Operational quantification of continuous-variable quantum resources

The diverse range of resources which underlie the utility of quantum states in practical tasks motivates the development of universally applicable methods to measure and compare resources of different types. However, many of such approaches were hitherto limited to the finite-dimensional setting or...

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Main Authors: Regula, Bartosz, Lami, Ludovico, Ferrari, Giovanni, Takagi, Ryuji
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/153665
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spelling sg-ntu-dr.10356-1536652023-02-28T19:52:58Z Operational quantification of continuous-variable quantum resources Regula, Bartosz Lami, Ludovico Ferrari, Giovanni Takagi, Ryuji School of Physical and Mathematical Sciences Science::Physics Entanglement States The diverse range of resources which underlie the utility of quantum states in practical tasks motivates the development of universally applicable methods to measure and compare resources of different types. However, many of such approaches were hitherto limited to the finite-dimensional setting or were not connected with operational tasks. We overcome this by introducing a general method of quantifying resources for continuous-variable quantum systems based on the robustness measure, applicable to a plethora of physically relevant resources such as optical nonclassicality, entanglement, genuine non-Gaussianity, and coherence. We demonstrate in particular that the measure has a direct operational interpretation as the advantage enabled by a given state in a class of channel discrimination tasks. We show that the robustness constitutes a well-behaved, bona fide resource quantifier in any convex resource theory, contrary to a related negativity-based measure known as the standard robustness. Furthermore, we show the robustness to be directly observable-it can be computed as the expectation value of a single witness operator-and establish general methods for evaluating the measure. Explicitly applying our results to the relevant resources, we demonstrate the exact computability of the robustness for several classes of states. Ministry of Education (MOE) Nanyang Technological University National Research Foundation (NRF) Published version B. R. is supported by the Presidential Postdoctoral Fellowship from Nanyang Technological University, Singapore. L. L. is supported by the ERC Synergy Grant BIOQ (Grant No. 319130) and by the Alexander von Humboldt Foundation. G. F. acknowledges the support received from the EU through the ERASMUS þ Traineeship program and from the Scuola Galileiana di Studi Superiori. R. T. acknowledges the support of NSF, ARO, IARPA, AFOSR, the Takenaka Scholarship Foundation, and the National Research Foundation (NRF) Singapore, under its NRFF Fellow programme (Grant No. NRF-NRFF2016-02) and the Singapore Ministry of Education Tier 1 Grant No. 2019-T1-002-015. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not reflect the views of National Research Foundation, Singapore. 2022-01-07T03:17:09Z 2022-01-07T03:17:09Z 2021 Journal Article Regula, B., Lami, L., Ferrari, G. & Takagi, R. (2021). Operational quantification of continuous-variable quantum resources. Physical Review Letters, 126(11), 110403-. https://dx.doi.org/10.1103/PhysRevLett.126.110403 0031-9007 https://hdl.handle.net/10356/153665 10.1103/PhysRevLett.126.110403 33798371 2-s2.0-85103084884 11 126 110403 en NRF-NRFF2016-02 2019-T1-002-015 Physical Review Letters © 2021. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Entanglement
States
spellingShingle Science::Physics
Entanglement
States
Regula, Bartosz
Lami, Ludovico
Ferrari, Giovanni
Takagi, Ryuji
Operational quantification of continuous-variable quantum resources
description The diverse range of resources which underlie the utility of quantum states in practical tasks motivates the development of universally applicable methods to measure and compare resources of different types. However, many of such approaches were hitherto limited to the finite-dimensional setting or were not connected with operational tasks. We overcome this by introducing a general method of quantifying resources for continuous-variable quantum systems based on the robustness measure, applicable to a plethora of physically relevant resources such as optical nonclassicality, entanglement, genuine non-Gaussianity, and coherence. We demonstrate in particular that the measure has a direct operational interpretation as the advantage enabled by a given state in a class of channel discrimination tasks. We show that the robustness constitutes a well-behaved, bona fide resource quantifier in any convex resource theory, contrary to a related negativity-based measure known as the standard robustness. Furthermore, we show the robustness to be directly observable-it can be computed as the expectation value of a single witness operator-and establish general methods for evaluating the measure. Explicitly applying our results to the relevant resources, we demonstrate the exact computability of the robustness for several classes of states.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Regula, Bartosz
Lami, Ludovico
Ferrari, Giovanni
Takagi, Ryuji
format Article
author Regula, Bartosz
Lami, Ludovico
Ferrari, Giovanni
Takagi, Ryuji
author_sort Regula, Bartosz
title Operational quantification of continuous-variable quantum resources
title_short Operational quantification of continuous-variable quantum resources
title_full Operational quantification of continuous-variable quantum resources
title_fullStr Operational quantification of continuous-variable quantum resources
title_full_unstemmed Operational quantification of continuous-variable quantum resources
title_sort operational quantification of continuous-variable quantum resources
publishDate 2022
url https://hdl.handle.net/10356/153665
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