Karol Życzkowski
scientific publications
(reverse chronological order - updated December 7,
2020)
Quantum Chaos
Foundations of
Quantum Theory
Quantum Measurement &
Entropy
Entanglement & Geometry of
Quantum States
Theory of Quantum
Information
Dynamical Systems
& Fractals
Quantum Billiards & Wave
Chaos
Random Matrices
Chaotic Scattering and
statistical physics
Conductivity in Disordered Media
Quantum Optics
Mathematical
theory of social choice
Financial Mathematics
some other Mathematics
Scientometrics
full list
of publications and list of co-authors
The copyright for the PDF/PS files
attached is owned by the publishers: American Institute of
Physics, Elsevier Science, Institute of Physics
Publishing, Plenum Publishing Corporation, The American Physical
Society, Springer Verlag, World Scientific and other
publishers
Quantum chaos
- S. Denisov, T. Laptyeva, W. Tarnowski, D. Chruściński and K.
Życzkowski, pdf "Universal
spectra of random Lindblad operators", supplement Phys.
Rev. Lett. 123, 140403 (2019); [arXiv:1811.12282]
- W. Roga, M. Smaczynski and K. Życzkowski, pdf
"Composition of quantum operations and products of random
matrices", Acta Phys. Pol. B
42, 1123-1140 (2011), [arxiv:1105.3830]
- W. Bruzda, M Smaczynski, V. Cappellini, H.-J. Sommers and K.
Zyczkowski, pdf "Universality
of
spectra
for
interacting
quantum
chaotic systems", Phys. Rev. E
81, 066209 (2010), [arxiv:1003.2931]
- A. Lozinski, K. Zyczkowski and W. Slomczynski, pdf
"Quantum Iterated Function Systems", Phys.
Rev. E 68, 046110 (2003) [quant-ph/0210029]
- A. Ostruszka, Ch. Manderfeld, K. Zyczkowski, and F.
Haake, pdf
"Quantization of Classical Maps with tunable Ruelle-Pollicott
Resonances", Phys. Rev. E 68, 056201
(2003) [nlin.CD/0301041]
- P. Pakonski, G. Tanner, K. Zyczkowski, pdf
"Families of line-graphs and their quantization",
J. Stat. Phys 111, 1331-1352
(2003) [nlin.CD/0110043]
- A. Lozinski, P. Pakonski, and K. Zyczkowski, pdf
"Irreversible Quantum Baker Map", Phys. Rev. E
66, 065201(R4) (2002). [quant-ph/0202153]
- P. Pakonski, K. Zyczkowski, M.
Kuś, pdf
"Classical
1D
maps,
quantum
graphs and ensembles of unitary matrices", J. Phys.
A 34, 9303-9317 (2001) [nlin.CD/0011050]
- P. Braun, S. Gnutzmann, F.Haake,
M. Kus and K. Zyczkowski, pdf
"Level Dynamics and Universality of Spectral
Fluctuations", Found. Phys. 31, 613-622
(2001) [nlin.CD/0006022]
- P. Pakonski, A. Ostruszka and K. Zyczkowski, pdf
"Quantum baker map on the sphere", Nonlinearity
12, 269 - 284 (1999), [chao-dyn/9805020]
- D.Braun,
M.Kus, and K. Zyczkowski, pdf
"Time-reversal symmetry and random polynomials", J.Phys.
A30, L117 (1997), [chao-dyn/9611003]
- P.Gerwinski,
F.Haake,
H.Wiedemann, M.
Kuś and K.Zyczkowski, pdf
"Semiclassical Spectra without Periodic Orbits for a Kicked
Top"; Phys.Rev.Lett. 74, 1562 (1995)
- K.Zyczkowski, H.Wiedemann and W.Slomczynski, pdf
"How to generalize Lapunov exponent for quantum mechanics";
Vistas in Astronomy 37, 153-156 (1993)
- G.Lenz and K. Zyczkowski, pdf
"Time reversal symmetry breaking and the statistical
properties of quantum systems"; J.Phys.
A25, 5539-5551 (1992)
- F.Haake,
H.Wiedemann and K.Zyczkowski, pdf
"Lapunov exponent for quantum mechanics"; Ann. Physik
1, 531-539 (1992)
- M.
Kuś and K.Zyczkowski, pdf
"Relative randomness of quantum observables"; Phys.Rev.
A44, 956-959 (1991)
- M.Kus, J.Zakrzewski
and K.Zyczkowski, pdf "Quantum
scars on a sphere"; Phys.Rev. A43,
4244-4248 (1991)
- K. Zyczkowski, pdf "Indicators
of quantum chaos based on eigenvector statistics"; J.Phys.
A23, 4427-4438, (1990)
- K. Zyczkowski, pdf "Squeezed
states
in a quantum chaotic system"; J.Phys
A22, L1147-L1151 (1989)
- K Zyczkowski and J.Zakrzewski ,
pdf
"Modulated kicks approximation in non-integrable classical
and quantum systems", J.
Phys.
A 21, L371-L376 (1988).
- K. Zyczkowski,
pdf "Quantum chaotic system in generalised
Husimi representation"; Phys. Rev. A35,
3546-49 (1987)
Foundations of
Quantum Theory
- D. Goyeneche, W. Bruzda, O. Turek, D. Alsina, K.
