Certifying nonlocal properties of noisy quantum operations

Albert Rico; Moisés Bermejo Morán; Fereshte Shahbeigi; Karol Życzkowski

Fidelity decay and error accumulation in random quantum circuits

Nadir Samos; Rafał Bistroń; Marcin Rudziński; Rodrigo Miguel Chinita Pereira; Karol Życzkowski

Cyclic measurements and simplified quantum state tomography

Victor Gonzalez Avella; Jakub Czartowski; Dardo Goyeneche; Karol Życzkowski

Quantum pushforward designs

Jakub Czartowski; Karol Życzkowski

Bulk-boundary correspondence from hyperinvariant tensor networks

Rafał Bistroń; Mykhailo Hontarenko; Karol Życzkowski

Rényi–Holevo inequality from α-z-Rényi relative entropies

Diego G. Bussandri; Grzegorz Rajchel-Mieldzioć; Pedro W. Lamberti; Karol Życzkowski

Minimal-noise estimation of noncommuting rotations of a spin

Jakub Czartowski; Karol Życzkowski; Daniel Braun

Orthonormal bases of extreme quantumness

Marcin Rudziński; Adam Burchardt; Karol Życzkowski

Tristochastic operations and products of quantum states

Rafał Bistroń; Wojciech Śmiałek; Karol Życzkowski

Operation fidelity explored by numerical range of Kraus operators

Igor Chełstowski; Grzegorz Rajchel-Mieldzioć; Karol Życzkowski

Transmission distance in the space of quantum channels

Diego G. Bussandri; Pedro W. Lamberti; Karol Życzkowski

Monotonicity of a quantum 2-Wasserstein distance

R Bistroń; M Eckstein; K Życzkowski

Local hidden variable values without optimization procedures

Dardo Goyeneche; Wojciech Bruzda; Ondřej Turek; Daniel Alsina; Karol Życzkowski

Entangled States Are Harder to Transfer than Product States

Tony J. G. Apollaro; Salvatore Lorenzo; Francesco Plastina; Mirko Consiglio; Karol Życzkowski

Quantum Monge-Kantorovich Problem and Transport Distance between Density Matrices

Shmuel Friedland; Michał Eckstein; Sam Cole; Karol Życzkowski

Thirty-six Entangled Officers of Euler: Quantum Solution to a Classically Impossible Problem

Suhail Ahmad Rather; Adam Burchardt; Wojciech Bruzda; Grzegorz Rajchel-Mieldzioć; Arul Lakshminarayan

Algebraic and geometric structures inside the Birkhoff polytope

Grzegorz Rajchel-Mieldzioć; Kamil Korzekwa; Zbigniew Puchała; Karol Życzkowski

Dephasing superchannels

Zbigniew Puchała; Kamil Korzekwa; Roberto Salazar; Paweł Horodecki; Karol Życzkowski

Genuinely quantum solutions of the game Sudoku and their cardinality

Jerzy Paczos; Marcin Wierzbiński; Grzegorz Rajchel-Mieldzioć; Adam Burchardt; Karol Życzkowski

Confident entanglement detection via the separable numerical range

Timo Simnacher; Jakub Czartowski; Konrad Szymański; Karol Życzkowski

Random generators of Markovian evolution: A quantum-classical transition by superdecoherence

W. Tarnowski; I. Yusipov; T. Laptyeva; S. Denisov; D. Chruściński

Entanglement in highly symmetric multipartite quantum states

Adam Burchardt; Jakub Czartowski; Karol Życzkowski

Quasi-inversion of quantum and classical channels in finite dimensions

Fereshte Shahbeigi; Koorosh Sadri; Morteza Moradi; Karol Życzkowski; Vahid Karimipour

Log-convex set of Lindblad semigroups acting on N-level system

Fereshte Shahbeigi; David Amaro-Alcalá; Zbigniew Puchała; Karol Życzkowski

Perfect quantum-state synchronization

Jakub Czartowski; Ronny Müller; Karol Życzkowski; Daniel Braun

Symmetric multiqudit states: Stars, entanglement, and rotosensors

Chryssomalis Chryssomalakos; Louis Hanotel; Edgar Guzmán-González; Daniel Braun; Eduardo Serrano-Ensástiga

Generating random quantum channels

Ryszard Kukulski; Ion Nechita; Łukasz Pawela; Zbigniew Puchała; Karol Życzkowski

Bipartite quantum measurements with optimal single-sided distinguishability

Jakub Czartowski; Karol Życzkowski

Special issue in honour of the life and work of Fritz Haake

Sven Gnutzmann; Thomas Guhr; Henning Schomerus; Karol Życzkowski

Modulated kicks approximation in non-integrable classical and quantum systems

Reply to Comment on Quantum chaotic system in the generalized Husimi representation

