Measuring coherence of quantum measurements

The superposition of quantum states lies at the heart of physics and has been recently found to serve as a versatile resource for quantum information protocols, defining the notion of quantum coherence. In this contribution, we report on the implementation of its complementary concept, coherence fro...

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Main Authors: Valeria Cimini, Ilaria Gianani, Marco Sbroscia, Jan Sperling, Marco Barbieri
Format: Article
Language:English
Published: American Physical Society 2019-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.033020
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author Valeria Cimini
Ilaria Gianani
Marco Sbroscia
Jan Sperling
Marco Barbieri
author_facet Valeria Cimini
Ilaria Gianani
Marco Sbroscia
Jan Sperling
Marco Barbieri
author_sort Valeria Cimini
collection DOAJ
description The superposition of quantum states lies at the heart of physics and has been recently found to serve as a versatile resource for quantum information protocols, defining the notion of quantum coherence. In this contribution, we report on the implementation of its complementary concept, coherence from quantum measurements. By devising an accessible criterion which holds true in any classical statistical theory, we demonstrate that noncommutative quantum measurements violate this constraint, rendering it possible to perform an operational assessment of the measurement-based quantum coherence. In particular, we verify that polarization measurements of a single photonic qubit, an essential carrier of one unit of quantum information, are already incompatible with classical, i.e., incoherent, models of a measurement apparatus. Thus, we realize a method that enables us to quantitatively certify which quantum measurements follow fundamentally different statistical laws than expected from classical theories and, at the same time, quantify their usefulness within the modern framework of resources for quantum information technology.
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spelling doaj.art-77b9f92017644d2ca347da598230742f2024-04-12T16:46:04ZengAmerican Physical SocietyPhysical Review Research2643-15642019-10-011303302010.1103/PhysRevResearch.1.033020Measuring coherence of quantum measurementsValeria CiminiIlaria GiananiMarco SbrosciaJan SperlingMarco BarbieriThe superposition of quantum states lies at the heart of physics and has been recently found to serve as a versatile resource for quantum information protocols, defining the notion of quantum coherence. In this contribution, we report on the implementation of its complementary concept, coherence from quantum measurements. By devising an accessible criterion which holds true in any classical statistical theory, we demonstrate that noncommutative quantum measurements violate this constraint, rendering it possible to perform an operational assessment of the measurement-based quantum coherence. In particular, we verify that polarization measurements of a single photonic qubit, an essential carrier of one unit of quantum information, are already incompatible with classical, i.e., incoherent, models of a measurement apparatus. Thus, we realize a method that enables us to quantitatively certify which quantum measurements follow fundamentally different statistical laws than expected from classical theories and, at the same time, quantify their usefulness within the modern framework of resources for quantum information technology.http://doi.org/10.1103/PhysRevResearch.1.033020
spellingShingle Valeria Cimini
Ilaria Gianani
Marco Sbroscia
Jan Sperling
Marco Barbieri
Measuring coherence of quantum measurements
Physical Review Research
title Measuring coherence of quantum measurements
title_full Measuring coherence of quantum measurements
title_fullStr Measuring coherence of quantum measurements
title_full_unstemmed Measuring coherence of quantum measurements
title_short Measuring coherence of quantum measurements
title_sort measuring coherence of quantum measurements
url http://doi.org/10.1103/PhysRevResearch.1.033020
work_keys_str_mv AT valeriacimini measuringcoherenceofquantummeasurements
AT ilariagianani measuringcoherenceofquantummeasurements
AT marcosbroscia measuringcoherenceofquantummeasurements
AT jansperling measuringcoherenceofquantummeasurements
AT marcobarbieri measuringcoherenceofquantummeasurements