Karol Życzkowski
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Polish physicist
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Physics
Karol Życzkowski's Degrees
- PhD Physics Jagiellonian University
Why Is Karol Życzkowski Influential?
(Suggest an Edit or Addition)According to Wikipedia, Karol Życzkowski is a Polish physicist and mathematician. He is a professor of physics at the Atomic Physics Department, Institute of Physics, of the Jagiellonian University in Kraków, Poland, and also at the Center for Theoretical Physics of the Polish Academy of Sciences in Warsaw. He worked as a Humboldt Fellow at the University of Essen and as senior Fulbright Fellow at the University of Maryland, College Park . In 2005/06 visiting scientist at the Perimeter Institute, Waterloo .
Karol Życzkowski's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Volume of the set of separable states (1998) (982)
- Geometry of quantum states: an introduction to quantum entanglement by Ingemar Bengtsson and Karol Zyczkowski (2006) (553)
- Negativity of the Wigner function as an indicator of non-classicality (2004) (537)
- Geometry of Quantum States (2007) (524)
- Better late than never: information retrieval from black holes. (2009) (447)
- Scalable noise estimation with random unitary operators (2005) (364)
- Induced measures in the space of mixed quantum states (2000) (355)
- ON MUTUALLY UNBIASED BASES (2010) (297)
- A Concise Guide to Complex Hadamard Matrices (2005) (277)
- Dynamics of quantum entanglement (2000) (254)
- Random unitary matrices (1994) (250)
- Rényi Extrapolation of Shannon Entropy (2003) (184)
- Geometry of Quantum States: Index (2006) (182)
- On the volume of the set of mixed entangled states II (1998) (177)
- Truncations of random unitary matrices (1999) (171)
- Generating random density matrices (2010) (148)
- Bures volume of the set of mixed quantum states (2003) (144)
- Statistical properties of random density matrices (2004) (125)
- On Duality between Quantum Maps and Quantum States (2004) (120)
- Strong majorization entropic uncertainty relations (2014) (117)
- Majorization entropic uncertainty relations (2013) (116)
- Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices (2015) (114)
- Mutually unbiased bases and Hadamard matrices of order six (2007) (111)
- Hilbert–Schmidt volume of the set of mixed quantum states (2003) (111)
- Geometry of entangled states (2000) (110)
- What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series (2001) (108)
- Experimental simulation of quantum graphs by microwave networks. (2004) (106)
- Product of Ginibre matrices: Fuss-Catalan and Raney distributions. (2011) (106)
- Composed ensembles of random unitary matrices (1997) (104)
- Genuinely multipartite entangled states and orthogonal arrays (2014) (104)
- Entangled black holes as ciphers of hidden information (2009) (98)
- Higher-rank numerical ranges and compression problems (2005) (92)
- Average fidelity between random quantum states (2003) (85)
- Dynamics beyond completely positive maps : some properties and applications (2008) (83)
- Cones of positive maps and their duality relations (2009) (82)
- Sub- and super-fidelity as bounds for quantum fidelity (2008) (80)
- Quantum error correcting codes from the compression formalism (2005) (80)
- Random Bures mixed states and the distribution of their purity (2009) (77)
- Quantum chaos: An entropy approach (1994) (75)
- Rényi-Wehrl entropies as measures of localization in phase space (2001) (75)
- Random quantum operations (2008) (75)
- Penrose voting system and optimal quota (2006) (73)
- The Monge metric on the sphere and geometry of quantum states (2000) (72)
- Random unistochastic matrices (2001) (65)
- Birkhoff’s Polytope and Unistochastic Matrices, N = 3 and N = 4 (2004) (61)
- Secular determinants of random unitary matrices (1996) (56)
- Entanglement and quantum combinatorial designs (2017) (56)
- Classical 1D maps, quantum graphs and ensembles of unitary matrices (2000) (55)
- Quartic quantum theory: an extension of the standard quantum mechanics (2008) (54)
