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

Department of Mathematical Sciences

2 Citations (Scopus)

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
Journal	Communications in Mathematical Physics
Volume	344
Issue number	3
Pages (from-to)	655-671
ISSN	0010-3616
DOIs	https://doi.org/10.1007/s00220-016-2651-6
Publication status	Published - 1 Jun 2016

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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 intuitionprecise we investigate entropy and entanglement of fermionic states and prove someextremal and near extremal properties of reduced density matrices of Slater determinantalstates.",

author = "Carlen, {Eric A.} and Lieb, {Elliott H.} and Robin Reuvers",

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AU - Lieb, Elliott H.

AU - Reuvers, Robin

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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 intuitionprecise we investigate entropy and entanglement of fermionic states and prove someextremal and near extremal properties of reduced density matrices of Slater determinantalstates.

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

U2 - 10.1007/s00220-016-2651-6

DO - 10.1007/s00220-016-2651-6

M3 - Journal article

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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

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