Spin-entanglement wave in a coarse-grained optical lattice

Correia, Pedro Silva; Melo, Fernando de

doi:10.1103/physreva.100.022334

Cited by 16 publications

(13 citation statements)

References 29 publications

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“…Although artificial at a first sight, the description adopted in [13] turns out to be a mathematically rigorous toy model for coarse-graining. It might be applied to more complex scenarios [17], and -as we will see later on-is valid not only in the quantum case, but also in its classical counterpart.…”

Section: A Quantum Casementioning

confidence: 95%

Investigating Coarse-Grainings and Emergent Quantum Dynamics with Four Mathematical Perspectives

Duarte¹,

Amaral²,

Cunha³

et al. 2020

Preprint

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Section: A Quantum Casementioning

confidence: 95%

Investigating Coarse-Grainings and Emergent Quantum Dynamics with Four Mathematical Perspectives

Duarte¹,

Amaral²,

Cunha³

et al. 2020

Preprint

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“…The effect of coarse-graining has been analyzed in the context of other quantum signatures, such as quantum coherence [265,266], quantum entanglement [267,268] and entropic uncertainty relations [269]. In particular, Wang et al examined the impact of coarse-graining and imprecise measurement on the coherence of the cat state |ψ ∼ |α + i| − α , where α is real [265].…”

Section: Coarse-graining and Decoherencementioning

confidence: 99%

Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems

Teh¹,

Rosales-Zárate²,

Drummond³

et al. 2021

Preprint

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This paper reviews the progress that has been made in our knowledge of quantum correlations at the mesoscopic and macroscopic level. We begin by summarizing the Einstein-Podolsky-Rosen (EPR) argument and the Bell correlations that cannot be explained by local hidden variable theories. It was originally an open question as to whether (and how) such quantum correlations could occur on a macroscopic scale, since this would seem to counter the correspondence principle. The purpose of this review is to examine how this question has been answered over the decades since the original papers of EPR and Bell. We first review work relating to higher spin measurements which revealed that macroscopic quantum states could exhibit Bell correlations. This covers higher dimensional, multi-particle and continuous-variable EPR and Bell states where measurements on a single system give a spectrum of outcomes, and also multipartite states where measurements are made at multiple separated sites. It appeared that the macroscopic quantum observations were for an increasingly limited span of measurement settings and required a fine resolution of outcomes. Motivated by this, we next review correlations for macroscopic superposition states, and examine predictions for the violation of Leggett-Garg inequalities for dynamical quantum systems. These results reveal Bell correlations for coarse-grained measurements which need only distinguish between macroscopically distinct states, thus bringing into question the validity of certain forms of macroscopic realism. Finally, we review progress for massive systems, including Bose-Einstein condensates and optomechanical oscillators, where EPR-type correlations have been observed between massive systems. Experiments are summarized, which support the predictions of quantum mechanics in mesoscopic regimes.

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“…As quantum channels preserve the Hermiticity, the action on the Hermitian conjugated terms can be apprehended from (9). Further discussions on this map, and its action on two-particle subspace can be found in [12,24].…”

Section: Coarse-graining a 1d Puqcamentioning

confidence: 99%

Quantum walks via quantum cellular automata

Costa

Portugal

Melo

2018

Quantum Inf Process

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Very much as its classical counterpart, quantum cellular automata are expected to be a great tool for simulating complex quantum systems. Here we introduce a partitioned model of quantum cellular automata and show how it can simulate, with the same amount of resources (in terms of effective Hilbert space dimension), various models of quantum walks. All the algorithms developed within quantum walk models are thus directly inherited by the quantum cellular automata. The latter, however, has its structure based on local interactions between qubits, and as such it can be more suitable for present (and future) experimental implementations.

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Spin-entanglement wave in a coarse-grained optical lattice

Cited by 16 publications

References 29 publications

Investigating Coarse-Grainings and Emergent Quantum Dynamics with Four Mathematical Perspectives

Investigating Coarse-Grainings and Emergent Quantum Dynamics with Four Mathematical Perspectives

Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems

Quantum walks via quantum cellular automata

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