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

Teh, R. Y.; Rosales-Zárate, L.; Drummond, Peter D.; Reid, M. D.

doi:10.1016/j.pquantelec.2022.100396

Cited by 6 publications

(4 citation statements)

References 455 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Bell example with cat states was presented because of the strength of the conclusions that follow from a Bell violation and because of the simplicity of the argument from a theoretical viewpoint. Other macroscopic realizations of quantum correlations can be considered, however [ 104 ]. This includes the continuous variable correlations of the Einstein–Podolsky–Rosen (EPR) paradox, which are measured by homodyne detection, with the measurement setting

being a phase shift [ 105 , 106 , 107 ].…”

Section: Discussionmentioning

confidence: 99%

Weak versus Deterministic Macroscopic Realism, and Einstein–Podolsky–Rosen’s Elements of Reality

Fulton,

Thenabadu,

Teh

et al. 2023

Entropy

Self Cite

View full text Add to dashboard Cite

The violation of a Leggett–Garg inequality confirms the incompatibility between quantum mechanics and the combined premises (called macro-realism) of macroscopic realism (MR) and noninvasive measurability (NIM). Arguments can be given that the incompatibility arises because MR fails for systems in a superposition of macroscopically distinct states—or else, that NIM fails. In this paper, we consider a strong negation of macro-realism, involving superpositions of coherent states, where the NIM premise is replaced by Bell’s locality premise. We follow recent work and propose the validity of a subset of Einstein–Podolsky–Rosen (EPR) and Leggett–Garg premises, referred to as weak macroscopic realism (wMR). In finding consistency with wMR, we identify that the Leggett–Garg inequalities are violated because of failure of both MR and NIM, but also that both are valid in a weaker (less restrictive) sense. Weak MR is distinguished from deterministic macroscopic realism (dMR) by recognizing that a measurement involves a reversible unitary interaction that establishes the measurement setting. Weak MR posits that a predetermined value for the outcome of a measurement can be attributed to the system after the interaction, when the measurement setting is experimentally specified. An extended definition of wMR considers the “element of reality” defined by EPR for system A, where one can predict with certainty the outcome of a measurement on A by performing a measurement on system B. Weak MR posits that this element of reality exists once the unitary interaction determining the measurement setting at B has occurred. We demonstrate compatibility of systems violating Leggett–Garg inequalities with wMR but point out that dMR has been shown to be falsifiable. Other tests of wMR are proposed, the predictions of wMR agreeing with quantum mechanics. Finally, we compare wMR with macro-realism models discussed elsewhere. An argument in favour of wMR is presented: wMR resolves a potential contradiction pointed out by Leggett and Garg between failure of macro-realism and assumptions intrinsic to quantum measurement theory.

show abstract

being a phase shift [ 105 , 106 , 107 ].…”

Section: Discussionmentioning

confidence: 99%

Weak versus Deterministic Macroscopic Realism, and Einstein–Podolsky–Rosen’s Elements of Reality

Fulton,

Thenabadu,

Teh

et al. 2023

Entropy

Self Cite

View full text Add to dashboard Cite

show abstract

“…Bell inequalities also exist for multi-partite systems such as in GHZ states [24] or for measurements at three different times as in the Leggett-Garg inequalities [25]. A recent review dealing with Bell correlations in macroscopic and mesoscopic systems is in [26] In the present paper we will be focused on the so-called CGLMP Bell inequatities [7,8] for bipartite systems.…”

Section: Quantum Entanglement and Epr Steering ?mentioning

confidence: 99%

Can quantum theory be underpinned by a non-local hidden variable theory?

Dalton

2024

Phys. Scr.

View full text Add to dashboard Cite

In this paper we consider the description by a general Bell-type non-local hidden variable theory of bipartite quantum states with two observables per sub-system. We derive Bell inequalities of the Collins-Gisin.-Liden-Massar-Popescu type which involve combinations of the probabilities of related outcomes for measurements for the four pairs of sub-system observables. It is shown that the corresponding quantum theory expressions violate the Bell inequalities in the case of the maximally entangled state of the bipartitite system. The CHSH Bell inequality is also derived from this general CGLMP Bell-type non-local hidden variable theory. This shows that quantum theory can not be underpinned by a Bell-type non-local hidden variable theory. So as a general Bell-type local hidden variable theory has already been shown to conflict with quantum theory, it follows that quantum theory can not be understood in terms of any CGLMP Bell-type hidden variable theory - local or non-local.

show abstract

“…Nonlocality, Bell inequalities and their applications were reviewed more in depth by Brunner et al [22], while Bell inequalities for mesoscopic and macroscopic systems were reviewed by Teh et al [77]. As this is outside of the scope of this work, the interested reader is directed to these references.…”

Section: Quantum Correlations 211 Bell Nonlocalitymentioning

confidence: 99%

Certification and applications of quantum nonlocal correlations

Piceno-Martínez,

Rosales-Zárate,

Ornelas-Cruces

2023

J. Phys. Photonics

View full text Add to dashboard Cite

Entanglement and Einstein-Podolsky-Rosen (EPR) steering are nonlocal quantum correlations, which are relevant resources for quantum information protocols. EPR steering, or quantum steering, refers to the correlation where a party might “steer”, or modify, the state of another, which is spatially separated. Entanglement is a symmetric resource while steering is asymmetrical, since it depends on the direction of the effect. Due to these different characteristics and the therefore different possible applications, there has been both theoretical and experimental research on forms to certify the distinct quantum nonlocal correlations. In recent years, alongside the investigation on quantum correlations between two systems, there has been a great interest in investigating multipartite/multimode entanglement as well as steering, since they include a high dimension and it may be possible to store more information than in a single qubit. In this review, we will summarize the different criteria and measures that have been developed for the characterization of these two kinds of correlations. We first focus on bipartite entanglement and steering. We then review the progress that has been made in the investigation of multipartite quantum correlations. We revise the theoretical work in quantum nonlocal correlation witnesses and measures, which respectively allow one to certify that the system is entangled or presents EPR steering, and give a quantification of the content of these correlations in the system. Then, we briefly review the experiments that have been designed and that demonstrate multipartite quantum correlations. We also include applications in quantum information protocols, in particular in quantum teleportation and quantum cryptography.

show abstract

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

Cited by 6 publications

References 455 publications

Weak versus Deterministic Macroscopic Realism, and Einstein–Podolsky–Rosen’s Elements of Reality

Weak versus Deterministic Macroscopic Realism, and Einstein–Podolsky–Rosen’s Elements of Reality

Can quantum theory be underpinned by a non-local hidden variable theory?

Certification and applications of quantum nonlocal correlations

Contact Info

Product

Resources

About