Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Induced measures in the space of mixed quantum states - MaRDI portal

Induced measures in the space of mixed quantum states

From MaRDI portal
Publication:2766226

DOI10.1088/0305-4470/34/35/335zbMath1031.81011arXivquant-ph/0012101OpenAlexW3104522527WikidataQ112267359 ScholiaQ112267359MaRDI QIDQ2766226

Hans-Jürgen Sommers, Karol Życzkowski

Publication date: 27 January 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0012101




Related Items

Hermitian and non-Hermitian perturbations of chiral Gaussian β-ensemblesTwo-step relaxation in local many-body Floquet systemsQuantum roughness as sensitivity to diffusion noise: quantifying non-classicality of multi-mode systemsQuantum interpolating ensemble: Bi-orthogonal polynomials and average entropiesProjections of orbital measures and quantum marginal problemsQuantum reading of quantum informationPractical adaptive quantum tomographyPartial transpose of random quantum states: Exact formulas and meandersDIAGONAL-UNITARY 2-DESIGN AND THEIR IMPLEMENTATIONS BY QUANTUM CIRCUITSEntanglement Thresholds for Random Induced StatesPractical Bayesian tomographySpectral and steady-state properties of random LiouvilliansSpectral statistics for the difference of two Wishart matricesRecursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transportDuistermaat–Heckman measure and the mixture of quantum statesAverage skew information-based coherence and its typicality for random quantum statesNearly Markovian maps and entanglement-based bound on corresponding non-MarkovianityMoments of quantum purity and biorthogonal polynomial recurrencePARTIAL TRANSPOSITION OF RANDOM STATES AND NON-CENTERED SEMICIRCULAR DISTRIBUTIONSQuasirandom estimations of two-qubit operator-monotone-based separability probabilitiesFormulas for rational-valued separability probabilities of random induced generalized two-qubit statesPilot-wave quantum theory with a single Bohm's trajectoryOn the separability of unitarily invariant random quantum states: the unbalanced regimeFormulas for generalized two-qubit separability probabilitiesSecure certification of mixed quantum states with application to two-party randomness generationDiagonal quantum discordPhase Transitions in the Distribution of Bipartite Entanglement of a Random Pure StateBures–Hall ensemble: spectral densities and average entropiesExact distribution of largest Schmidt eigenvalue for quantum entanglementPhase diagram of bipartite entanglementProof of Sarkar–Kumar’s conjectures on average entanglement entropies over the Bures–Hall ensembleSeparability probability formulas and their proofs for generalized two-qubit X-matrices endowed with Hilbert–Schmidt and induced measuresVolume of the set of LOCC-convertible quantum statesInvariance of bipartite separability and PPT-probabilities over Casimir invariants of reduced statesQuantum cloning attacks against PUF-based quantum authentication systemsTHE ABSOLUTE POSITIVE PARTIAL TRANSPOSE PROPERTY FOR RANDOM INDUCED STATESMaster Lovas-Andai and equivalent formulas verifying the \(\frac{8}{33}\) two-qubit Hilbert-Schmidt separability probability and companion rational-valued conjecturesAspects of generic entanglementAverage subentropy, coherence and entanglement of random mixed quantum statesOn the reduction criterion for random quantum statesEntanglement, quantum randomness, and complexity beyond scramblingConvex set of quantum states with positive partial transpose analysed by hit and run algorithmOn the distribution of the ratio of the largest eigenvalue to the trace of a Wishart matrixEntanglement fidelity of the standard quantum teleportation channelPizzetti and Cauchy formulae for higher dimensional surfaces: a distributional approachQuantum Lyapunov control with machine learningOptimal, reliable estimation of quantum statesJoint numerical ranges, quantum maps, and joint numerical shadowsAn elementary introduction to the geometry of quantum states with picturesQuantum estimation through a bottleneckQuantum tomography benchmarkingExact minimum eigenvalue distribution of an entangled random pure stateAutomated machine learning can classify bound entangled states with tomogramsStatistical distribution of quantum entanglement for a random bipartite stateRandom matrices with prescribed eigenvalues and