Życzkowski, "The powerfulness of classical correlations",
preprint [arXiv:2004.00695]
- D. Alsina, A. Cervera, D. Goyeneche, J. I. Latorre and K.
Życzkowski, pdf
"Operational
approach to Bell inequalities: applications to qutrits",
Phys. Rev. A94
, 032102 (2016), preprint [arXiv:1606.01991]
- T. Durt, I. Bengtsson, B.-G. Englert and K.
Życzkowski, pdf
"On mutually unbiased bases", J.Int. J. Quant.
Inform. 8, 535-640 (2010), [arxiv:1004.3348]
- K. Zyczkowski, pdf
"Quartic quantum theory: an extension of the standard
quantum mechanics", J.Phys. A41,
0355302-23p (2008); [quant-ph/0804.1247]
Quantum Measurement & Entropy
- J. Czartowski, D. Goyeneche, M. Grassl, K.
Życzkowski, pdf
"Iso-entangled mutually
unbiased bases, symmetric quantum measurements and
mixed-state designs", Phys.
Rev. Lett. 124, 090503 (2020); [arXiv:1906.12291]
- K. Szymański and K. Życzkowski, pdf
"Geometric
and algebraic origins of additive uncertainty
relations", J.Phys.
A 53,
015302 (2020); [arXiv:1804.06191]
- J. Czartowski, D. Braun, K. Życzkowski, pdf
"Trade--off relations for
operation entropy of complementary quantum channels",
IJ Quant. Inform. 17,
1950046--23p (2019); [arXiv:1908.03492]
- J. Czartowski, D. Goyeneche and K. Życzkowski, pdf
"Entanglement properties of
multipartite informationally complete quantum
measurements", J.Phys. A51,
305302-15 (2018), [arXiv:1801.07927]
- Z. Puchała, Ł. Rudnicki, A. Krawiec and K. Życzkowski,
pdf
"Majorization uncertainty relations for mixed quantum
states", J.Phys. A 51,
175306 (2018); [arXiv:1709.10294]
- W. Bruzda, D. Goyeneche and K. Życzkowski, pdf
Quantum measurements with
prescribed symmetry, Phys. Rev. A 96,
022105 (2017), [arXiv:1704.04609]
- A.E.Rastegin and K. Życzkowski, pdf
"Majorization entropic uncertainty relations for quantum
operations", J.Phys. A 49,
355301 (2016); [arxiv:1511.07099]
- R. Adamczak, R. Latała, Z. Puchała and K. Życzkowski, pdf
"Asymptotic entropic uncertainty relations",
J. Math. Phys. 57, 032204 (2016); [arXiv:1412.7065]
- Z. Puchala, L. Rudnicki, K. Chabuda, M. Paraniak and K.
Zyczkowski, pdf
"Certainty relations,
mutual entanglement and non-displacable manifolds", Phys.
Rev. A 92, 032109 (2015), [arXiv:1506.07709]
- L. Rudnicki, Z. Puchala and K. Zyczkowski, pdf
"Strong majorization entropic uncertainty relations",
Phys. Rev. A 89, 052115 (2014),
[arXiv:
1402.0129]
- Z. Puchala, L. Rudnicki and K. Zyczkowski, pdf
"Majorization entropic uncertainty relations",
J.Phys. A 46, 272002-12pp (2013); [arxiv:1304.7755]
- W. Roga, Z. Puchala, L. Rudnicki and K. Zyczkowski, pdf
"Entropic trade-off
relations for quantum operations", Phys.
Rev. A 87, 032308-13pp (2013);[arxiv:1206.2536]
- W. Roga, K. Zyczkowski and M.
Fannes, pdf "Entropic
characterization
of quantum operations", Int. J. Quantum
Information 9, 1031-1045 (2011), [arxiv:1101.4105]
- W. Roga, M.
Fannes and K. Zyczkowski, pdf
"Composition of quantum states and dynamical
subadditivity", J. Phys. A 41,
035305-15p (2008);
[quant-ph/0706.2791]
- J. Emerson,
R. Alicki and K. Zyczkowski, pdf
"Scalable
Noise
Estimation
with
Random
Unitary Operators"; J. Opt. B 7,
S347-S352 (2005); [quant-ph/0503243]
- R. Alicki, A. Lozinski, P. Pakoński and K.
Zyczkowski, pdf
"Quantum
dynamical
entropy
and
decoherence rate"; J.Phys. A37,
5157-5172 (2004); [quant-ph/0309194]
- F.
Mintert and K. Zyczkowski, pdf
"Wehrl
entropy,
Lieb
conjecture
and
entanglement monotones"; Phys. Rev. A69,
022317 (2004); [quant-ph/0307169]
- K. Zyczkowski, pdf "Renyi
extrapolation of Shannon entropy"; Open Syst.
