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Interpreting the macroscopic pointer by analysing the elements of reality of a Schrodinger cat

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journal contribution
posted on 2024-07-11, 08:42 authored by Margaret ReidMargaret Reid
We examine Einstein-Podolsky-Rosen's (EPR) steering nonlocality for two realisable Schrodinger cat-type states where a meso/macroscopic system (called the 'cat'-system) is entangled with a microscopic spin-1/2 system. We follow EPR's argument and derive the predictions for 'elements of reality' that would exist to describe the cat-system, under the assumption of EPR's local realism. By showing that those predictions cannot be replicated by any local quantum state description of the cat-system, we demonstrate the EPR-steering of the cat-system. For large cat-systems, we find that a local hidden state model is near-satisfied, meaning that a local quantum state description exists (for the cat) whose predictions differ from those of the elements of reality by a vanishingly small amount. For such a local hidden state model, the EPR-steering of the cat vanishes, and the cat-system can be regarded as being in a mixture of 'dead' and 'alive' states despite it being entangled with the spin system. We therefore propose that a rigorous signature of the Schrodinger cat-type paradox is the EPR-steering of the cat-system and provide two experimental signatures. This leads to a hybrid quantum/classical interpretation of the macroscopic pointer of a measurement device and suggests that many Schrodinger cat-type paradoxes may be explained by microscopic nonlocality.

Funding

ARC | DP140104584

History

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ISSN

1751-8113

Journal title

Journal of Physics A: Mathematical and Theoretical

Volume

50

Issue

41

Article number

article no. 41LT01

Pagination

41lt01-

Publisher

Institute of Physics Publishing Ltd.

Copyright statement

Copyright © 2017 IOP Publishing Ltd.

Language

eng

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