr
7 Kuś, Marek
6 Collins, Benoît
6 Nechita, Ion
6 Roga, Wojciech
5 Dunkl, Charles F.
5 Miszczak, Jaroslaw Adam
4 Bruzda, Wojciech T.
4 Choi, Man-Duen
4 Fannes, Mark
4 Holbrook, John A. R.
4 Kribs, David W.
4 Pakoński, Prot
4 Skowronek, Łukasz
4 Szarek, Stanislaw Jerzy
4 Tadej, Wojciech
3 Bollt, Erik M.
3 Cappellini, Valerio
3 Ostruszka, Andrzej
3 Pawela, Łukasz
3 Rudnicki, Łukasz
3 Smaczyński, Marek
3 Werner, Elisabeth M.
2 Braun, Daniel
2 Czartowski, Jakub
2 Ericsson, Åsa
2 Goyeneche, Dardo
2 Horodecki, Paweł
2 Jamiołkowski, Andrzej
2 Kwapień, Jarosław
2 Lai, Yingcheng
2 Nishikawa, Takashi
2 Penson, Karol A.
2 Szarek, Tomasz Jakub
2 Szymański, Konrad
2 Weis, Stephan
1 Adamczak, Radosław
1 Alicki, Robert
1 Amaro-Alcalá, David
1 Ashwin, Peter
1 Aurell, Erik
1 Banica, Teodor
1 Białończyk, Michał
1 Boratyn, Daria
1 Brannlund, Johan
1 Buchleitner, Andreas
1 de Melo, Fernando
1 Durt, Thomas
1 Englert, Berthold-Georg
1 Fischmann, Jonit
1 Fu, Xinchu
1 Gąsiorowski, Adam
1 Gnutzmann, Sven
1 Góra, Paweł
1 Gutkin, Eugene
1 Haake, Fritz
1 Jurkowski, Jacek
1 Khoruzhenko, Boris A.
1 Kirsch, Werner
1 Kousha, Termeh
1 Krawiec, Aleksandra
1 Kukulski, Ryszard
1 Kulik, Rafał
1 Larsson, Jan-Åke
1 Latała, Rafał
1 Lipka-Bartosik, Patryk
1 Litvak, Aleksandr Evgen’evich
1 Łoziński, Artur
1 Maassen, Hans
1 Majgier, Krzysztof
1 Michalski, Miłosz R.
1 Młotkowski, Wojciech
1 Osipov, Vladimir Al
1 Pasieka, Aron
1 Poźniak, Marcin
1 Rajchel, Grzegorz
1 Rastëgin, Alekseĭ Èduardovich
1 Schomerus, Henning
1 Seveso, Luigi
1 Shahbeigi, Fereshte
1 Stanford, Theodore B.
1 Stolicki, Dariusz
1 Størmer, Erling
1 Tanner, Gregor K.
1 Tkocz, Tomasz
1 Uhlmann, Armin
1 Zakrzewski, Jakub
1 Zeitouni, Ofer

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 1,362 times in 951 Documents Cited by Year
Geometry of quantum states. An introduction to quantum entanglement. Zbl 1146.81004
Bengtsson, Ingemar; Życzkowski, Karol
207
2006
On mutually unbiased bases. Zbl 1208.81052
Durt, Thomas; Englert, Berthold-Georg; Bengtsson, Ingemar; Życzkowski, Karol
89
2010
A concise guide to complex Hadamard matrices. Zbl 1105.15020
Tadej, Wojciech; Życzkowski, Karol
76
2006
Induced measures in the space of mixed quantum states. Zbl 1031.81011
Życzkowski, Karol; Sommers, Hans-Jürgen
69
2001
Geometry of quantum states. An introduction to quantum entanglement. 1st paperback ed. Zbl 1155.81002
Bengtsson, Ingemar; Życzkowski, Karol
58
2007
Higher-rank numerical ranges and compression problems. Zbl 1106.15019
Choi, Man-Duen; Kribs, David W.; Życzkowski, Karol
43
2006
Truncations of random unitary matrices. Zbl 0957.82017
Życzkowski, Karol; Sommers, Hans-Jürgen
42
2000
Quantum error correcting codes from the compression formalism. Zbl 1120.81011
Choi, Man-Duen; Kribs, David W.; Życzkowski, Karol
41
2006
Geometry of quantum states. An introduction to quantum entanglement. 2nd edition. Zbl 1392.81005
Bengtsson, Ingemar; Życzkowski, Karol
31
2017
On duality between quantum maps and quantum states. Zbl 1052.81011
Życzkowski, Karol; Bengtsson, Ingemar
30
2004
Mutually unbiased bases and Hadamard matrices of order six. Zbl 1144.81314
Bengtsson, Ingemar; Bruzda, Wojciech; Ericsson, Åsa; Larsson, Jan-Åke; Tadej, Wojciech; Życzkowski, Karol
28
2007
Birkhoff’s polytope and unistochastic matrices, \(N=3\) and \(N=4\). Zbl 1081.60539
Bengtsson, Ingemar; Ericsson, Åsa; Kuś, Marek; Tadej, Wojciech; Życzkowski, Karol
27
2005
What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series. Zbl 0994.37008
Bollt, Erik M.; Stanford, Theodore; Lai, Ying-Cheng; Życzkowski, Karol
26
2001
Rényi extrapolation of Shannon entropy. Zbl 1030.94022
Życzkowski, Karol
25
2003
Cones of positive maps and their duality relations. Zbl 1216.46052
Skowronek, Lukasz; Størmer, Erling; Życzkowski, Karol
23
2009
Hilbert-Schmidt volume of the set of mixed quantum states. Zbl 1052.81012
Życzkowski, Karol; Sommers, Hans-Jürgen
23
2003
Generating random density matrices. Zbl 1317.81041
Życzkowski, Karol; Penson, Karol A.; Nechita, Ion; Collins, Benoît
23
2011
Densities of the Raney distributions. Zbl 1291.44016
Mlotkowski, Wojciech; Penson, Karol A.; Życzkowski, Karol