Inf. Dyn. 10, 297-310 (2003); [quant-ph/0305062],
with 2005 corrigendum
- S. Gnutzmann and K. Zyczkowski, pdf,
"Renyi-Wehrl entropies as measures of localization in phase
space", J. Phys. A 34, 10123-10139
(2001), [quant-ph/0106016]
- K. Zyczkowski, "Localization of eigenstates and mean Wehrl
entropy", pdf Physica
E 9, 583-590 (2001), [quant-ph/9910088]
- W. Slomczynski and K. Zyczkowski, pdf
"Mean
dynamical
entropy
of
quantum
maps on the sphere diverges in the semiclassical limit";
Phys. Rev. Lett. 80, 1880-1883 (1998); [chao-dyn/9707008]
- J. Kwapień, W.Slomczynski, and K. Zyczkowski, pdf
"Coherent states measurement entropy", J.Phys
A30, 3175-3200 (1997), [chao-dyn/9604010]
- K. Zyczkowski and W.Slomczyński, pdf
"Exponentional
decay
of
relative
entropies
to the Kolmogorov - Sinai entropy for standard map";
Phys. Rev. E 52, 6879 (1995)
- W.Slomczyński and K.Zyczkowski, pdf
"Quantum chaos: an entropy approach"; J.
Math. Phys 35, 5674 (1994)
Entanglement & Geometry of Quantum States
- G. M. Quinta, R. Andre, A. Burchardt, and K. Życzkowski, pdf
"Cut-resistant
links and multipartite entanglement resistant to particle loss",
Phys. Rev. A
100, 062329 (2019), [arXiv:1908.10390]
- J. Czartowski, K. Szymański, B. Gardas, Y. Fyodorov and K.
Życzkowski, pdf "Separability gap
and large-deviation entanglement criterion",
Phys. Rev. A
100, 042326 (2019), [arXiv:1812.09251]
- W. Kłobus, A. Burchardt, A. Kołodziejski, M. Pandit, T.
Vertesi, K. Życzkowski and W. Laskowski, pdf
"On
k-uniform mixed states", Phys.
Rev. A 100,
032112 (2019), [arXiv:1906.01311]
- M. Enriquez, F. Delgado and K. Życzkowski, pdf
"Entanglement
of three-qubit random pure states", Entropy
20, 745 (2018), [arxiv:1809.00642]
- G. Rajchel, A. Gąsiorowski and K. Zyczkowski, pdf
"Robust
Hadamard matrices, unistochastic rays in Birkhoff polytope
and
equi-entangled bases in composite spaces",
Math. Comput.Sci. 12,
473-490 (2018), [arXiv:1804.10715]
- L. Saveso, D. Goyeneche and K. Życzkowski, pdf
"Coarse-grained
entanglement classification through orthogonal arrays",
J. Math. Phys.59,
072203 (2018), [arXiv:1709.05916]
- D. Goyeneche, Z. Raissi, S. Di Martino and K.
Zyczkowski, pdf "Entanglement and
quantum combinatorial designs",
Phys. Rev. A 97
, 062326-12 (2018), [arXiv:1708.05946]
- D. Goyeneche, J. Bielawski and K. Zyczkowski, pdf
"Multipartite
entanglement in heterogeneous systems", Phys. Rev. A94 , 012346
(2016), [arXiv:1602.08064]
- M. Enriquez, Z. Puchala and K. Zyczkowski, pdf
"Minimal
Renyi-Ingarden-Urbanik entropy of multipartite quantum states", Entropy
17, 5063-5084
(2015), [arXiv:1506.04788]
- K. Bartkiewicz, P. Horodecki, K. Lemr, A. Miranowicz and K.
Zyczkowski, pdf "Method for universal
detection of two-photon polarization entanglement", Phys.
Rev. A 91, 032315 (2015), [arXiv:1405.5560]
- D. Goyeneche and K. Zyczkowski, pdf "Genuinely multipartite
entangled states and orthogonal arrays", Phys.
Rev. A 90, 022316 (2014), [arXiv:1404.3586]
- L. Rudnicki, Z. Puchala, P. Horodecki, and K.
Zyczkowski, pdf "A Natural Entanglement
Test",
J. Phys. A 47, 424035 (2014), [arXiv:1211.2306]
- B. Collins, I. Nechita and K. Zyczkowski, pdf
" Area law for random graph
states", J.
Phys. A 46, 305302 (2013), [arXiv:1302.0709]
- L. Rudnicki, Z. Puchala, P. Horodecki, and K.
Zyczkowski, pdf "Collectibility
for Mixed Quantum States",
Phys. Rev. A 86, 062329 (2012), [arXiv:1211.0573]
- Z. Puchala, J.A. Miszczak, P. Gawron, C.F. Dunkl,
J. A. Holbrook, K. Zyczkowski, pdf "Restricted
numerical
shadow and geometry of quantum entanglement", [arXiv:1201.2524]
- I. Bentgsson, S. Weis and K. Zyczkowski, pdf
"Geometry of the set
of mixed quantum states: An apophatic approach", [arXiv:1112.2347],
published in XXIX Workshop on Geometric
Methods in Physics, Trends in Mathematics, pp.
175-197, ed P. Kielanowski et al. Springer, Basel 2013
- W. Ganczarek, M. Kus and K. Zyczkowski,pdf
"Barycentric measure
of quantum entanglement",
Phys. Rev. A 85, 032314 (2012)
[arXiv:1112.0437]
- L. Rudnicki, P. Horodecki, and K. Zyczkowski, pdf
"Collective
Uncertainty Entanglement Test",
Phys. Rev. Lett. 107, 150502 (2011),
[arXiv:1106.2018]
- S. Szarek,
E. Werner, and K. Zyczkowski, pdf "How often is a random
quantum state k-entangled?"