- Induced Ginibre ensemble of random matrices and quantum operations (2011) (53)
- Mathematical aspects of degressive proportionality (2011) (52)
- Higher-Rank Numerical Ranges of Unitary and Normal Matrices (2006) (50)
- Volume of the set of separable states . II (1999) (50)
- Entropy computing via integration over fractal measures. (1998) (50)
- Restricted numerical range: A versatile tool in the theory of quantum information (2009) (50)
- Universal bounds for the Holevo quantity, coherent information, and the Jensen-Shannon divergence. (2010) (50)
- Universal Spectra of Random Lindblad Operators. (2018) (49)
- Jarzynski equality for quantum stochastic maps. (2013) (49)
- Quantum state discrimination: A geometric approach (2007) (49)
- Random graph states, maximal flow and Fuss–Catalan distributions (2010) (48)
- Defect of a unitary matrix (2007) (45)
- Densities of the Raney distributions (2012) (45)
- Relativity of Pure States Entanglement (2001) (43)
- The Monge distance between quantum states (1997) (43)
- Voting in the European Union: The square root system of Penrose and a critical point (2004) (42)
- Multipartite entanglement in heterogeneous systems (2016) (41)
- Truncations of random orthogonal matrices. (2010) (41)
- Bounds on entanglement in qudit subsystems (2002) (40)
- Maximally Entangled Multipartite States: A Brief Survey (2016) (38)
- Wehrl entropy, Lieb conjecture, and entanglement monotones (2003) (38)
- Families of Line-Graphs and Their Quantization (2001) (38)
- Coherifying quantum channels (2017) (36)
- Davies maps for qubits and qutrits (2009) (36)
- Unitary quantum gates, perfect entanglers, and unistochastic maps (2012) (35)
- Distinguishability of generic quantum states (2015) (35)
- Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive (2007) (34)
- Geometry of the Set of Mixed Quantum States: An Apophatic Approach (2011) (34)
- Random bistochastic matrices (2007) (34)
- CP n , OR, ENTANGLEMENT ILLUSTRATED (2001) (34)
- Citation graph, weighted impact factors and performance indices (2009) (31)
- Product numerical range in a space with tensor product structure (2010) (31)
- Barycentric measure of quantum entanglement (2011) (31)
- Almost all quantum channels are equidistant (2016) (31)
- Indicators of quantum chaos based on eigenvector statistics (1990) (31)
- Five open problems in quantum information (2020) (30)
- LETTER TO THE EDITOR: On the structure of the body of states with positive partial transpose (2005) (30)
- From a toy model to the double square root voting system (2007) (29)
- How often is a random quantum state k-entangled? (2010) (29)
- The allocation between EU member states of seats in the European Parliament (2011) (29)
- On the entropy devil's staircase in a family of gap-tent maps (1998) (29)
- Majorization entropic uncertainty relations for quantum operations (2015) (29)
- The allocation between the EU member states of the seats in the European Parliament Cambridge Compromise (2011) (28)
- Quantum dynamical entropy and decoherence rate (2003) (28)
- Quantum iterated function systems. (2002) (27)
- Entanglement of 2×K quantum systems (2003) (27)
- Numerical shadow and geometry of quantum states (2011) (26)
- Mubs and Hadamards of Order Six (2006) (25)
- ENTROPIC CHARACTERIZATION OF QUANTUM OPERATIONS (2011) (24)
- Composition of quantum states and dynamical subadditivity (2007) (22)
- Institutional Design and Voting Power in the European Union (2010) (22)
- Entropic trade-off relations for quantum operations (2012) (21)
- Diagonal unitary entangling gates and contradiagonal quantum states (2014) (21)
- Method for universal detection of two-photon polarization entanglement (2014) (21)
- Entanglement of Three-Qubit Random Pure States (2018) (21)
- Almost Hadamard Matrices: General Theory and Examples (2012) (20)
- Random generators of Markovian evolution: A quantum-classical transition by superdecoherence. (2021) (20)
- Classification of joint numerical ranges of three hermitian matrices of size three (2016) (20)
