Maximal entanglement versus entropy for mixed quantum states

Tzu Chieh Wei; Kae Nemoto; Paul M. Goldbart; Paul G. Kwiat; William J. Munro; Frank Verstraete

Maximal entanglement versus entropy for mixed quantum states

Tzu Chieh Wei
, Kae Nemoto
, Paul M. Goldbart
, Paul G. Kwiat
, William J. Munro
, Frank Verstraete

Bangor University
University of Illinois at Urbana-Champaign
Hewlett-Packard
Ghent University

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

249 Scopus citations

Abstract

Families of maximally entangled mixed states (MEMS) were determined. Various measures of entanglement and mixedness were considered. It was found that the form of the MEMS depends heavily on the measures used. Certain classes of frontier states behave discontinuously at a specific point on the entanglement-mixedness frontier. Under most of the settings considered, analytical forms were explicitly derived for the frontier states. In the cases of entanglement of formation and relative entropy, for most values of mixedness, it was observed that the rank-2 and rank-3 MEMS have more entanglement than Werner states do.

Original language	English
Article number	022110
Pages (from-to)	022110/1-022110/12
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	67
Issue number	2
State	Published - Feb 2003

Cite this

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abstract = "Families of maximally entangled mixed states (MEMS) were determined. Various measures of entanglement and mixedness were considered. It was found that the form of the MEMS depends heavily on the measures used. Certain classes of frontier states behave discontinuously at a specific point on the entanglement-mixedness frontier. Under most of the settings considered, analytical forms were explicitly derived for the frontier states. In the cases of entanglement of formation and relative entropy, for most values of mixedness, it was observed that the rank-2 and rank-3 MEMS have more entanglement than Werner states do.",

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AU - Wei, Tzu Chieh

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AU - Goldbart, Paul M.

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AU - Munro, William J.

AU - Verstraete, Frank

PY - 2003/2

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N2 - Families of maximally entangled mixed states (MEMS) were determined. Various measures of entanglement and mixedness were considered. It was found that the form of the MEMS depends heavily on the measures used. Certain classes of frontier states behave discontinuously at a specific point on the entanglement-mixedness frontier. Under most of the settings considered, analytical forms were explicitly derived for the frontier states. In the cases of entanglement of formation and relative entropy, for most values of mixedness, it was observed that the rank-2 and rank-3 MEMS have more entanglement than Werner states do.

AB - Families of maximally entangled mixed states (MEMS) were determined. Various measures of entanglement and mixedness were considered. It was found that the form of the MEMS depends heavily on the measures used. Certain classes of frontier states behave discontinuously at a specific point on the entanglement-mixedness frontier. Under most of the settings considered, analytical forms were explicitly derived for the frontier states. In the cases of entanglement of formation and relative entropy, for most values of mixedness, it was observed that the rank-2 and rank-3 MEMS have more entanglement than Werner states do.

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M3 - Article

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JF - Physical Review A - Atomic, Molecular, and Optical Physics

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ER -

Maximal entanglement versus entropy for mixed quantum states

Abstract

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