J. Phys. A 44, 045303 (2011),
[arXiv:1010.1485]
- L Skowronek and K. Zyczkowski, pdf
"Positive maps, positive
polynomials and entanglement witnesses", J. Phys. A
42, 325302 (2009) 14pp, [quant-ph/0903.3042]
- L Skowronek, E. Stormer and K. Zyczkowski, pdf "Cones of positive maps and their
duality relations", J. Math. Phys.
50, 062106 (2009) 18pp, [quant-ph/0902.4877]
- S. Szarek,
E. Werner, and K. Zyczkowski, pdf
"Geometry of sets of
quantum maps: a generic positive map acting on a
high-dimensional system is not completely positive",
J. Math. Phys 49, 032113 (2008)
21pp, [arXiv:0710.1571]
- V. Cappellini, H.--J. Sommers, and K. Zyczkowski, pdf
"Subnormalized states and trace-non-increasing
maps", J. Math. Phys 48,
052110 (2007) [quant-ph/0701143]
- V. Cappellini, H.--J. Sommers, and K. Zyczkowski, pdf
"Distribution of G-concurrence of random pure states",
Phys. Rev. A 74, 062322 (2006) [quant-ph/0605251]
- S. Szarek,
I. Bengtsson
and K. Zyczkowski pdf
"On the structure of the body of states with positive partial
transpose", J. Phys. A 39,
L119-L126 (2006), [quant-ph/0509008]
- H.--J. Sommers, and K. Zyczkowski, pdf,
"Bures volume of the set of mixed quantum states", J.
Phys. A 36, 10083-10100 (2003),
[quant-ph/0304041]
- K. Zyczkowski and H.--J. Sommers, pdf,
"Hilbert--Schmidt volume of the set of mixed quantum
states", J. Phys. A 36, 10115-10130
(2003), [quant-ph/0302197]
- A. Łozinski, A. Buchleitner,
K. Zyczkowski, and T. Wellens,
pdf,
"Entanglement
of
2
x
3 quantum systems", Europhys. Lett. 62,
168-174
(2003), [quant-ph/0302144]
- V.M. Kendon,
K. Zyczkowski, and W.J.
Munro, pdf, "Bounds on
entanglement in qudit subsystems", Phys. Rev. A
66, 062310 (2002), [quant-ph/0203037]
- M. Sinołęcka, K. Zyczkowski and M. Kuś, pdf,
"Manifolds of equal entanglement for composite quantum
systems", Acta Phys. Pol. B 33,
2081-2095 (2002), [quant-ph/0110082]
- I. Bengtsson,
J. Braennlund and K. Zyczkowski pdf
"CPn, or, entanglement illustrated", Int.
J. Mod. Phys. A17, 4675-4696 (2002)
[quant-ph/0108064]
- K. Zyczkowski, I.
Bengtsson, pdf
"Relativity of pure states entanglement", Ann. Phys.
(N.Y.) 295, 115-135 (2002), [quant-ph/0103027]
- K. Zyczkowski, P.
Horodecki, M. Horodecki, and R. Horodecki, pdf,
Dynamics of quantum entanglement", Phys. Rev. A
65, 012101 (2002), [quant-ph/0008115]
- K. Zyczkowski and W. Slomczynski, pdf
"Monge
Metric
on
the
Sphere
and Geometry of Quantum States", J. Phys.
A 34, 6689-6722 (2001) [quant-ph/0008016]
- M.
Kuś, and K. Zyczkowski, pdf
"Geometry of entangled states", Phys. Rev. A63,
032307 (2001); [quant-ph/0006068]
- K. Zyczkowski, pdf
"Volume
of
the
set
of separable states II"; Phys. Rev. A60,
3496-3507 (1999); [quant-ph/9902050]
.
- K. Zyczkowski and W.Slomczynski, pdf
"Monge distance between quantum states", J.Phys.A
31, 9095-9104 (1998), [quant-ph/9711011]
- K. Zyczkowski, P.
Horodecki, A. Sanpera and M.Lwenstein,
pdf
"Volume
of
the
set
of separable states"; Phys.
Rev A 58, 883 (1998)
[quant-ph/9804024],
Theory of Quantum
Information
- E.M. Bollt,
P. Gora
A. Ostruszka and K. Zyczkowski, pdf
"Basis Markov Partitions and Transition Matrices for
Stochastic Systems", SIAM
Journal on Applied Dynamical Systems 7, 341-360 (2008).
[nlin.CD/0605017]
- D. Wojcik and K. Zyczkowski; "Fractality
of certain quantum states", [math-ph/0107030]
- A. Ostruszka and K. Zyczkowski; pdf,
"Spectrum of the Frobenius-Perron operator for systems with
stochastic perturbation", Phys. Lett.
A 289, 306-312 (2001), [nlin.CD/0106003]
- E.M.
Bollt, T. Stanford, Y.-C. Lai, and K.