22
2013
Majorization entropic uncertainty relations. Zbl 1270.81116
Puchała, Zbigniew; Rudnicki, Łukasz; Życzkowski, Karol
20
2013
Bures volume of the set of mixed quantum states. Zbl 1052.81028
Sommers, Hans-Jürgen; Życzkowski, Karol
20
2003
Statistical properties of random density matrices. Zbl 1062.82005
Sommers, Hans-Jürgen; Życzkowski, Karo
19
2004
Defect of a unitary matrix. Zbl 1143.15024
Tadej, Wojciech; Życzkowski, Karol
19
2008
Random unistochastic matrices. Zbl 1038.15012
Życzkowski, Karol; Kuś, Marek; Słomczyński, Wojciech; Sommers, Hans-Jürgen
18
2003
Higher-rank numerical ranges of unitary and normal matrices. Zbl 1133.15021
Choi, Man-Duen; Holbrook, John A.; Kribs, David W.; Życzkowski, Karol
18
2007
Composed ensembles of random unitary matrices. Zbl 0952.82014
Poźniak, Marcin; Życzkowski, Karol; Kuś, Marek
15
1998
Random graph states, maximal flow and Fuss-Catalan distributions. Zbl 1193.81031
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
15
2010
Random quantum operations. Zbl 1227.81019
Bruzda, Wojciech; Cappellini, Valerio; Sommers, Hans-Jürgen; Ẓyczkowski, Karol
14
2009
Induced Ginibre ensemble of random matrices and quantum operations. Zbl 1241.81011
Fischmann, Jonit; Bruzda, Wojciech; Khoruzhenko, Boris A.; Sommers, Hans-Jürgen; Życzkowski, Karol
14
2012
Entropy computing via integration over fractal measures. Zbl 0999.37055
Słomczyński, Wojciech; Kwapień, Jarosław; Życzkowski, Karol
13
2000
The Monge metric on the sphere and geometry of quantum states. Zbl 1012.81009
Życzkowski, Karol; Słomczyński, Wojciech
12
2001
Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive. Zbl 1153.81441
Szarek, Stanisław J.; Werner, Elisabeth; Życzkowski, Karol
12
2008
Quantum chaos: An entropy approach. Zbl 0822.58032
Słomczyński, Wojciech; Życzkowski, Karol
11
1994
Random Bures mixed states and the distribution of their purity. Zbl 1186.81033
Osipov, V. Al; Sommers, H.-J.; Życzkowski, K.
11
2010
Quartic quantum theory: an extension of the standard quantum mechanics. Zbl 1179.81088
Życzkowski, Karol
11
2008
Restricted numerical range: a versatile tool in the theory of quantum information. Zbl 1314.81045
Gawron, Piotr; Puchała, Zbigniew; Miszczak, Jarosław Adam; Skowronek, Łukasz; Życzkowski, Karol
11
2010
Classical 1D maps, quantum graphs and ensembles of unitary matrices. Zbl 0995.82040
Pakoński, Prot; Życzkowski, Karol; Kuś, Marek
10
2001
On the structure of the body of states with positive partial transpose. Zbl 1085.81035
Szarek, Stanislaw J.; Bengtsson, Ingemar; Życzkowski, Karol
10
2006
Secular determinants of random unitary matrices. Zbl 0899.15013
Haake, Fritz; Kuś, Marek; Sommers, Hans-Jürgen; Schomerus, Henning; Życzkowski, Karol
9
1996
Families of line-graphs and their quantization. Zbl 1019.05046
Pakoński, Prot; Tanner, Gregor; Życzkowski, Karol
9
2003
Sub- and super-fidelity as bounds for quantum fidelity. Zbl 1160.81009
Miszczak, Jaroslaw Adam; Puchala, Zbigniew; Horodecki, Pawel; Uhlmann, Armin; Życzkowski, Karol
9
2009
Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant. Zbl 1373.15051
Dunkl, Charles; Życzkowski, Karol
9
2009
Joint numerical ranges, quantum maps, and joint numerical shadows. Zbl 1266.15034
Gutkin, Eugene; Życzkowski, Karol
9
2013
Product numerical range in a space with tensor product structure. Zbl 1207.15025
Puchała, Zbigniew; Gawron, Piotr; Miszczak, Jarosław Adam; Skowronek, Łukasz; Choi, Man-Duen; Życzkowski, Karol
8
2011
Rényi-Wehrl entropies as measures of localization in phase space. Zbl 0994.82008
Gnutzmann, Sven; Życzkowski, Karol
7
2001
The Monge distance between quantum states. Zbl 0954.81042
Życzkowski, Karol; Słomczyński, Wojeciech
7
1998
Random bistochastic matrices. Zbl 1179.15036
Cappellini, Valerio; Sommers, Hans-Jürgen; Bruzda, Wojciech; Życzkowski, Karol
7
2009
Restricted numerical shadow and the geometry of quantum entanglement. Zbl 1258.81018
Puchała, Zbigniew; Miszczak, Jarosław Adam; Gawron, Piotr; Dunkl, Charles F.; Holbrook, John A.; Życzkowski, Karol
7
2012
On the entropy devil’s staircase in a family of gap-tent maps. Zbl 0983.37011
Życzkowski, Karol; Bollt, Erik M.