Squeezed states in a quantum chaotic system

Scaling laws of the additive random-matrix model

Wave chaos in quantized classically nonchaotic systems

Indicators of quantum chaos based on eigenvector statistics

Random-matrix theory and eigenmodes of dynamical systems

Quantum scars on a sphere

Relative randomness of quantum observables

Eigenvector statistics for the transitions from the orthogonal to the unitary ensemble

Level-spacing distributions beyond the Wigner surmise

Manifestation of wave chaos in pseudointegrable microwave resonators

Linewidth of a periodically pumped laser with sub-Poissonian photon statistics

Lyapunov exponents from quantum dynamics

Time-reversal symmetry breaking and the statistical properties of quantum systems

Statistical properties of spectra of pseudointegrable systems

How to generalize the Lapunov exponent for quantum mechanics

Eigenvector statistics of random band matrices

Quantum chaos: An entropy approach

Random unitary matrices

Scaling laws of complex band random matrices

Semiclassical spectra without periodic orbits for a kicked top

Periodic band random matrices, curvature, and conductance in disordered media

Exponential decay of relative entropies to the Kolmogorov-Sinai entropy for the standard map

Parametric spectral correlations of disordered systems in the Fourier domain

Scaling laws of complex band random matrices

Statistical properties of random scattering matrices

Erratum: Quantum chaos: An entropy approach (Journal of Mathematical Physics (1994) 35 (5674-5700))

Time-reversal symmetry and random polynomials

Interpolating ensembles of random unitary matrices

Secular determinants of random unitary matrices

Volume of the set of separable states

Coherent states measurement entropy

Scattering matrices with block symmetries

Quantum scattering in the strip: From ballistic to localized regimes

The Monge distance between quantum states

Volume of the set of separable states. II

Composed ensembles of random unitary matrices

Mean dynamical entropy of quantum maps on the sphere diverges in the semiclassical limit

On the entropy devil's staircase in a family of gap-tent maps

Quantum baker map on the sphere

Universal behavior in the parametric evolution of chaotic saddles

Linear parabolic maps on the torus

Time evolution of quantum fractals

Truncations of random unitary matrices

Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series

Dynamical entropy for systems with stochastic perturbation

Entropy computing via integration over fractal measures

Invariant sets for discontinuous parabolic area-preserving torus maps

What symbolic dynamics do we get with a misplaced partition? : On the validity of threshold crossings analysis of chaotic time-series

Analog to digital conversion in physical measurements

Devil-staircase behavior of dynamical invariants in chaotic scattering

Rényi-Wehrl entropies as measures of localization in phase space

Spectrum of the Frobenius-Perron operator for systems with stochastic perturbation

The Monge metric on the sphere and geometry of quantum states

Induced measures in the space of mixed quantum states

Level dynamics and universality of spectral fluctuations

Localization of eigenstates and mean Wehrl entropy

Classical 1D maps, quantum graphs and ensembles of unitary matrices

Geometry of entangled states

Irreversible quantum baker map

Relativity of pure states entanglement

CPⁿ, or, entanglement illustrated

Dynamics of quantum entanglement

Rényi extrapolation of Shannon entropy

Bounds on entanglement in qudit subsystems

Quantum iterated function systems

Random unistochastic matrices

Hilbert-Schmidt volume of the set of mixed quantum states

Quantization of classical maps with tunable Ruelle-Pollicott resonances

Bures volume of the set of mixed quantum states

Entanglement of 2 × K quantum systems

Families of Line-Graphs and Their Quantization

Statistical properties of random density matrices

Wehrl entropy, Lieb conjecture, and entanglement monotones

Negativity of the Wigner function as an indicator of non-classicality

On duality between quantum maps and quantum states

Quantum dynamical entropy and decoherence rate

Scalable noise estimation with random unitary operators

Experimental simulation of quantum graphs by microwave networks

Quantum error correcting codes from the compression formalism

Average fidelity between random quantum states

Birkhoff's polytope and unistochastic matrices, N = 3 and N = 4

On the structure of the body of states with positive partial transpose

Physics for fairer voting

Distribution of G concurrence of random pure states

Geometry of quantum states: An introduction to quantum entanglement

Higher-rank numerical ranges and compression problems

Mutually unbiased bases and Hadamard matrices of order six

Subnormalized states and trace-nonincreasing maps

A concise guide to complex Hadamard matrices

Quantum state discrimination: A geometric approach

Quartic quantum theory: An extension of the standard quantum mechanics

Dynamics beyond completely positive maps: Some properties and applications

Entropy of a quantum error correction code

Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive

Composition of quantum states and dynamical subadditivity

Defect of a unitary matrix

Random quantum operations

Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant

Basis markov partitions and transition matrices for stochastic systems

Positive maps, positive polynomials and entanglement witnesses

Random bistochastic matrices

Universal bounds for the holevo quantity, coherent information, and the jensen-shannon divergence

