A new inequality for the von Neumann entropy

N Linden; AJ Winter

doi:10.1007/s00220-005-1361-2

A new inequality for the von Neumann entropy

N Linden
, AJ Winter

Research output: Contribution to journal › Article (Academic Journal) › peer-review

50 Citations (Scopus)

Abstract

Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of quantum coding theory. All other known inequalities for entropies of quantum systems may be derived from it. Here we prove a new inequality for the von Neumann entropy which we prove is independent of strong subadditivity: it is an inequality which is true for any four party quantum state, provided that it satisfies three linear relations (constraints) on the entropies of certain reduced states. resources are needed even if entanglement is prese

Translated title of the contribution	A new inequality for the von Neumann entropy
Original language	English
Pages (from-to)	129 - 138
Number of pages	10
Journal	Communications in Mathematical Physics
Volume	259 (1)
DOIs	https://doi.org/10.1007/s00220-005-1361-2
Publication status	Published - Oct 2005

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Publisher: Springer
Other identifier: IDS Number: 951AE

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10.1007/s00220-005-1361-2

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title = "A new inequality for the von Neumann entropy",

abstract = "Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of quantum coding theory. All other known inequalities for entropies of quantum systems may be derived from it. Here we prove a new inequality for the von Neumann entropy which we prove is independent of strong subadditivity: it is an inequality which is true for any four party quantum state, provided that it satisfies three linear relations (constraints) on the entropies of certain reduced states. resources are needed even if entanglement is prese",

author = "N Linden and AJ Winter",

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doi = "10.1007/s00220-005-1361-2",

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AU - Linden, N

AU - Winter, AJ

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PY - 2005/10

Y1 - 2005/10

N2 - Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of quantum coding theory. All other known inequalities for entropies of quantum systems may be derived from it. Here we prove a new inequality for the von Neumann entropy which we prove is independent of strong subadditivity: it is an inequality which is true for any four party quantum state, provided that it satisfies three linear relations (constraints) on the entropies of certain reduced states. resources are needed even if entanglement is prese

AB - Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of quantum coding theory. All other known inequalities for entropies of quantum systems may be derived from it. Here we prove a new inequality for the von Neumann entropy which we prove is independent of strong subadditivity: it is an inequality which is true for any four party quantum state, provided that it satisfies three linear relations (constraints) on the entropies of certain reduced states. resources are needed even if entanglement is prese

U2 - 10.1007/s00220-005-1361-2

DO - 10.1007/s00220-005-1361-2

M3 - Article (Academic Journal)

SN - 1432-0916

VL - 259 (1)

SP - 129

EP - 138

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

ER -

A new inequality for the von Neumann entropy

Abstract

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