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

12 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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10.1007/s00220-016-2651-6

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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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AU - Carlen, Eric A.

AU - Lieb, Elliott H.

AU - Reuvers, Robin

PY - 2016/6/1

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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UR - https://www.scopus.com/pages/publications/84969766933#tab=citedBy

U2 - 10.1007/s00220-016-2651-6

DO - 10.1007/s00220-016-2651-6

M3 - Article

AN - SCOPUS:84969766933

SN - 0010-3616

VL - 344

SP - 655

EP - 671

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States

Abstract

All Science Journal Classification (ASJC) codes

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