- Jagiellonian Compromise an alternative voting system for the Council of the European Union (2007) (20)
- Thirty-six Entangled Officers of Euler: Quantum Solution to a Classically Impossible Problem. (2021) (20)
- Gauge invariant information concerning quantum channels (2017) (20)
- Matrices of fidelities for ensembles of quantum states and the holevo quantity (2011) (20)
- Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant (2009) (20)
- Generating random quantum channels (2020) (19)
- Operational approach to Bell inequalities: Application to qutrits (2016) (19)
- A brief introduction to multipartite entanglement (2016) (19)
- Asymptotic entropic uncertainty relations (2014) (19)
- Invariant sets for discontinuous parabolic area-preserving torus maps (1999) (19)
- Certainty relations, mutual entanglement, and nondisplaceable manifolds (2015) (19)
- Lyapunov exponents from quantum dynamics (1992) (18)
- Joint numerical ranges, quantum maps, and joint numerical shadows (2012) (18)
- Positive maps, positive polynomials and entanglement witnesses (2009) (18)
- Collective uncertainty entanglement test. (2011) (18)
- Restricted numerical shadow and the geometry of quantum entanglement (2012) (17)
- Bipartite unitary gates and billiard dynamics in the Weyl chamber (2017) (17)
- Basis Markov Partitions and Transition Matrices for Stochastic Systems (2006) (17)
- Time-reversal symmetry breaking and the statistical properties of quantum systems (1992) (16)
- Five Open Problems in Quantum Information Theory (2022) (16)
- Universality of spectra for interacting quantum chaotic systems. (2010) (16)
- Spectral density of generalized Wishart matrices and free multiplicative convolution. (2014) (16)
- Impact of local dynamics on entangling power (2017) (16)
- Selfcomplementary Quantum Channels (2016) (16)
- Mean Dynamical Entropy of Quantum Maps on the Sphere Diverges in the Semiclassical Limit (1997) (16)
- Majorization uncertainty relations for mixed quantum states (2017) (15)
- Numerical shadows: Measures and densities on the numerical range (2010) (15)
- Quantum Monge-Kantorovich Problem and Transport Distance between Density Matrices. (2021) (15)
- Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs. (2019) (15)
- On discrete structures in finite Hilbert spaces (2017) (15)
- Time reversals of irreversible quantum maps (2015) (14)
- Irreversible quantum baker map. (2002) (14)
- Physics for fairer voting (2006) (14)
- An Introduction to Quantum Entanglement: A Geometric Approach (2006) (14)
- Eigenvector statistics for the transitions from the orthogonal to the unitary ensemble (1991) (14)
- Quantum Optimal Transport (2021) (13)
- Localization of eigenstates and mean Wehrl entropy (1999) (13)
- Minimal Rényi-Ingarden-Urbanik Entropy of Multipartite Quantum States (2015) (13)
- Universal behavior in the parametric evolution of chaotic saddles. (1999) (13)
- Area law for random graph states (2013) (12)
- Entanglement properties of multipartite informationally complete quantum measurements (2018) (11)
- Square Root Voting System, Optimal Threshold and \( \uppi \) (2011) (11)
- Collectibility for mixed quantum states (2012) (11)
- Physical accessibility of non-completely positive maps (2005) (11)
- Coherent states measurement entropy (1996) (11)
- Protected subspaces in quantum information (2009) (11)
- Quantum baker map on the sphere (1998) (11)
- Linear parabolic maps on the torus (1999) (10)
- Geometry of Quantum States: Outline of quantum mechanics (2006) (10)
- Pauli semigroups and unistochastic quantum channels (2019) (10)
- Classical and quantum billiards : integrable, nonintegrable and pseudo-integrable (1992) (10)
- On the Stability of the Solar System (10)
- Level curvature and metal-insulator transition in 3d Anderson model (1994) (10)
- Tensor Products of Random Unitary Matrices (2012) (10)
- NUMERICAL RANGE FOR RANDOM MATRICES (2013) (10)
- Geometric and algebraic origins of additive uncertainty relations (2018) (9)
- Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength (2019) (9)
- Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength (2019) (9)
- HOW TO GENERALIZE THE LAPUNOV EXPONENT FOR QUANTUM MECHANICS (1993) (9)
- Distinguishing classically indistinguishable states and channels (2018) (8)
- Tensor rank and entanglement of pure quantum states (2019) (8)
- Composition of quantum operations and products of random matrices (2011) (8)
- Symmetries of quantum evolutions (2021) (8)
- Entangling power of multipartite unitary gates (2019) (8)
- Level-spacing distributions beyond the Wigner surmise (1991) (8)
- Quasi-inversion of quantum and classical channels in finite dimensions (2021) (7)
- Discrete structures in Hilbert space (2017) (7)
- Cut-resistant links and multipartite entanglement resistant to particle loss (2019) (7)
- Constructive entanglement test from triangle inequality (2012) (7)
- Spectrum of the Frobenius–Perron operator for systems with stochastic perturbation (2001) (6)
- Encoding Classical Information Into Quantum Resources (2019) (6)
- Entropy of a Quantum Error Correction Code (2008) (6)
- M ar 2 01 2 Square root voting system , optimal threshold and π (6)
- Nonuniversality in level dynamics (1996) (6)
- Separability gap and large-deviation entanglement criterion (2019) (6)
- Five open problems in theory of quantum information (2020) (5)
- Quantization of classical maps with tunable Ruelle-Pollicott resonances. (2003) (5)
- Transition from order to chaos in reduced quantum dynamics. (2021) (5)
- The accessibility of convex bodies and derandomization of the hit and run algorithm (2013) (5)
- Average Weights and Power in Weighted Voting Games (2019) (5)
- Extremal spacings between eigenphases of random unitary matrices and their tensor products. (2012) (5)
- k -uniform mixed states (2019) (5)
- Convex set of quantum states with positive partial transpose analysed by hit and run algorithm (2016) (5)
- Parametric dynamics of quantum systems and transitions between ensembles of random matrices (1993) (5)
- Option Pricing & Partial Hedging: Theory of Polish Options (1995) (4)
- Dephasing superchannels (2021) (4)
- SCATTERING MATRICES WITH BLOCK SYMMETRIES (1997) (4)
- Geometric structure of thermal cones. (2022) (4)
- Application of Shemesh theorem to quantum channels (2017) (4)
- Nuclear numerical range and quantum error correction codes for non-unitary noise models (2016) (4)
- Complex Hadamard matrices and almost Hadamard matrices (2014) (4)
- Genuinely quantum SudoQ and its cardinality (2021) (4)
- Monotonicity of a quantum 2-Wasserstein distance (2022) (4)
- Entanglement in highly symmetric multipartite quantum states (2021) (4)
- Level Dynamics and Universality of Spectral Fluctuations (2000) (4)
- Symmetric multiqudit states: Stars, entanglement, and rotosensors (2021) (3)
- Erratum: Quantum chaos: An entropy approach [J. Math. Phys. 35, 5674–5700 (1994)] (1995) (3)
- Trade-off relations for operation entropy of complementary quantum channels (2019) (3)
- Manifolds of interconvertible pure states (2001) (3)
- Perfect quantum-state synchronization (2021) (3)
- Wehrl entropy, Lieb conjecture, and entanglement monotones (11 pages) (2004) (3)
- Phase space approach to above threshold ionization (1987) (3)
- Geometry of Quantum States: Quantum entanglement (2006) (3)
- On Bounds for Allocation of Seats in the European Parliament (2010) (3)
- Double Majority and Generalized Brexit: Explaining Counterintuitive Results (2018) (3)
- Mini-Workshop: Geometry of Quantum Entanglement (2009) (3)
- Robust Hadamard Matrices, Unistochastic Rays in Birkhoff Polytope and Equi-Entangled Bases in Composite Spaces (2018) (3)
- Thirty-six entangled officers of Euler (2021) (3)
- Periodic and Non-Periodic Band Random Matrices: Structure of Eigenstates (1996) (3)
- Devil-staircase behavior of dynamical invariants in chaotic scattering (2000) (3)
- Real numerical shadow and generalized B-splines (2014) (3)
- Log-convex set of Lindblad semigroups acting on N-level system (2020) (3)
- Generalized numerical range as a versatile tool to study quantum entanglement (2010) (3)
