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

Carmine Napoli, Thomas R. Bromley, Marco Cianciaruso, Marco Piani, Nathaniel Johnston, Gerardo Adesso

Research output: Contribution to journalLetter

71 Citations (Scopus)

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 ecient 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.
LanguageEnglish
Article number150502
Number of pages6
JournalPhysical Review Letters
Volume116
Issue number15
DOIs
Publication statusPublished - 12 Apr 2016

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discrimination
resources
operators

Keywords

  • quantum coherence
  • quantifying coherence
  • phase discrimination task

Cite this

Napoli, C., Bromley, T. R., Cianciaruso, M., Piani, M., Johnston, N., & Adesso, G. (2016). Robustness of coherence: an operational and observable measure of quantum coherence. Physical Review Letters, 116(15), [150502]. https://doi.org/10.1103/PhysRevLett.116.150502
Napoli, Carmine ; Bromley, Thomas R. ; Cianciaruso, Marco ; Piani, Marco ; Johnston, Nathaniel ; Adesso, Gerardo. / Robustness of coherence : an operational and observable measure of quantum coherence. In: Physical Review Letters. 2016 ; Vol. 116, No. 15.
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Napoli, C, Bromley, TR, Cianciaruso, M, Piani, M, Johnston, N & Adesso, G 2016, 'Robustness of coherence: an operational and observable measure of quantum coherence' Physical Review Letters, vol. 116, no. 15, 150502. https://doi.org/10.1103/PhysRevLett.116.150502

Robustness of coherence : an operational and observable measure of quantum coherence. / Napoli, Carmine; Bromley, Thomas R.; Cianciaruso, Marco; Piani, Marco; Johnston, Nathaniel; Adesso, Gerardo.

In: Physical Review Letters, Vol. 116, No. 15, 150502, 12.04.2016.

Research output: Contribution to journalLetter

TY - JOUR

T1 - Robustness of coherence

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AU - Napoli, Carmine

AU - Bromley, Thomas R.

AU - Cianciaruso, Marco

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AU - Johnston, Nathaniel

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