6
1999
Numerical shadow and geometry of quantum states. Zbl 1226.81026
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Miszczak, Jarosław A.; Puchała, Zbigniew; Życzkowski, Karol
6
2011
Basis Markov partitions and transition matrices for stochastic systems. Zbl 1159.37420
Bollt, Erik; Góra, Paweł; Ostruszka, Andrzej; Życzkowski, Karol
6
2008
Majorization entropic uncertainty relations for quantum operations. Zbl 1352.81043
Rastegin, Alexey E.; Życzkowski, Karol
6
2016
Geometry of the set of mixed quantum states: an apophatic approach. Zbl 1264.81029
Bengtsson, Ingemar; Weis, Stephan; Życzkowski, Karol
6
2013
\(\mathbb{C} P^n\), or, entanglement illustrated. Zbl 1024.81004
Bengtsson, Ingemar; Brännlund, Johan; Życzkowski, Karol
5
2002
Numerical shadows: measures and densities on the numerical range. Zbl 1227.15019
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Puchała, Zbigniew; Życzkowski, Karol
5
2011
Davies maps for qubits and qutrits. Zbl 1225.81083
Roga, Wojciech; Fannes, Mark; Życzkowski, Karol
5
2010
Almost Hadamard matrices: general theory and examples. Zbl 1263.15030
Banica, Teodor; Nechita, Ion; Życzkowski, Karol
5
2012
Invariant sets for discontinuous parabolic area-preserving torus maps. Zbl 0952.37007
Ashwin, Peter; Fu, Xin-Chu; Nishikawa, Takashi; Życzkowski, Karol
4
2000
Quantum dynamical entropy and decoherence rate. Zbl 1054.81009
Alicki, Robert; Łoziński, Artur; Pakoński, Prot; Życzkowski, Karol
4
2004
Average fidelity between random quantum states. Zbl 1227.81063
Życzkowski, Karol; Sommers, Hans-Jürgen
4
2005
How often is a random quantum state \(k\)-entangled? Zbl 1206.81023
Szarek, Stanisław J.; Werner, Elisabeth; Życzkowski, Karol
4
2011
Subnormalized states and trace-nonincreasing maps. Zbl 1144.81320
Cappellini, Valerio; Sommers, Hans-Jürgen; Życzkowski, Karol
4
2007
Composition of quantum states and dynamical subadditivity. Zbl 1132.81011
Roga, Wojciech; Fannes, Mark; Życzkowski, Karol
4
2008
Entropy of a quantum error correction code. Zbl 1188.81048
Kribs, David W.; Pasieka, Aron; Życzkowski, Karol
4
2008
Coherent states measurement entropy. Zbl 0921.58061
Kwapień, Jarosław; Słomczyński, Wojciech; Życzkowski, Karol
3
1997
Relativity of pure states entanglement. Zbl 1038.81007
Życzkowski, Karol; Bengtsson, Ingemar
3
2002
Linear parabolic maps on the torus. Zbl 0934.37008
Życzkowski, Karol; Nishikawa, Takashi
3
1999
Entropic characterization of quantum operations. Zbl 1223.81079
Roga, Wojciech; Życzkowski, Karol; Fannes, Mark
3
2011
Area law for random graph states. Zbl 1272.81027
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
3
2013
Asymptotic entropic uncertainty relations. Zbl 1379.94024
Adamczak, Radosław; Latała, Rafał; Puchała, Zbigniew; Życzkowski, Karol
3
2016
Positive maps, positive polynomials and entanglement witnesses. Zbl 1441.81029
Skowronek, Łukasz; Życzkowski, Karol
3
2009
Matrices of fidelities for ensembles of quantum states and the Holevo quantity. Zbl 1256.81021
Fannes, Mark; de Melo, Fernando; Roga, Wojciech; Życzkowski, Karol
3
2012
Protected subspaces in quantum information. Zbl 1194.81047
Majgier, Krzysztof; Maassen, Hans; Życzkowski, Karol
3
2010
Tensor products of random unitary matrices. Zbl 1262.60010
Tkocz, Tomasz; Smaczyński, Marek; Kuś, Marek; Zeitouni, Ofer; Życzkowski, Karol
3
2012
Almost all quantum channels are equidistant. Zbl 1390.81054
Nechita, Ion; Puchała, Zbigniew; Pawela, Łukasz; Życzkowski, Karol
2
2018
Classification of joint numerical ranges of three Hermitian matrices of size three. Zbl 06859204
Szymański, Konrad; Weis, Stephan; Życzkowski, Karol
2
2018
Square root voting system, optimal threshold and \(\pi\). Zbl 1419.91266
Życzkowski, Karol; Słomczyński, Wojciech
2
2013
Coherent states quantum entropy. Zbl 0989.82513
Życzkowski, Karol; Słomczyński, Wojciech
1
1995
Majorization uncertainty relations for mixed quantum states. Zbl 1390.81056
Puchała, Zbigniew; Rudnicki, Łukasz; Krawiec, Aleksandra; Życzkowski, Karol
1
2018
Composition of quantum operations and products of random matrices. Zbl 1375.60026
Roga, Wojciech; Smaczyński, Marek; Życzkowski, Karol
1