- Local numerical range: a versatile tool in the theory of quantum information (2009) (3)
- Genuinely quantum solutions of the game Sudoku and their cardinality (2021) (3)
- Time-reversal symmetry and random polynomials (1996) (3)
- Multiaccess quantum communication and product higher rank numerical range (2012) (2)
- Squeezed states in a quantum chaotic system (1989) (2)
- Ground state energy: Can it really be reached with quantum annealers? (2018) (2)
- Quantum Error Correction and Higher-Rank Numerical Range (2005) (2)
- Quantum noise generated by local random Hamiltonians (2016) (2)
- Quantum transfer of interacting qubits (2022) (2)
- Multifractals and entropy computing (1998) (2)
- Quantum scattering in the strip: From ballistic to localized regimes (1998) (2)
- Coarse-grained entanglement classification through orthogonal arrays (2017) (2)
- Geometry of Quantum States: Purification of mixed quantum states (2006) (2)
- Random matrices of circular symplectic ensemble (1995) (2)
- Bipartite quantum measurements with optimal single-sided distinguishability (2020) (2)
- 9 × 4 = 6 × 6: Understanding the Quantum Solution to Euler’s Problem of 36 Officers (2022) (2)
- Special issue in honour of the life and work of Fritz Haake (2021) (2)
- Quantum measurements with prescribed symmetry (2017) (2)
- Geometry of Quantum States: Complex projective spaces (2006) (2)
- Compromise – An Alternative Voting System for the Council of the European Union (2007) (2)
- Thermalization of entangling power with arbitrarily weak interactions (2019) (2)
- 9 × 4 = 6 × 6: Understanding the quantum solution to the Euler’s problem of 36 officers (2022) (2)
- Operation fidelity explored by numerical range of Kraus operators (2022) (1)
- Relatively Random Unitary Operators (1994) (1)
- Infinite family of topologically conjugated digraphs and their quantization (2001) (1)
- Scaling laws of complex band random matrices (1995) (1)
- The powerfulness of classical correlations (2020) (1)
- 10 08 8 v 1 2 1 O ct 1 99 9 Localization of Eigenstates & Mean Wehrl Entropy (2022) (1)
- Geometry of Quantum Entanglement (2008) (1)
- Quantum version of the Euler's problem: a geometric perspective (2022) (1)
- An extended, quartic quantum theory (2008) (1)
- Spectral and structural properties of quantum maps and algebra generated by their Kraus operators (2017) (1)
- Random unitary matrices associated to a graph (2013) (1)
- Can local dynamics enhance entangling power? (2016) (1)
- Matrix logistic map: fractal spectral distributions and transfer of chaos (2023) (1)
- A 700-seat no-loss composition for the 2019 European Parliament (2017) (1)
- Exponentially convergent algorithm to generate random points in a $d$--dimensional body (2013) (1)
- Geometry of Quantum States: Quantum operations (2006) (1)
- Geometry of Quantum States: Geometry: do it yourself (2006) (0)
- Algebraic and geometric structures inside the Birkhoff polytope (2021) (0)
- Monotone metrics and measures (2017) (0)
- All orthogonal arrays from quantum states (2017) (0)
- A model for strong field ionisation (1986) (0)
- Unitary quantum gates: a measure theoretic approach (2012) (0)
- Universal Detection of Two-photon Polarization Entanglement (2014) (0)
- Accessible Maps in a Group of Classical or Quantum Channels (2022) (0)
- Geometry of Quantum States: References (2006) (0)
- Fe b 20 07 Defect of a unitary matrix (2007) (0)
- 2 0 D ec 2 00 7 Defect of a unitary matrix (2007) (0)
- Geometry of Quantum States: Distinguishability measures (2006) (0)
- 04 06 01 5 v 1 2 J un 2 00 4 Negativity of the Wigner function as an indicator of nonclassicality (2018) (0)
- Confident entanglement detection via the separable numerical range (2021) (0)
- Geometry of Quantum States: Epilogue (2006) (0)
- Geometry of Quantum States: Hints and answers to the exercises (2006) (0)
- Geometry of Quantum States: The space of density matrices (2006) (0)
- 01 31 1 v 2 [ qu an tph ] 1 6 Se p 20 19 k-uniform mixed states (2019) (0)
- Composed ensembles of random unitary ensembles (1997) (0)
