Classical images as quantum entanglement: An image processing analogy of the GHZ experiment

Goldin, Matías A.; Francisco, D.; Ledesma, Salvador

doi:10.1016/j.optcom.2010.12.057

Cited by 11 publications

(6 citation statements)

References 16 publications

(33 reference statements)

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“…A second way to encode two qubits in optical beams was proposed by Puentes et al [35] (a similar method to process optical beams was previously proposed by Caulfield and Shamir [36] and by Spreeuw and coworkers [37]) and found numerous applications in recent years [38][39][40][41][42]. The key idea is to encode two qubits in the transverse positions of four non-overlapping beams of light propagating along a common axis, say z.…”

Section: Position-position Entanglementmentioning

confidence: 99%

Quantum−like nonseparable structures in optical beams

et al. 2015

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When two or more degrees of freedom become coupled in a physical system, a number of observables of the latter cannot be represented by mathematical expressions separable with respect to the different degrees of freedom. In recent years it appeared clear that these expressions may display the same mathematical structures exhibited by multiparty entangled states in quantum mechanics. In this work, we investigate the occurrence of such structures in optical beams, a phenomenon that is often referred to as 'classical entanglement'. We present a unified theory for different kinds of light beams exhibiting classical entanglement and we indicate several possible extensions of the concept. Our results clarify and shed new light upon the physics underlying this intriguing aspect of classical optics.

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Section: Position-position Entanglementmentioning

confidence: 99%

Quantum−like nonseparable structures in optical beams

et al. 2015

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“…The recent trend [48,49] of the reimplementation of classical mechanics in particle optics using quantum particles is a clear testimony of the close relationship between quantum and classical mechanics. Some essential knowledge of quantum information theory is developed on the basis of classical-like wave properties, while the quantum nature of a physical system is unquestionable especially when nonlocal entanglement is concerned [50]. It may be the very common opinion that every new physical theory should not only precisely describe facts that cannot be covered by existing theories but must also reproduce the predictions of classical mechanics in an appropriate classical limit.…”

Section: Discussionmentioning

confidence: 99%

Classical Limit of Quantum Mechanics for Damped Driven Oscillatory Systems: Quantum–Classical Correspondence

Choi

2021

Front. Phys.

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The investigation of quantum–classical correspondence may lead to gaining a deeper understanding of the classical limit of quantum theory. I have developed a quantum formalism on the basis of a linear invariant theorem, which gives an exact quantum–classical correspondence for damped oscillatory systems perturbed by an arbitrary force. Within my formalism, the quantum trajectory and expectation values of quantum observables precisely coincide with their classical counterparts in the case where the global quantum constant ℏ has been removed from their quantum results. In particular, I have illustrated the correspondence of the quantum energy with the classical one in detail.

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“…The recent trend [29,30] of the re-implementation of classical mechanics in particle optics using quantum particles is a clear testimony of the close relationship between quantum and classical mechanics. Some essential knowledge of quantum information theory is developed on the basis of classical-like wave properties, while the quantum nature of a physical system is unquestionable especially when nonlocal entanglement is concerned [31]. It may be the very common opinion that every new physical theory should not only precisely describe facts that cannot be covered by existing theories, but must also reproduce the predictions of classical mechanics in an appropriate classical limit.…”

Section: Discussionmentioning

confidence: 99%

Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence

Choi¹

2020

Preprint

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The investigation of quantum-classical correspondence may lead to gain a deeper understanding of the classical limit of quantum theory. We develop a quantum formalism on the basis of a linearinvariant theorem, which gives an exact quantum-classical correspondence for damped oscillatory systems that are perturbed by an arbitrary force. Within our formalism, the quantum trajectory and expectation values of quantum observables are precisely coincide with their classical counterparts in the case where we remove the global quantum constant h from their quantum results. In particular, we illustrate the correspondence of the quantum energy with the classical one in detail.

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Classical images as quantum entanglement: An image processing analogy of the GHZ experiment

Cited by 11 publications

References 16 publications

Quantum−like nonseparable structures in optical beams

Quantum−like nonseparable structures in optical beams

Classical Limit of Quantum Mechanics for Damped Driven Oscillatory Systems: Quantum–Classical Correspondence

Classical limit of quantum mechanics for damped driven oscillatory systems: Quantum-classical correspondence

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