2011
Nuclear numerical range and quantum error correction codes for non-unitary noise models. Zbl 1398.81056
Lipka-Bartosik, Patryk; Życzkowski, Karol
1
2017
Time reversals of irreversible quantum maps. Zbl 1397.81023
Aurell, Erik; Zakrzewski, Jakub; Życzkowski, Karol
1
2015
Numerical range for random matrices. Zbl 1307.15055
Collins, Benoît; Gawron, Piotr; Litvak, Alexander E.; Życzkowski, Karol
1
2014
Entanglement properties of multipartite informationally complete quantum measurements. Zbl 1396.81019
Czartowski, Jakub; Goyeneche, Dardo; Życzkowski, Karol
1
2018
The accessibility of convex bodies and derandomization of the hit and run algorithm. Zbl 1396.52005
Collins, Benoît; Kousha, Termeh; Kulik, Rafał; Szarek, Tomasz; Życzkowski, Karol
1
2017
Mathematical aspects of degressive proportionality. Zbl 1237.91201
Słomczyński, Wojciech; Życzkowski, Karol
1
2012
Mini-workshop: Geometry of quantum entanglement. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00052
Buchleitner, Andreas (ed.); Szarek, Stanislaw J. (ed.); Werner, Elisabeth (ed.); Zyczkowski, Karol (ed.)
1
2009
Robust Hadamard matrices, unistochastic rays in Birkhoff polytope and equi-entangled bases in composite spaces. Zbl 1444.05033
Rajchel, Grzegorz; Gąsiorowski, Adam; Życzkowski, Karol
1
2018
Almost all quantum channels are equidistant. Zbl 1390.81054
Nechita, Ion; Puchała, Zbigniew; Pawela, Łukasz; Życzkowski, Karol
2
2018
Classification of joint numerical ranges of three Hermitian matrices of size three. Zbl 06859204
Szymański, Konrad; Weis, Stephan; Życzkowski, Karol
2
2018
Majorization uncertainty relations for mixed quantum states. Zbl 1390.81056
Puchała, Zbigniew; Rudnicki, Łukasz; Krawiec, Aleksandra; Życzkowski, Karol
1
2018
Entanglement properties of multipartite informationally complete quantum measurements. Zbl 1396.81019
Czartowski, Jakub; Goyeneche, Dardo; Życzkowski, Karol
1
2018
Robust Hadamard matrices, unistochastic rays in Birkhoff polytope and equi-entangled bases in composite spaces. Zbl 1444.05033
Rajchel, Grzegorz; Gąsiorowski, Adam; Życzkowski, Karol
1
2018
Geometry of quantum states. An introduction to quantum entanglement. 2nd edition. Zbl 1392.81005
Bengtsson, Ingemar; Życzkowski, Karol
31
2017
Nuclear numerical range and quantum error correction codes for non-unitary noise models. Zbl 1398.81056
Lipka-Bartosik, Patryk; Życzkowski, Karol
1
2017
The accessibility of convex bodies and derandomization of the hit and run algorithm. Zbl 1396.52005
Collins, Benoît; Kousha, Termeh; Kulik, Rafał; Szarek, Tomasz; Życzkowski, Karol
1
2017
Majorization entropic uncertainty relations for quantum operations. Zbl 1352.81043
Rastegin, Alexey E.; Życzkowski, Karol
6
2016
Asymptotic entropic uncertainty relations. Zbl 1379.94024
Adamczak, Radosław; Latała, Rafał; Puchała, Zbigniew; Życzkowski, Karol
3
2016
Time reversals of irreversible quantum maps. Zbl 1397.81023
Aurell, Erik; Zakrzewski, Jakub; Życzkowski, Karol
1
2015
Numerical range for random matrices. Zbl 1307.15055
Collins, Benoît; Gawron, Piotr; Litvak, Alexander E.; Życzkowski, Karol
1
2014
Densities of the Raney distributions. Zbl 1291.44016
Mlotkowski, Wojciech; Penson, Karol A.; Życzkowski, Karol
22
2013
Majorization entropic uncertainty relations. Zbl 1270.81116
Puchała, Zbigniew; Rudnicki, Łukasz; Życzkowski, Karol
20
2013
Joint numerical ranges, quantum maps, and joint numerical shadows. Zbl 1266.15034
Gutkin, Eugene; Życzkowski, Karol
9
2013
Geometry of the set of mixed quantum states: an apophatic approach. Zbl 1264.81029
Bengtsson, Ingemar; Weis, Stephan; Życzkowski, Karol
6
2013
Area law for random graph states. Zbl 1272.81027
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
3
2013
Square root voting system, optimal threshold and \(\pi\). Zbl 1419.91266
Życzkowski, Karol; Słomczyński, Wojciech
2
2013
Induced Ginibre ensemble of random matrices and quantum operations. Zbl 1241.81011
Fischmann, Jonit; Bruzda, Wojciech; Khoruzhenko, Boris A.; Sommers, Hans-Jürgen; Życzkowski, Karol
14
2012
Restricted numerical shadow and the geometry of quantum entanglement. Zbl 1258.81018