Zyczkowski, pdf
"What
Symbolic
Dynamics
Do
We Get With A Misplaced Partition? On the Validity of
Threshold Crossings Analysis of Chaotic Time-Series" Physica
D 154, 259-286 (2001)
- D. Wojcik,
I. Bialynicki-Birula
and K. Zyczkowski, pdf "Time
Evolution of Quantum Fractals", Phys. Rev. Lett.
85, 5022-5025 (2000), [quant-ph/0005060]
- E.M. Bollt,
T. Stanford, Y.-C. Lai, and K. Zyczkowski, pdf
"Validity of threshold-crossing analysis of symbolic dynamics
from chaotic time series", Phys. Rev. Lett.
85, 3524-3527 (2000), [nlin.CD/0005040]
- K Zyczkowski and Y-C. Lai; pdf
"Devil-staircase
behaviour
of
dynamical
invariants
in chaotic scattering", Physica D 142,
197-216 (2000).
- P.Ashwin,
X.-C. Fu,
T. Nishikawa, and K. Zyczkowski, pdf
"Invariant
sets
for
discontinuous
parabolic
area-preserving torus maps" Nonlinearity, 13,
819-835 (2000) [chao-dyn/9908017]
.
- A. Ostruszka, P. Pakonski, W. Slomczynski, K.
Zyczkowski; pdf
"Dynamical
entropy
for
systems
with stochastic perturbation"; Phys.Rev.
E 62, 2018-2029 (2000). [chao-dyn/9905041]
- T. Kapitaniak, K. Zyczkowski, U. Feudel and C. Grebogi;
pdf "Analog
to Digital Conversion in Physical Measurements";
Chaos, Solitons & Fractals 11, 1247-1251
(2000), [chao-dyn/9901028]
- W.Slomczynski, J. Kwapien and K. Zyczkowski; pdf
"Entropy computing via integration over fractal measures", CHAOS
10, 180-188 (2000);[chao-dyn/9804006]
- K. Zyczkowski and E.M. Bollt;
pdf
"On the entropy devil's staircase for the family of gap tent
maps" Physica D 132, 393-411 (1999),
[chao-dyn/9807013]
- K. Zyczkowski and T. Nishikawa; pdf
Linear parabolic maps on the torus", Phys. Lett. A259,
377-386 (1999), [chao-dyn/9903017]
- Y-C. Lai, K Zyczkowski and C. Grebogi; pdf
"Universal
behavior
in
the
parametric
evolution of chaotic saddles", Phys.Rev.
E 59, 5261-5265 (1999).
Quantum Billiards & Wave Chaos
- O. Hul, S. Bauch, P. Pakonski, N. Savytskyy,
K. Zyczkowski, and L. Sirko, pdf
"Experimental
simulation
of
quantum
graphs
by microwave networks", Phys. Rev. E69,
056205 (2004) [nlin.CD/0404006]
- A.Shudo, Y.Shimizu, P. Seba, J.Stein, H.-J.Stoeckmann and
K.Zyczkowski, pdf
"Statistical
properties
of
spectra
of pseudointegrable systems", Phys. Rev. E49,
3748-3756 (1994)
- K. Zyczkowski, pdf "Classical
and quantum billiards: integrable, nonintegrable and
pseudo-integrable"; Acta Phys. Pol. B23,
245-270 (1992)
- F.Haake,
G. Lenz, P. Seba, J.Stein, H-J.Stoeckmann and K.Zyczkowski, pdf
"Manifestation of wave chaos in pseudointegrable microwave
resonators"; Phys.Rev. A44, R6161-R6164
(1991)
- P. Seba and K. Zyczkowski, pdf
"Wave
chaos
in
classically
non
chaotic system"; Phys. Rev. A44, 3457-3465
(1991)
Random matrices
- I. Nechita, Z. Puchała, Ł.Pawela, K. Życzkowski, pdf
Almost all quantum channels are equidistant, J.
Math. Phys. 59, 052201 (2018),
preprint [arXiv:1612.00401]
- M. Markiewicz, Z. Puchała, A. de Rosier, W. Laskowski, K.
Życzkowski, pdf Quantum noise generated by local
random Hamiltonians, Phys.
Rev. A 95,
032333 (2017) [arXiv:1612.07826]
- Z. Puchala, Ł. Pawela and K. Zyczkowski, pdf "Distinguishability
of generic quantum states", Phys. Rev. A
93, 061221 (2016), [arXiv:1507.05123]
- M. Mlotkowski, M. A. Nowak, K. A. Penson and K. Zyczkowski, pdf "Spectral
density of generalized Wishart matrices and free
multiplicative convolution", Phys. Rev. E87,
022121 (12pp) (2015) [arXiv:1407.1282]
- P. Kondratiuk and K. Zyczkowski, pdf "Random
unitary matrices associated to a graph", Acta.
Phys. Pol. A 124, 1098
(2013), [arXiv:1311.3585]
- M. Musz , M. Kus, and K. Zyczkowski, pdf "Unitary
quantum gates, perfect entanglers, and unistochastic maps",
Phys. Rev. A87, 022111(12pp) (2013) [arXiv:1211.3287]
- S. Braunstein, S. Pirandola and K. Zyczkowski, pdf "Better Late
than Never: Information Retrieval from Black Holes",
Phys. Rev. Lett. 110, 101301
(2013)
- M.Smaczynski, T. Tkocz, M. Kus, and K.