expectation values for random quantum statesTensor network models of unitary black hole evaporationDynamical manifestation of quantum chaos: density matrix fluctuations in subsystemsSmallest eigenvalue density for regular or fixed-trace complex Wishart–Laguerre ensemble and entanglement in coupled kicked topsEnhancing the controller's power in teleporting an arbitrary two-qubit state by using the asymmetry of the four-qubit cluster stateFlexible constrained de Finetti reductions and applicationsSquaring parametrization of constrained and unconstrained sets of quantum statesEvenly distributed unitaries: On the structure of unitary designsSubnormalized states and trace-nonincreasing mapsRandom quantum operationsMultipartite entanglement and frustrationEigenvalue distributions of reduced density matricesAverage coherence and its typicality for random mixed quantum statesFidelity-optimized quantum state estimationPermutationally invariant state reconstructionVolumes for \(\text{SL}_N(\mathbb{R})\), the Selberg integral and random latticesMonte Carlo sampling from the quantum state space. IMonte Carlo sampling from the quantum state space. IIRandom repeated quantum interactions and random invariant statesRandom positive operator valued measuresLargest Schmidt eigenvalue of random pure states and conductance distribution in chaotic cavitiesCompact smallest eigenvalue expressions in Wishart–Laguerre ensembles with or without a fixed traceSpectra of large time-lagged correlation matrices from random matrix theoryExtensions of generalized two-qubit separability probability analyses to higher dimensions, additional measures and new methodologiesDirac delta function of matrix argumentTENSOR PRODUCTS OF RANDOM UNITARY MATRICESOn the role of the controller in controlled quantum teleportationVolumes and distributions for random unimodular complex and quaternion latticesRecursion for the smallest eigenvalue density of \(\beta \)-Wishart-Laguerre ensembleConcentration of measure for quantum states with a fixed expectation valueUncertainty inequality for the entanglement of both two-rebits and two-qubits statesGaussianization and eigenvalue statistics for random quantum channels. IIICrossover ensembles of random matrices and skew-orthogonal polynomialsGeneralized Euler angle parameterization for \(\text{U}(N)\) with applications to \(\text{SU}(N)\) coset volume measuresMetrics, entanglement, and mixedness in the space of two-qubitsQUBIT4MATLAB V3.0: A program package for quantum information science and quantum optics for MATLABComments on Hastings' additivity counterexamplesRandom matrix techniques in quantum information theoryThe accessibility of convex bodies and derandomization of the hit and run algorithmA generalization of Schur-Weyl duality with applications in quantum estimationUncertainty relations for the entanglement between a qubit and a qutritOn the geometric probability of entangled mixed statesQuantum model averagingThe joint distribution of the marginals of multipartite random quantum statesMIXING AND DECOHERENCE TO NEAREST SEPARABLE STATESAverage fidelity between random quantum statesPhase Transitions of Bipartite EntanglementExact Formula of the Distribution of Schmidt Eigenvalues for Dynamical Formation of Entanglement in Quantum ChaosRandom matrix theory of singular values of rectangular complex matrices. I: Exact formula of one-body distribution function in fixed-trace ensembleGenerating random quantum channelsThe PPT square conjecture holds generically for some classes of independent statesEntanglement of random subspaces via the Hastings boundUncertainty regions of observables and state-independent uncertainty relationsFeynman graphs and the large dimensional limit of multipartite entanglementSkew information-based coherence generating power of quantum channelsAverage measurement-dependent symmetric discordOn the distribution of entanglement changes produced by unitary operationsEntanglement criteria for the bosonic and fermionic induced ensemblesMinimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite coneNumerical and exact analyses of Bures and Hilbert-Schmidt separability and PPT probabilitiesOn the entanglement properties of two-rebits systemsGenerating random density matricesRealigning random statesAdditivity rates and PPT property for random quantum channels