Puchała, Zbigniew; Miszczak, Jarosław Adam; Gawron, Piotr; Dunkl, Charles F.; Holbrook, John A.; Życzkowski, Karol
7
2012
Almost Hadamard matrices: general theory and examples. Zbl 1263.15030
Banica, Teodor; Nechita, Ion; Życzkowski, Karol
5
2012
Matrices of fidelities for ensembles of quantum states and the Holevo quantity. Zbl 1256.81021
Fannes, Mark; de Melo, Fernando; Roga, Wojciech; Życzkowski, Karol
3
2012
Tensor products of random unitary matrices. Zbl 1262.60010
Tkocz, Tomasz; Smaczyński, Marek; Kuś, Marek; Zeitouni, Ofer; Życzkowski, Karol
3
2012
Mathematical aspects of degressive proportionality. Zbl 1237.91201
Słomczyński, Wojciech; Życzkowski, Karol
1
2012
Generating random density matrices. Zbl 1317.81041
Życzkowski, Karol; Penson, Karol A.; Nechita, Ion; Collins, Benoît
23
2011
Product numerical range in a space with tensor product structure. Zbl 1207.15025
Puchała, Zbigniew; Gawron, Piotr; Miszczak, Jarosław Adam; Skowronek, Łukasz; Choi, Man-Duen; Życzkowski, Karol
8
2011
Numerical shadow and geometry of quantum states. Zbl 1226.81026
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Miszczak, Jarosław A.; Puchała, Zbigniew; Życzkowski, Karol
6
2011
Numerical shadows: measures and densities on the numerical range. Zbl 1227.15019
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Puchała, Zbigniew; Życzkowski, Karol
5
2011
How often is a random quantum state \(k\)-entangled? Zbl 1206.81023
Szarek, Stanisław J.; Werner, Elisabeth; Życzkowski, Karol
4
2011
Entropic characterization of quantum operations. Zbl 1223.81079
Roga, Wojciech; Życzkowski, Karol; Fannes, Mark
3
2011
Composition of quantum operations and products of random matrices. Zbl 1375.60026
Roga, Wojciech; Smaczyński, Marek; Życzkowski, Karol
1
2011
On mutually unbiased bases. Zbl 1208.81052
Durt, Thomas; Englert, Berthold-Georg; Bengtsson, Ingemar; Życzkowski, Karol
89
2010
Random graph states, maximal flow and Fuss-Catalan distributions. Zbl 1193.81031
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
15
2010
Random Bures mixed states and the distribution of their purity. Zbl 1186.81033
Osipov, V. Al; Sommers, H.-J.; Życzkowski, K.
11
2010
Restricted numerical range: a versatile tool in the theory of quantum information. Zbl 1314.81045
Gawron, Piotr; Puchała, Zbigniew; Miszczak, Jarosław Adam; Skowronek, Łukasz; Życzkowski, Karol
11
2010
Davies maps for qubits and qutrits. Zbl 1225.81083
Roga, Wojciech; Fannes, Mark; Życzkowski, Karol
5
2010
Protected subspaces in quantum information. Zbl 1194.81047
Majgier, Krzysztof; Maassen, Hans; Życzkowski, Karol
3
2010
Cones of positive maps and their duality relations. Zbl 1216.46052
Skowronek, Lukasz; Størmer, Erling; Życzkowski, Karol
23
2009
Random quantum operations. Zbl 1227.81019
Bruzda, Wojciech; Cappellini, Valerio; Sommers, Hans-Jürgen; Ẓyczkowski, Karol
14
2009
Sub- and super-fidelity as bounds for quantum fidelity. Zbl 1160.81009
Miszczak, Jaroslaw Adam; Puchala, Zbigniew; Horodecki, Pawel; Uhlmann, Armin; Życzkowski, Karol
9
2009
Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant. Zbl 1373.15051
Dunkl, Charles; Życzkowski, Karol
9
2009
Random bistochastic matrices. Zbl 1179.15036
Cappellini, Valerio; Sommers, Hans-Jürgen; Bruzda, Wojciech; Życzkowski, Karol
7
2009
Positive maps, positive polynomials and entanglement witnesses. Zbl 1441.81029
Skowronek, Łukasz; Życzkowski, Karol
3
2009
Mini-workshop: Geometry of quantum entanglement. Abstracts from the mini-workshop held December 6th – December 12th, 2009. Zbl 1192.00052
Buchleitner, Andreas; Szarek, Stanislaw J.; Werner, Elisabeth; Zyczkowski, Karol
1
2009
Defect of a unitary matrix. Zbl 1143.15024
Tadej, Wojciech; Życzkowski, Karol
19
2008
Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive. Zbl 1153.81441
Szarek, Stanisław J.; Werner, Elisabeth; Życzkowski, Karol
12
2008
Quartic quantum theory: an extension of the standard quantum mechanics. Zbl 1179.81088
Życzkowski, Karol
11
2008
Basis Markov partitions and transition matrices for stochastic systems. Zbl 1159.37420
Bollt, Erik; Góra, Paweł; Ostruszka, Andrzej; Życzkowski, Karol
6
2008