Zyczkowski,
pdf "Extremal
spacings of random unitary matrices", Phys.
Rev. E 88, 052902 (2013) [arXiv:1204.3023]
- T. Tkocz, M. Smaczynski, M. Kus, O. Zeituni and K. Zyczkowski,
pdf "Tensor
products of random unitary matrices", Random
Matrices: Theory and Applications 1, 1250009
(26 pp) (2012) [arXiv:1203.3818]
- J. Fischmann, W. Bruzda, B. A. Khoruzhenko, H.-J. Sommers and
K.Zyczkowski, pdf "Induced
Ginibre
ensemble of random matrices and quantum
operations, J. Phys. A
45, 075203 (2012) [arXiv:1107.5019]
- K. Zyczkowski, K. A. Penson, I. Nechita and B. Collins,
pdf "
Generating random density matrices", J. Math.
Phys. 52, 062201 (2011) [arXiv:1010.3570]
- K. A. Penson and K. Zyczkowski, pdf
"Product of Ginibre matrices:
Fuss-Catalan and Raney distribution", Phys.
Rev. E 83, 061118 (2011) [arXiv:1103.3453]
- B. A. Khoruzhenko, H.--J. Sommers, and K.
Zyczkowski, pdf "Truncations
of
Random Orthogonal Matrices",
Phys. Rev. E 82, 040106(R) (2010) [arXiv:1008.2075]
- B. Collins, I. Nechita and K. Zyczkowski, pdf
"Random graph states, maximal
flow and Fuss-Catalan distributions", J. Phys. A
43, 275303 (2010) 39pp, [arXiv:1003.3075]
- V.Al. Osipov, H.--J. Sommers, and K. Zyczkowski, pdf
"Random Bures mixed states and the distribution of their
purity", J. Phys. A 43, 055302
(2010) 22pp, [arXiv:0909.5094]
- W. Bruzda, V. Cappellini, H.--J. Sommers, and K. Zyczkowski, pdf
"Random Quantum Operations", Phys. Lett.
A 373, 320-324 (2009) [arXiv:0804.2361]
- V. Cappellini, H.--J. Sommers, W. Bruzda, and K.
Zyczkowski, pdf "Random bistochastic matrices",
J. Phys. A 42, 365209 (2009) 23pp,
[arXiv:07011.3345]
- H.--J. Sommers and K. Zyczkowski pdf
"Statistical properties of random density matrices",
J. Phys. A37 8457-8466 (2004),
[quant-ph/0405031]
- K. Zyczkowski, M. Kus, W. Slomczynski and H.-J.
Sommers, pdf
"Random unistochastic matrices", J. Phys.
A36 3425-3450 (2003), [nlin.CD/0112036]
- K. Zyczkowski and H.-J. Sommers, pdf
"Induced
measures
in
the
space
of mixed quantum states", J. Phys.
A 34, 7111-7125 (2001) [quant-ph/0012101]
- K. Zyczkowski and H.-J. Sommers, pdf
"Truncations
of
random
unitary
matrices;
J. Phys. A33, 2045-2057 (2000); [chao-dyn/9910032]
- M. Pozniak, K. Zyczkowski, and M. Kus, pdf
"Composed
ensembles
of
random
unitary
matrices"; J.Phys.A
31, 1059-1071 (1998), [chao-dyn/9707006]
- P. Kunstman, K. Zyczkowski, and J. Zakrzewski, pdf
"Nonuniversality of level dynamics", Phys.
Rev.
E55,
2446-2454 (1997), [chao-dyn/9611019]
- F.
Haake, M. Kus, H.--J. Sommers, H.Schomerus,
and K. Zyczkowski, pdf
"Secular
determinants
of
random
unitary matrices", J.
Phys.
A 29, 3641-3658 (1996), [chao-dyn/9603006]
- K. Zyczkowski and M. Kus, pdf "Interpolating
ensembles of random unitary matrices"; Phys.
Rev. E 53, 319 (1996)
- F. Izrailev, L. Molinari, and K. Zyczkowski, pdf
"Periodic and non-periodic band random
matrices: structure of eigenstates", J.Physique
I (France) 6, 455 (1996)
- K. Zyczkowski and R.Serwicki, pdf
"Scaling laws of complex band random matrices"; Z.
Phys. B 99, 449-455 (1996)
- K. Zyczkowski, pdf "Random
matrices of circular symplectic ensemble"; in Chaos -
The Interplay between Stochastic and Deterministic Behaviour,
Proceedings, Karpacz, Poland 1995, ed. P. Garbaczewski,
M.Wolf and A.Weron, Springer 1995, pp 565-571.
- K. Zyczkowski and M. Kus, pdf
"Random unitary matrices"; J.Phys.
