Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States

Eric A. Carlen; Elliott H. Lieb; Robin Reuvers

doi:10.1007/s00220-016-2651-6

Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States

Eric A. Carlen, Elliott H. Lieb, Robin Reuvers

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Unlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we investigate entropy and entanglement of fermionic states and prove some extremal and near extremal properties of reduced density matrices of Slater determinantal states.

Original language	English (US)
Pages (from-to)	655-671
Number of pages	17
Journal	Communications In Mathematical Physics
Volume	344
Issue number	3
DOIs	https://doi.org/10.1007/s00220-016-2651-6
State	Published - Jun 1 2016

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States",

abstract = "Unlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we investigate entropy and entanglement of fermionic states and prove some extremal and near extremal properties of reduced density matrices of Slater determinantal states.",

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Y1 - 2016/6/1

N2 - Unlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we investigate entropy and entanglement of fermionic states and prove some extremal and near extremal properties of reduced density matrices of Slater determinantal states.

AB - Unlike bosons, fermions always have a non-trivial entanglement. Intuitively, Slater determinantal states should be the least entangled states. To make this intuition precise we investigate entropy and entanglement of fermionic states and prove some extremal and near extremal properties of reduced density matrices of Slater determinantal states.

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Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States

Abstract

All Science Journal Classification (ASJC) codes

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