Composition of quantum states and dynamical subadditivity. Zbl 1132.81011
Roga, Wojciech; Fannes, Mark; Życzkowski, Karol
4
2008
Entropy of a quantum error correction code. Zbl 1188.81048
Kribs, David W.; Pasieka, Aron; Życzkowski, Karol
4
2008
Geometry of quantum states. An introduction to quantum entanglement. 1st paperback ed. Zbl 1155.81002
Bengtsson, Ingemar; Życzkowski, Karol
58
2007
Mutually unbiased bases and Hadamard matrices of order six. Zbl 1144.81314
Bengtsson, Ingemar; Bruzda, Wojciech; Ericsson, Åsa; Larsson, Jan-Åke; Tadej, Wojciech; Życzkowski, Karol
28
2007
Higher-rank numerical ranges of unitary and normal matrices. Zbl 1133.15021
Choi, Man-Duen; Holbrook, John A.; Kribs, David W.; Życzkowski, Karol
18
2007
Subnormalized states and trace-nonincreasing maps. Zbl 1144.81320
Cappellini, Valerio; Sommers, Hans-Jürgen; Życzkowski, Karol
4
2007
Geometry of quantum states. An introduction to quantum entanglement. Zbl 1146.81004
Bengtsson, Ingemar; Życzkowski, Karol
207
2006
A concise guide to complex Hadamard matrices. Zbl 1105.15020
Tadej, Wojciech; Życzkowski, Karol
76
2006
Higher-rank numerical ranges and compression problems. Zbl 1106.15019
Choi, Man-Duen; Kribs, David W.; Życzkowski, Karol
43
2006
Quantum error correcting codes from the compression formalism. Zbl 1120.81011
Choi, Man-Duen; Kribs, David W.; Życzkowski, Karol
41
2006
On the structure of the body of states with positive partial transpose. Zbl 1085.81035
Szarek, Stanislaw J.; Bengtsson, Ingemar; Życzkowski, Karol
10
2006
Birkhoff’s polytope and unistochastic matrices, \(N=3\) and \(N=4\). Zbl 1081.60539
Bengtsson, Ingemar; Ericsson, Åsa; Kuś, Marek; Tadej, Wojciech; Życzkowski, Karol
27
2005
Average fidelity between random quantum states. Zbl 1227.81063
Życzkowski, Karol; Sommers, Hans-Jürgen
4
2005
On duality between quantum maps and quantum states. Zbl 1052.81011
Życzkowski, Karol; Bengtsson, Ingemar
30
2004
Statistical properties of random density matrices. Zbl 1062.82005
Sommers, Hans-Jürgen; Życzkowski, Karo
19
2004
Quantum dynamical entropy and decoherence rate. Zbl 1054.81009
Alicki, Robert; Łoziński, Artur; Pakoński, Prot; Życzkowski, Karol
4
2004
Rényi extrapolation of Shannon entropy. Zbl 1030.94022
Życzkowski, Karol
25
2003
Hilbert-Schmidt volume of the set of mixed quantum states. Zbl 1052.81012
Życzkowski, Karol; Sommers, Hans-Jürgen
23
2003
Bures volume of the set of mixed quantum states. Zbl 1052.81028
Sommers, Hans-Jürgen; Życzkowski, Karol
20
2003
Random unistochastic matrices. Zbl 1038.15012
Życzkowski, Karol; Kuś, Marek; Słomczyński, Wojciech; Sommers, Hans-Jürgen
18
2003
Families of line-graphs and their quantization. Zbl 1019.05046
Pakoński, Prot; Tanner, Gregor; Życzkowski, Karol
9
2003
\(\mathbb{C} P^n\), or, entanglement illustrated. Zbl 1024.81004
Bengtsson, Ingemar; Brännlund, Johan; Życzkowski, Karol
5
2002
Relativity of pure states entanglement. Zbl 1038.81007
Życzkowski, Karol; Bengtsson, Ingemar
3
2002
Induced measures in the space of mixed quantum states. Zbl 1031.81011
Życzkowski, Karol; Sommers, Hans-Jürgen
69
2001
What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series. Zbl 0994.37008
Bollt, Erik M.; Stanford, Theodore; Lai, Ying-Cheng; Życzkowski, Karol
26
2001
The Monge metric on the sphere and geometry of quantum states. Zbl 1012.81009
Życzkowski, Karol; Słomczyński, Wojciech
12
2001
Classical 1D maps, quantum graphs and ensembles of unitary matrices. Zbl 0995.82040
Pakoński, Prot; Życzkowski, Karol; Kuś, Marek
10
2001
Rényi-Wehrl entropies as measures of localization in phase space. Zbl 0994.82008
Gnutzmann, Sven; Życzkowski, Karol
7
2001
Truncations of random unitary matrices. Zbl 0957.82017
Życzkowski, Karol; Sommers, Hans-Jürgen
42
2000
Entropy computing via integration over fractal measures. Zbl 0999.37055
Słomczyński, Wojciech; Kwapień, Jarosław; Życzkowski, Karol
13
2000
Invariant sets for discontinuous parabolic area-preserving torus maps. Zbl 0952.37007
Ashwin, Peter; Fu, Xin-Chu; Nishikawa, Takashi; Życzkowski, Karol
4
2000
On the entropy devil’s staircase in a family of gap-tent maps. Zbl 0983.37011
Życzkowski, Karol; Bollt, Erik M.