A 27, 4235-4245 (1994)
- K. Zyczkowski, pdf "Relatively
random unitary operators"; Operator Theory: Advances
& Applications 70 277-280 (1994)
- K. Zyczkowski, pdf "Parametric
dynamics of quantum systems and transitions between ensembles
of random matrices"; Acta Phys. Pol. B24,
967-1025 (1993)
- K. Zyczkowski, M. Lewenstein, M. Kus and F. Izrailev, pdf
"Eigenvectors
statistics
of
random
band
matrices"; Phys.Rev. A45, 811-815 (1992)
- G.Lenz, K. Zyczkowski and D. Saher, pdf
"Scaling
laws
of
additive
random-matrix
model"; Phys.Rev. A44, 8043-8050 (1991)
- B. Dietz and K. Zyczkowski, "Level spacing distribution
beyond Wigner surmise"; Z.Phys. B84,
157-158 (1991)
- K. Zyczkowski and G. Lenz, pdf
"Eigenvector statistics for the transition from the
orthogonal to the unitary ensemble"; Z.Phys.
B82, 299-303 (1991)
- F. Haake and K. Zyczkowski, pdf
"Random--matrix
theory
and
eigenmodes
of
dynamical systems"; Phys.Rev. A42,
1013-1016, (1990)
Chaotic
scattering and statistical physics
- E. Aurell, J. Zakrzewski and K. Zyczkowski, pdf "Time
reversals of irreversible quantum maps", J.
Phys. A 48, 38FT01, (2015) [arXiv:1505.02259]
- A.E. Rastegin and K. Zyczkowski, pdf "Jarzynski
equality for quantum stochastic maps", Phys.Rev.
E89, 012127, (2014) [arXiv:1307.5370]
- R. Gebarowski, P. Seba, K. Zyczkowski, and J. Zakrzewski, pdf
"Quantum scattering in the strip: from ballistic to localized
regimes", Europhys. J. B 6,
399-409 (1998), [cond-mat/9801314]
- K. Zyczkowski, pdf "Scattering
matrices with block symmetries", Phys.
Rev.
E56, 2257-2260 (1997), [chao-dyn/9703001]
- P. Seba, K. Zyczkowski, and J. Zakrzewski,
pdf
"Statistical properties of random scattering matrices", Phys.
Rev. E 54, 2438-2446 (1996), [chao-dyn/9603005]
Conductivity
in disordered media
- P. Seba, K. Zyczkowski, J.Zakrzewski; "Random
matrix approach to `nonuniversal' conductance"; Acta
Physica Polonica B 30, 2797-2810 (1999); [cond-mat/9712048]
- I.Guarneri, K. Zyczkowski, J.Zakrzewski, L. Molinari and G.
Casati, pdf
"Parametric
spectral
correlations
of
disordered systems in the Fourier domain"; Phys. Rev.
E52, 2220-2234 (1995), [chao-dyn/9501019]
- K. Zyczkowski, L. Molinari and F. Izrailev, pdf
"Level curvature and metal--insulator transition in 3D
Anderson model", J.Physique I (France) 4,
1469 (1994)
- G. Casati, I. Guarneri, F. Izrailev, L. Molinari and K.
Zyczkowski, pdf
"Periodic
band
random
matrices,
curvature and conductance in disordered media"; Phys.
Rev. Lett. 72, 2697-2700
Quantum Optics
- A. Kenfack and K. Zyczkowski, pdf
"Negativity
of
the
Wigner
function
as an indicator of nonclassicality"; J.Opt. B
6, 396-404 (2004); [quant-ph/0406015]
- K.Zyczkowski and F.Haake, pdf
"Line width of a sub-poissonian laser"; J. Quant. Opt.
4, 79-83 (1992)
- K.Zyczkowski, J.Zakrzewski, "Diffusive ionization in the
Rosen-Morse potential"; Acta Phys.Pol. A75,
743-769 (1989)
- J.Zakrzewski, K.Zyczkowski, pdf
"A
simple
model
for
strong
field ionization"; Phys. Rev. A36, 4311-20
(1987)
- J.Mostowski, K.Zyczkowski, pdf
"Phase space approach to above threshold ionisation"; Z.
Physik D5, 293-98 (1987)
- T.Dohnalik, J. Koperski, M. Stankiewicz, J. Zakrzewski
K.Zyczkowski, "Quantum beats in forward scattering of
resonance radiation"; Acta Phys. Pol. A66,
493-501 (1984)
- D. Boratyn, W. Kirsch, W.Slomczyński, D. Stolicki and K.
Życzkowski; "Average Weights and Power in Weighted
Voting Games", [arXiv:1905.04261]
- W. Kirsch, W.Slomczyński, D. Stolicki and K. Życzkowski; "Double
Majority and Generalized Brexit: Explaining Counterintuitive
Results", [arXiv:1812.07048]
- W.Slomczyński and K. Zyczkowski; pdf
"Mathematical aspects of degressive proportionality", Mathem.
Social
Science 63, 94-101 (2012); arXiv:1110.1468
- K. Zyczkowski and W. Slomczynski pdf
"Square root voting system, optimal threshold and π",
in Power, Voting, and Voting Power: 30 Years After, ed.
M. J. Holler and H. Nurmi, Springer-Verlag, Berlin
2013, arXiv:1104.5213
- W. Slomczynski and K. Zyczkowski pdf
"Penrose voting system and optimal
quota", Acta Physica Polonica
B37, 3133 (2006); [arXiv:
0610271]
Financial Mathematics
- E.
Aurell and K. Zyczkowski: "Option pricing &
partial hedging: theory of Polish Options", - preprint
- E. Aurell, J-P. Bouchaud, M.Potters, and K. Zyczkowski,
"Option pricing and hedging beyond Black-Scholes", preprint
- E.
