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- W3099693325 abstract "Given a random quantum state of multiple distinguishable or indistinguishable particles, we provide an effective method, rooted in symplectic geometry, to compute the joint probability distribution of the eigenvalues of its one-body reduced density matrices. As a corollary, by taking the distribution’s support, which is a convex moment polytope, we recover a complete solution to the one-body quantum marginal problem. We obtain the probability distribution by reducing to the corresponding distribution of diagonal entries (i.e., to the quantitative version of a classical marginal problem), which is then determined algorithmically. This reduction applies more generally to symplectic geometry, relating invariant measures for the coadjoint action of a compact Lie group to their projections onto a Cartan subalgebra, and can also be quantized to provide an efficient algorithm for computing bounded height Kronecker and plethysm coefficients." @default.
- W3099693325 created "2020-11-23" @default.
- W3099693325 creator A5006329724 @default.
- W3099693325 creator A5016087422 @default.
- W3099693325 creator A5020174574 @default.
- W3099693325 creator A5029184286 @default.
- W3099693325 date "2014-08-19" @default.
- W3099693325 modified "2023-10-17" @default.
- W3099693325 title "Eigenvalue Distributions of Reduced Density Matrices" @default.
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- W3099693325 doi "https://doi.org/10.1007/s00220-014-2144-4" @default.
- W3099693325 hasPublicationYear "2014" @default.
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