Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator

The noncommutativity of position and momentum observables is a hallmark feature of quantum physics. However, this incompatibility does not extend to observables that are periodic in these base variables. Such modular-variable observables have been suggested as tools for fault-tolerant quantum comput...

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Autores principales:	C. Flühmann, V. Negnevitsky, M. Marinelli, J. P. Home
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2018
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/dd374ef18d0a46d3b59d7e04f7198e1e
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spelling	oai:doaj.org-article:dd374ef18d0a46d3b59d7e04f7198e1e2021-12-02T11:07:29ZSequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator10.1103/PhysRevX.8.0210012160-3308https://doaj.org/article/dd374ef18d0a46d3b59d7e04f7198e1e2018-04-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.8.021001http://doi.org/10.1103/PhysRevX.8.021001https://doaj.org/toc/2160-3308The noncommutativity of position and momentum observables is a hallmark feature of quantum physics. However, this incompatibility does not extend to observables that are periodic in these base variables. Such modular-variable observables have been suggested as tools for fault-tolerant quantum computing and enhanced quantum sensing. Here, we implement sequential measurements of modular variables in the oscillatory motion of a single trapped ion, using state-dependent displacements and a heralded nondestructive readout. We investigate the commutative nature of modular variable observables by demonstrating no-signaling in time between successive measurements, using a variety of input states. Employing a different periodicity, we observe signaling in time. This also requires wave-packet overlap, resulting in quantum interference that we enhance using squeezed input states. The sequential measurements allow us to extract two-time correlators for modular variables, which we use to violate a Leggett-Garg inequality. Signaling in time and Leggett-Garg inequalities serve as efficient quantum witnesses, which we probe here with a mechanical oscillator, a system that has a natural crossover from the quantum to the classical regime.C. FlühmannV. NegnevitskyM. MarinelliJ. P. HomeAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 8, Iss 2, p 021001 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 C. Flühmann V. Negnevitsky M. Marinelli J. P. Home Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator
description	The noncommutativity of position and momentum observables is a hallmark feature of quantum physics. However, this incompatibility does not extend to observables that are periodic in these base variables. Such modular-variable observables have been suggested as tools for fault-tolerant quantum computing and enhanced quantum sensing. Here, we implement sequential measurements of modular variables in the oscillatory motion of a single trapped ion, using state-dependent displacements and a heralded nondestructive readout. We investigate the commutative nature of modular variable observables by demonstrating no-signaling in time between successive measurements, using a variety of input states. Employing a different periodicity, we observe signaling in time. This also requires wave-packet overlap, resulting in quantum interference that we enhance using squeezed input states. The sequential measurements allow us to extract two-time correlators for modular variables, which we use to violate a Leggett-Garg inequality. Signaling in time and Leggett-Garg inequalities serve as efficient quantum witnesses, which we probe here with a mechanical oscillator, a system that has a natural crossover from the quantum to the classical regime.
format	article
author	C. Flühmann V. Negnevitsky M. Marinelli J. P. Home
author_facet	C. Flühmann V. Negnevitsky M. Marinelli J. P. Home
author_sort	C. Flühmann
title	Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator
title_short	Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator
title_full	Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator
title_fullStr	Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator
title_full_unstemmed	Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator
title_sort	sequential modular position and momentum measurements of a trapped ion mechanical oscillator
publisher	American Physical Society
publishDate	2018
url	https://doaj.org/article/dd374ef18d0a46d3b59d7e04f7198e1e
work_keys_str_mv	AT cfluhmann sequentialmodularpositionandmomentummeasurementsofatrappedionmechanicaloscillator AT vnegnevitsky sequentialmodularpositionandmomentummeasurementsofatrappedionmechanicaloscillator AT mmarinelli sequentialmodularpositionandmomentummeasurementsofatrappedionmechanicaloscillator AT jphome sequentialmodularpositionandmomentummeasurementsofatrappedionmechanicaloscillator
_version_	1718396258311208960

Sequential Modular Position and Momentum Measurements of a Trapped Ion Mechanical Oscillator

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