Universality of spectra for interacting quantum chaotic systems

Cones of positive maps and their duality relations

Random graph states, maximal flow and Fuss-Catalan distributions

Restricted numerical range: A versatile tool in the theory of quantum information

Truncations of random orthogonal matrices

Protected subspaces in quantum information

Random Bures mixed states and the distribution of their purity

Davies maps for qubits and qutrits

On mutually unbiased bases

Product of Ginibre matrices: Fuss-Catalan and Raney distributions

Citation graph, weighted impact factors and performance indices

Numerical shadow and geometry of quantum states

Numerical shadows: Measures and densities on the numerical range

Product numerical range in a space with tensor product structure

Entropic characterization of quantum operations

Generating random density matrices

How often is a random quantum state k-entangled?

Restricted numerical shadow and the geometry of quantum entanglement

Collective uncertainty entanglement test

Composition of quantum operations and products of random matrices

Barycentric measure of quantum entanglement

Mathematical aspects of degressive proportionality

Square root voting system, optimal threshold and π

Almost hadamard matrices: General theory and examples

Joint numerical ranges, quantum maps, and joint numerical shadows

Majorization entropic uncertainty relations

Extremal spacings between eigenphases of random unitary matrices and their tensor products

Better late than never: Information retrieval from black holes

Erratum: Unitary quantum gates, perfect entanglers, and unistochastic maps (Physical Review A - Atomic, Molecular, and Optical Physics (2013) 87 (022111))

Numerical range for random matrices

Strong majorization entropic uncertainty relations

Area law for random graph states

Constructive entanglement test from triangle inequality

Diagonal unitary entangling gates and contradiagonal quantum states

Genuinely multipartite entangled states and orthogonal arrays

Spectral density of generalized Wishart matrices and free multiplicative convolution

Time reversals of irreversible quantum maps

Minimal Rényi-Ingarden-Urbanik entropy of multipartite quantum states

Mutually unbiased bases and the mean king’s problem: On mutually unbiased bases

Real numerical shadow and generalized B-splines

Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices

Certainty relations, mutual entanglement, and nondisplaceable manifolds

Method for universal detection of two-photon polarization entanglement

Multipartite entanglement in heterogeneous systems

Operational approach to Bell inequalities: Application to qutrits

Selfcomplementary Quantum Channels

Majorization entropic uncertainty relations for quantum operations

Maximally Entangled Multipartite States: A Brief Survey

Distinguishability of generic quantum states

Nuclear numerical range and quantum error correction codes for non-unitary noise models

Quantum measurements with prescribed symmetry

Quantum noise generated by local random Hamiltonians

Geometry of quantum states: An introduction to quantum entanglement

Impact of local dynamics on entangling power

Majorization uncertainty relations for mixed quantum states

Robust Hadamard Matrices, Unistochastic Rays in Birkhoff Polytope and Equi-Entangled Bases in Composite Spaces

Convex set of quantum states with positive partial transpose analysed by hit and run algorithm

Entanglement and quantum combinatorial designs

Entanglement of three-qubit random pure states

Entanglement properties of multipartite informationally complete quantum measurements

Almost all quantum channels are equidistant

Bipartite unitary gates and billiard dynamics in the Weyl chamber

Coherifying quantum channels

Trade-off relations for operation entropy of complementary quantum channels

Universal Spectra of Random Lindblad Operators

K-uniform mixed states

Pauli semigroups and unistochastic quantum channels

Separability gap and large-deviation entanglement criterion

Cut-resistant links and multipartite entanglement resistant to particle loss

Distinguishing classically indistinguishable states and channels

Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs

Jakub Czartowski; Dardo Goyeneche; Markus Grassl; Karol Życzkowski

Geometric and algebraic origins of additive uncertainty relations

Konrad Szymański; Karol Życzkowski

Application of Shemesh theorem to quantum channels

Michał Białończyk; Andrzej Jamiołkowski; Karol Życzkowski

Coarse-grained entanglement classification through orthogonal arrays

Luigi Seveso; Dardo Goyeneche; Karol Życzkowski

Classification of joint numerical ranges of three hermitian matrices of size three

Konrad Szymański; Stephan Weis; Karol Życzkowski

Asymptotic entropic uncertainty relations

Radosław Adamczak; Rafał Latała; Zbigniew Puchała; Karol Życzkowski