Uniqueness of the Entanglement Measure for Bipartite Pure States and Thermodynamics

Vlatko Vedral; Elham Kashefi

doi:10.1103/PhysRevLett.89.037903

Uniqueness of the Entanglement Measure for Bipartite Pure States and Thermodynamics

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Abstract

We apply the axiomatic approach to thermodynamics presented by Giles to derive a unique measure of entanglement for bipartite pure states. This implies that local manipulations of entanglement in quantum information theory and adiabatic transformations of states in thermodynamics have the same underlying mathematical structure. We discuss possible extensions of our results to mixed and multipartite states.

Original language	English
Pages (from-to)	37903
Journal	Physical Review Letters
Volume	89
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.89.037903
Publication status	Published - 1 Jun 2002

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10.1103/PhysRevLett.89.037903

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.89.037903

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abstract = "We apply the axiomatic approach to thermodynamics presented by Giles to derive a unique measure of entanglement for bipartite pure states. This implies that local manipulations of entanglement in quantum information theory and adiabatic transformations of states in thermodynamics have the same underlying mathematical structure. We discuss possible extensions of our results to mixed and multipartite states.",

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AB - We apply the axiomatic approach to thermodynamics presented by Giles to derive a unique measure of entanglement for bipartite pure states. This implies that local manipulations of entanglement in quantum information theory and adiabatic transformations of states in thermodynamics have the same underlying mathematical structure. We discuss possible extensions of our results to mixed and multipartite states.

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