6
1999
Linear parabolic maps on the torus. Zbl 0934.37008
Życzkowski, Karol; Nishikawa, Takashi
3
1999
Composed ensembles of random unitary matrices. Zbl 0952.82014
Poźniak, Marcin; Życzkowski, Karol; Kuś, Marek
15
1998
The Monge distance between quantum states. Zbl 0954.81042
Życzkowski, Karol; Słomczyński, Wojeciech
7
1998
Coherent states measurement entropy. Zbl 0921.58061
Kwapień, Jarosław; Słomczyński, Wojciech; Życzkowski, Karol
3
1997
Secular determinants of random unitary matrices. Zbl 0899.15013
Haake, Fritz; Kuś, Marek; Sommers, Hans-Jürgen; Schomerus, Henning; Życzkowski, Karol
9
1996
Coherent states quantum entropy. Zbl 0989.82513
Życzkowski, Karol; Słomczyński, Wojciech
1
1995
Quantum chaos: An entropy approach. Zbl 0822.58032
Słomczyński, Wojciech; Życzkowski, Karol
11
1994
all top 5

Cited by 1,361 Authors

40 Życzkowski, Karol
24 Nechita, Ion
19 Rastëgin, Alekseĭ Èduardovich
17 Li, Chi-Kwong
14 Fei, Shaoming
14 Puchała, Zbigniew
12 Poon, Yiu-Tung
12 Slater, Paul B.
12 Sze, Nung-Sing
11 Collins, Benoît
11 Nakazato, Hiroshi
10 Chien, Mao-Ting
9 Forrester, Peter J.
9 Gawron, Piotr
9 Kribs, David W.
8 Akemann, Gernot
8 Bengtsson, Ingemar
8 Bollt, Erik M.
8 Marmo, Giuseppe
8 Skowronek, Łukasz
8 Tao, Yuanhong
8 Weis, Stephan
7 Banica, Teodor
7 De Vos, Alexis
7 Fukuda, Motohisa
7 Giovannetti, Vittorio
7 Hou, Jinchuan
7 Kuzmak, Andrij R.
7 Miszczak, Jaroslaw Adam
6 Chruściński, Dariusz
6 De Baerdemacker, Stijn
6 Dunkl, Charles F.
6 Gau, Hwa-Long
6 Matolcsi, Máté
6 Szöllősi, Ferenc
6 Toigo, Alessandro
6 Weiner, Mihály
5 Benatti, Fabio
5 Englert, Berthold-Georg
5 Holik, Federico
5 Islam, Mohammad Shafiqul
5 Johnston, Nathaniel
5 Khvedelidze, Arsen Morisovich
5 Kossakowski, Andrzej
5 Kuś, Marek
5 Lamberti, Pedro W.
5 Lau, Pan-Shun
5 Majumdar, Satya N.
5 Müller-Hermes, Alexander
5 Nicoara, Remus
5 Pawela, Łukasz
5 Pereira, Rajesh
5 Petz, Dénes
5 Portesi, Mariela
5 Słomczyński, Wojciech
5 Strahov, Eugene
5 Tadej, Wojciech
4 Bebiano, Natália Isabel Quadros
4 Cappellini, Valerio
4 Carmeli, Claudio
4 Chen, Bin
4 Choda, Marie
4 Ciaglia, Florio Maria
4 Dehghani, Alireza
4 Fannes, Mark
4 Fu, Xinchu
4 Holbrook, John A. R.
4 Horodecki, Michał
4 Jiang, Tiefeng
4 Li-Jost, Xianqing
4 Mancini, Stefano
4 Mann, Ady
4 Młotkowski, Wojciech
4 Mojaveri, Bashir
4 Müller, Markus P.
4 Myers, Robert C.
4 Nan, Hua
4 Sommers, Hans-Jürgen
4 Spitkovsky, Ilya Matvey
4 Størmer, Erling
4 Wang, Kuo-Zhong
4 Wu, Peiyuan
4 Zhang, Lin
3 Aerts, Diederik Emiel
3 Altafini, Claudio
3 Aubrun, Guillaume
3 Aurell, Erik
3 Berkolaiko, Gregory
3 Bhatia, Rajendra
3 Bondal, Alexey I.
3 Bosyk, Gustavo Martin
3 Brádler, Kamil
3 Brukner, Časlav
3 Bruzda, Wojciech T.
3 Chappell, David J.
3 Chiribella, Giulio
3 Chryssomalakos, Chryssomalis
3 Cong, Shuang
3 da Providência Santarém e Costa, João
3 Dajka, Jerzy
...and 1,261 more Authors
all top 5

Cited in 171 Serials

96 Journal of Mathematical Physics
68 Quantum Information Processing
64 Linear Algebra and its Applications
39 New Journal of Physics
35 Open Systems & Information Dynamics
35 Journal of Physics A: Mathematical and Theoretical
31 International Journal of Theoretical Physics
27 Communications in Mathematical Physics
27 International Journal of Quantum Information
26 Linear and Multilinear Algebra
24 Physics Letters. A
23 Journal of High Energy Physics
18 Reports on Mathematical Physics
16 Journal of Statistical Physics
16 Annals of Physics
14 Random Matrices: Theory and Applications
13 Journal of Geometry and Physics
13 Chaos
12 Foundations of Physics
9 Proceedings of the American Mathematical Society
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Journal of Mathematical Sciences (New York)
9 Physical Review A, Third Series
8 Journal of Mathematical Analysis and Applications
8 Physica D
7 Reviews in Mathematical Physics
7 Journal of Functional Analysis
6 Modern Physics Letters A
6 Physical Review Letters
6 Journal of Statistical Mechanics: Theory and Experiment
6 Cryptography and Communications
5 Discrete Mathematics
5 Letters in Mathematical Physics
5 Physica A
5 Journal of Multivariate Analysis
5 International Journal of Mathematics