Aurell and K.Zyczkowski, "Risk-return
arguments applied to options with trading costs",
J.Phys. IV France 8, Pr6-3 (1998), [cond-mat/9803238]
- W. Bruzda, S. Friedland and K. Życzkowski; "Tensor
rank and entanglement of pure quantum states", [arXiv:1912.06854]
- K. Szymański, S. Weis and K. Życzkowski, pdf
"Classification of joint numerical ranges of three hermitian
matrices of size three", Lin. Alg. Appl. 545,
148-173 (2018) [arxiv:1603.06569]
- K. Szymański, B. Collins, T. Szarek and K. Życzkowski, pdf
" Convex set of quantum states with positive partial
transpose analysed by hit and run algorithm", J. Phys.A
50, 255206-12 (2017), [arxiv:1611.01194]
- C.F. Dunkl, P. Gawron, Ł Pawela, Z. Puchala, K.
Życzkowski, pdf "Real numerical shadow and
generalized B-splines", Lin. Alg. Appl. 479, 12-51
(2015) [arxiv:1409.4941]
- B. Collins, T. Kousha, R. Kulik, T. Szarek and K. Zyczkowski, pdf
"Exponentially convergent algorithm to
generate random points in a d-dimensional body",
[arXiv:1312.7061]
- B. Collins, P. Gawron, A. Litvak and K. Zyczkowski, pdf "Numerical
range for random matrices", J. Math. Anal.
Appl. 418, 516-533 (2014) [arXiv:1309.6203]
- W. Mlotkowski, K. Penson, and K. Zyczkowski, pdf "Densities
of the Raney distributions",
Documenta Math. 18, 1573--1596 (2013), [arXiv:1211.7259]
- E.Gutkin and K. Zyczkowski, pdf "Joint
numerical ranges, quantum maps, and joint numerical shadows", Linear Algebra Appl. 438,
2394–2404 (2013), [arXiv:1207.1227]
- Z. Puchala, J. A. Miszczak, P. Gawron,
C.F. Dunkl, J. A. Holbrook, K. Życzkowski, pdf "Restricted
numerical shadow and geometry of quantum entanglement", J.Phys. A 45, 415309 (2012)
[arxiv:1201.2524]
- T. Banica, I. Nechita and K. Zyczkowski, pdf "Almost
Hadamard matrices: general theory and examples", Open Systems Inform. Dynamics 19,
1250024 (26 pp)(2012), [arXiv:1202.2025]
- C.F. Dunkl, P. Gawron, J. A. Holbrook, J. Miszczak,
Z. Puchala, K. Zyczkowski, pdf "Numerical
shadow
and geometry of quantum states", J. Phys. A44, 335301
(19p) (2011) [arxiv:1104.2760]
- C. Dunkl, P. Gawron, J. A. Holbrook, Z.
Puchala, K. Zyczkowski,
pdf "Numerical
shadows:
measures and densities on the numerical range", Linear Algebra Appl. 434,
2042-2080 (2011) [arxiv:1010.4189]
- Z. Puchala, P. Gawron, J. A. Miszczak, L.
Skowronek, M.-D. Choi, K. Zyczkowski, pdf "Product
numerical
range
in a space with tensor product structure", Linear Algebra Appl. 434,
327-342 (2011) [arxiv:1008.3482]
- P. Gawron, Z. Puchala, J. A. Miszczak, L.
Skowronek, K. Zyczkowski, pdf "Restricted
numerical
range: a versatile tool in the theory of quantum information" J. Math. Phys 51,
102204 (2010) [arxiv.org/0905.3646]
- C. Dunkl and K. Zyczkowski, pdf
"Volume of the set of unistochastic matrices of
order 3 and the mean Jarlskog invariant",
J. Math. Phys 50, 123521 (2009)" [arxiv.org/0909.0116]
- W. Tadej, K. Zyczkowski, pdf
"Defect of a unitary matrix", Lin. Alg. Appl. 429,
447-481 (2008), [math.RA/0702510]
- M.-D. Choi, J.A. Holbrook, D. W. Kribs and
K. Zyczkowski, pdf "Higher-Rank
Numerical Ranges of unitary and normal matrices", Operators and Matrices 1, 409-426 (2007) [quant-ph/0608244]
- W. Tadej and K. Zyczkowski, pdf
"A
concise guide to complex Hadamard matrices", Open
Syst. Inf. Dyn. 13, 133-177 (2006); [quant-ph/0512154]
- M.-D. Choi, D. W. Kribs and K. Zyczkowski, pdf
"Higher-Rank Numerical Ranges and Compression
Problems", Lin.
Alg. Appl. 418,
828-839 (2006).
[math.FA/0511278]
- I. Bengtsson, A. Ericsson, M. Kus, W. Tadej, and K.
Zyczkowski, pdf
"Birkhoff's polytope and unistochastic matrices, N=3 and N=4",
Comm. Math. Phys. 259, 307-324 (2005).
[math.CO/0402325]
Scientometrics
-
K. Zyczkowski,
pdf
"Citation graph, weighted impact factors and
performance indices", Scientometrics
85, 301-315 (2010);
[arxiv:0904.2110]
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