Eigenvalue distributions of reduced density matrices

DOI10.1007/s00220-014-2144-4zbMath1304.81051arXiv1204.0741OpenAlexW3099693325MaRDI QIDQ461414

Brent Doran, Michael Walter, Matthias Christandl, Stavros Kousidis

Publication date: 10 October 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0741

zbMATH Keywords

Weyl groupDensity matricesKronecker coefficientsWeyl chamberDuistermaat-Heckman measuresQuantum marginal problem

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (25)

Quantum earth mover’s distance, a no-go quantum Kantorovich–Rubinstein theorem, and quantum marginal problem ⋮ Average entropy of a subsystem over a global unitary orbit of a mixed bipartite state ⋮ Probability density functions of quantum mechanical observable uncertainties ⋮ Derivative principles for invariant ensembles ⋮ Random tensor networks with non-trivial links ⋮ The difference between two random mixed quantum states: exact and asymptotic spectral analysis ⋮ A variational principle for ground spaces ⋮ Quantum marginals from pure doubly excited states ⋮ Projections of orbital measures and quantum marginal problems ⋮ Abelianization and the Duistermaat–Heckman theorem ⋮ Recoupling coefficients and quantum entropies ⋮ Asymptotic properties of entanglement polytopes for large number of qubits ⋮ Asymptotic performance of port-based teleportation ⋮ Calculating eigenvalues of many-body systems from partition functions ⋮ On an extension problem for density matrices ⋮ Dirac delta function of matrix argument ⋮ Plethysm and lattice point counting ⋮ Spectral density of mixtures of random density matrices for qubits ⋮ The joint distribution of the marginals of multipartite random quantum states ⋮ Volume of the set of locally diagonalizable bipartite states ⋮ A variant of Horn's problem and the derivative principle ⋮ Uncertainty regions of observables and state-independent uncertainty relations ⋮ Spectral statistics for the difference of two Wishart matrices ⋮ Membership in Moment Polytopes is in NP and coNP ⋮ Duistermaat–Heckman measure and the mixture of quantum states

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