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Entanglement and thermodynamics in general probabilistic theories

Chiribella, Giulio and Scandolo, Carlo Maria (2015) Entanglement and thermodynamics in general probabilistic theories. In: UNSPECIFIED.

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Abstract

Entanglement is one of the most striking features of quantum mechanics, and yet it is not specifically quantum. More specific to quantum mechanics is the connection between entanglement and thermodynamics, which leads to an identification between entropies and measures of pure state entanglement. Here we search for the roots of this connection, investigating the relation between entanglement and thermodynamics in the framework of general probabilistic theories. We first address the question whether an entangled state can be transformed into another by means of local operations and classical communication. Under two operational requirements, we prove a general version of the Lo-Popescu theorem, which lies at the foundations of the theory of pure-state entanglement. We then consider a resource theory of purity where free operations are random reversible transformations, modelling the scenario where an agent has limited control over the dynamics of a closed system. Our key result is a duality between the resource theory of entanglement and the resource theory of purity, valid for every physical theory where all processes arise from pure states and reversible interactions at the fundamental level. As an application of the main result, we establish a one-to-one correspondence between entropies and measures of pure bipartite entanglement and exploit it to define entanglement measures in the general probabilistic framework. In addition, we show a duality between the task of information erasure and the task of entanglement generation, whereby the existence of entropy sinks (systems that can absorb arbitrary amounts of information) becomes equivalent to the existence of entanglement sources (correlated systems from which arbitrary amounts of entanglement can be extracted).


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Chiribella, Giuliogiulio@cs.hku.hk
Scandolo, Carlo Mariacarlomaria.scandolo@cs.ox.ac.uk
Keywords: Foundations of quantum theory, entanglement, thermodynamics, general probabilistic theories
Subjects: Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Mr. Carlo Maria Scandolo
Date Deposited: 01 Feb 2016 03:34
Last Modified: 23 Jul 2016 18:19
Item ID: 11890
Journal or Publication Title: New Journal of Physics
DOI or Unique Handle: https://doi.org/10.1088/1367-2630/17/10/103027
Subjects: Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 14 October 2015
Page Range: p. 103027
Volume: 17
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/11890

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