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Information 2012, 3(4), 809-831; doi:10.3390/info3040809

Implementation of Classical Communication in a Quantum World

815 East Palace # 14, Santa Fe, NM 87501, USA
Received: 11 July 2012 / Revised: 31 October 2012 / Accepted: 6 December 2012 / Published: 13 December 2012
(This article belongs to the Section Information Theory and Methodology)
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Abstract

Observations of quantum systems carried out by finite observers who subsequently communicate their results using classical data structures can be described as “local operations, classical communication” (LOCC) observations. The implementation of LOCC observations by the Hamiltonian dynamics prescribed by minimal quantum mechanics is investigated. It is shown that LOCC observations cannot be described using decoherence considerations alone, but rather require the a priori stipulation of a positive operator-valued measure (POVM) about which communicating observers agree. It is also shown that the transfer of classical information from system to observer can be described in terms of system-observer entanglement, raising the possibility that an apparatus implementing an appropriate POVM can reveal the entangled system-observer states that implement LOCC observations.
Keywords: decoherence; einselection; emergence; entanglement; quantum-to-classical transition; virtual machines decoherence; einselection; emergence; entanglement; quantum-to-classical transition; virtual machines
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Fields, C. Implementation of Classical Communication in a Quantum World. Information 2012, 3, 809-831.

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