Robustness of coherence: an operational and observable measure of quantum coherence

Napoli, Carmine and Bromley, Thomas R. and Cianciaruso, Marco and Piani, Marco and Johnston, Nathaniel and Adesso, Gerardo (2016) Robustness of coherence: an operational and observable measure of quantum coherence. Physical Review Letters, 116 . 150502/1-150502/6. ISSN 1079-7114

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Abstract

Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it can be recast as the expectation value of a coherence witness operator for any quantum state. The robustness of coherence is evaluated analytically on relevant classes of states, and an efficient semidefinite program that computes it on general states is given. An operational interpretation is finally provided: the robustness of coherence quantifies the advantage enabled by a quantum state in a phase discrimination task.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevLett.116.150502
Related URLs:
Depositing User: Adesso, Gerardo
Date Deposited: 24 Feb 2017 09:04
Last Modified: 13 Oct 2017 01:43
URI: http://eprints.nottingham.ac.uk/id/eprint/40793

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