- Geometry of Quantum States: The stellar representation (2006) (0)
- Report on 2012.07681v2 (2021) (0)
- Geometry of Quantum States: Duality: maps versus states (2006) (0)
- Three favorite dimensions of Andrzej Kossakowski: along his path to a scientific discovery (2022) (0)
- Geometry of Quantum States: Convexity, colours and statistics (2006) (0)
- 05 09 00 8 v 2 2 D ec 2 00 5 On the structure of the body of states with positive partial transpose Stanis law (0)
- Report on 2012.07681v3 (2021) (0)
- Simultaneous minimal-noise estimation of noncommuting rotations of a spin (2023) (0)
- From a toy model to a complete weighted voting system (2007) (0)
- Geometry of Quantum States: Preface (2006) (0)
- Quantum chaotic scattering in the strip: from diffusion to localization (1998) (0)
- MODULATED KICKS APPROXIMATION IN A CLASSICAL CHAOTIC SYSTEM (1986) (0)
- Bibliometric data in various fields of science: A comparison of apples and oranges (2013) (0)
- Completely synchronizing quantum channels (2021) (0)
- Quantization of Classical Maps with tailormade Ruelle-Pollicott Resonances (2003) (0)
- Geometry of Quantum States: Geometry of probability distributions (2006) (0)
- Random matrix approach to 'nonuniversal' conductance (1997) (0)
- qu an tph ] 1 4 Ju l 2 02 1 Dephasing superchannels (2021) (0)
- Random Lindblad operators obeying detailed balance (2023) (0)
- Error correcting codes for binary unitary channels on multipartite quantum systems (2006) (0)
- Entangled States Are Harder to Transfer than Product States (2022) (0)
- Extremal spacings of random unitary matrices (2012) (0)
- Nuclear numerical range and quantum error correction codes for non-unitary noise models (2016) (0)
- Robust Hadamard Matrices, Unistochastic Rays in Birkhoff Polytope and Equi-Entangled Bases in Composite Spaces (2018) (0)
- Modulated kicks approximation in non-integrable classical and quantum systems (1988) (0)
- Multipartite entanglement for informationally complete quantum measurements (2018) (0)
- Ja n 19 99 Analog to Digital Conversion in Physical Measurements (1999) (0)
- Geometry of Quantum States: Monotone metrics and measures (2006) (0)
- Basic notions of differential geometry (2006) (0)
- Book Review: Principles of Quantum Computation and Information (2020) (0)
- O ct 2 01 8 Application of Shemesh theorem to quantum channels (0)
- Geometry of Quantum States: Basic notions of group theory (2006) (0)
- Linewidth of a periodically pumped laser with sub-Poissonian photon statistics (1992) (0)
- Optimal allocation of quantum resources (2020) (0)
- Extremal spacings of random unitary matrices and their tensor products (2012) (0)
- qu an tph ] 1 0 Ju n 20 11 Collective Uncertainty Entanglement Test (2018) (0)
- A Natural Entanglement Test (2012) (0)
- Scaling laws of complex band random matrices (1995) (0)
- Euroattractor: a brief introduction to Iterated Function Systems (2002) (0)
- Ju l 2 00 2 Families of line-graphs and their quantization (0)
- A pr 2 00 8 An extended , quartic quantum theory (2008) (0)
- Universal witnesses of vanishing energy gap (2021) (0)
- PHYSICAL REVIEW A 100, 032112 (2019) k-uniform mixed states (2019) (0)
- Proposal of Universal Detection of Two-photon Polarization Entanglement (2014) (0)
- Transmission distance in the space of quantum channels (2023) (0)
- Local hidden variable values without optimization procedures (2020) (0)
- Geometry of Quantum States: Much ado about spheres (2006) (0)
- Geometry of Quantum States: Density matrices and entropies (2006) (0)
- Bogdan Mielnik, geometry and quanta (2022) (0)
- Fractality of certain quantum states (2001) (0)
- Geometry of Quantum States: Coherent states and group actions (2006) (0)
- Risk-return arguments applied to options with trading costs (1998) (0)
- Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery (2021) (0)
- Mean dynamical entropy of quantumsystem tends to in nity in thesemiclassical limitWojciech (0)
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What Schools Are Affiliated With Karol Życzkowski?
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