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Leggett-Garg inequality violations with a large ensemble of qubits

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Lambert, Neill, Debnath, Kamanasish, Kockum, Anton Frisk, Knee, George C., Munro, William J. and Nori, Franco (2016) Leggett-Garg inequality violations with a large ensemble of qubits. Physical Review A, 94 . 012105.

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Official URL: https://doi.org/10.1103/PhysRevA.94.012105

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Abstract

We investigate how discrete internal degrees of freedom in a quasimacroscopic system affect the violation of the Leggett-Garg inequality, a test of macroscopic realism based on temporal correlation functions. As a specific example, we focus on an ensemble of qubits subject to collective and individual noise. This generic model can describe a range of physical systems, including atoms in cavities, electron or nuclear spins in nitrogen-vacancy (NV) centers in diamond, erbium in Y2SiO5, bismuth impurities in silicon, or arrays of superconducting circuits, to indicate but a few. Such large ensembles are potentially more macroscopic than other systems that have been used so far for testing the Leggett-Garg inequality and open a route toward probing the boundaries of quantum mechanics at macroscopic scales. We find that, because of the nontrivial internal structure of such an ensemble, the behavior of different measurement schemes, under the influence of noise, can be surprising. We discuss which measurement schemes are optimal for flux qubits and NV centers, and some of the technological constraints and difficulties for observing such violations with present-day experiments.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Quantum theory., Physics.
Journal or Publication Title: Physical Review A
Publisher: American Physical Society
ISSN: 1050-2947
Official Date: 5 July 2016
Dates:
DateEvent
5 July 2016Published
7 June 2016Accepted
19 April 2016Submitted
Volume: 94
Article Number: 012105
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: RIKEN iTHES Project, MURI Center for Dynamic Magneto-Optics , IMPACT program of JST, Grant-in-Aid for Scientific Research (A), FY2015 Incentive Research Project, JSPS Postdoctoral Fellowship for Overseas Researchers, Royal Commission for the Exhibition of 1851, RIKEN-IPA program, John Templeton Foundation
Grant number: FA9550-14-1-0040

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