5 Communications in Theoretical Physics
4 Chaos, Solitons and Fractals
4 Applied Mathematics and Computation
4 Probability Theory and Related Fields
4 Journal of Theoretical Probability
4 Lobachevskii Journal of Mathematics
4 Entropy
4 International Journal of Geometric Methods in Modern Physics
4 Advances in Mathematical Physics
4 Quantum Studies: Mathematics and Foundations
3 International Journal of Modern Physics B
3 Nuclear Physics. B
3 Rocky Mountain Journal of Mathematics
3 The Annals of Probability
3 Kybernetika
3 European Journal of Combinatorics
3 Mathematical Social Sciences
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Annales Henri Poincaré
3 International Journal of Modern Physics C
3 Annalen der Physik
3 SIAM Journal on Applied Algebra and Geometry
2 Computer Physics Communications
2 Discrete Applied Mathematics
2 General Relativity and Gravitation
2 Journal of Computational Physics
2 Physics Reports
2 Reviews of Modern Physics
2 Mathematics of Computation
2 Automatica
2 Journal of Number Theory
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 Constructive Approximation
2 The Annals of Applied Probability
2 Designs, Codes and Cryptography
2 Bulletin of the American Mathematical Society. New Series
2 Annales Mathématiques Blaise Pascal
2 Journal of Convex Analysis
2 Electronic Communications in Probability
2 The Journal of Fourier Analysis and Applications
2 Nonlinear Dynamics
2 Soft Computing
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Systems Science and Complexity
2 Stochastics
2 Mathematics in Computer Science
2 Mathematics
2 Special Matrices
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Advances in Operator Theory
1 International Journal of Modern Physics A
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Nonlinearity
1 Physics Letters. B
1 Problems of Information Transmission
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Wave Motion
1 The Mathematical Intelligencer
1 Colloquium Mathematicum
...and 71 more Serials
all top 5

Cited in 58 Fields

618 Quantum theory (81-XX)
241 Linear and multilinear algebra; matrix theory (15-XX)
158 Information and communication theory, circuits (94-XX)
99 Probability theory and stochastic processes (60-XX)
96 Operator theory (47-XX)
86 Functional analysis (46-XX)
64 Statistical mechanics, structure of matter (82-XX)
61 Combinatorics (05-XX)
56 Dynamical systems and ergodic theory (37-XX)
56 Statistics (62-XX)
30 Differential geometry (53-XX)
29 Numerical analysis (65-XX)
28 Computer science (68-XX)
21 Number theory (11-XX)
21 Relativity and gravitational theory (83-XX)
20 Special functions (33-XX)
20 Convex and discrete geometry (52-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Geometry (51-XX)
13 Algebraic geometry (14-XX)
12 Topological groups, Lie groups (22-XX)
12 Operations research, mathematical programming (90-XX)
11 Measure and integration (28-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Systems theory; control (93-XX)
10 Partial differential equations (35-XX)
9 Nonassociative rings and algebras (17-XX)
9 Mechanics of particles and systems (70-XX)
8 Integral transforms, operational calculus (44-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Associative rings and algebras (16-XX)
7 Group theory and generalizations (20-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Ordinary differential equations (34-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Mathematical logic and foundations (03-XX)
5 Functions of a complex variable (30-XX)
5 Optics, electromagnetic theory (78-XX)
4 Commutative algebra (13-XX)
4 Real functions (26-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Difference and functional equations (39-XX)
4 Abstract harmonic analysis (43-XX)
4 Manifolds and cell complexes (57-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Approximations and expansions (41-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
3 Fluid mechanics (76-XX)
2 History and biography (01-XX)
2 Category theory; homological algebra (18-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)

Citations by Year

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