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A Macroscopic Quantum Three-Box Paradox: Finding Consistency with Weak Macroscopic Realism.
Hatharasinghe, Channa; Thenabadu, Manushan; Drummond, Peter D; Reid, Margaret D.
Afiliação
  • Hatharasinghe C; Center for Quantum Science and Technology Theory, Swinburne University of Technology, Melbourne 3122, Australia.
  • Thenabadu M; Center for Quantum Science and Technology Theory, Swinburne University of Technology, Melbourne 3122, Australia.
  • Drummond PD; Center for Quantum Science and Technology Theory, Swinburne University of Technology, Melbourne 3122, Australia.
  • Reid MD; Center for Quantum Science and Technology Theory, Swinburne University of Technology, Melbourne 3122, Australia.
Entropy (Basel) ; 25(12)2023 Dec 04.
Article em En | MEDLINE | ID: mdl-38136500
ABSTRACT
The quantum three-box paradox considers a ball prepared in a superposition of being in any one of three boxes. Bob makes measurements by opening either box 1 or box 2. After performing some unitary operations (shuffling), Alice can infer with certainty that the ball was detected by Bob, regardless of which box he opened, if she detects the ball after opening box 3. The paradox is that the ball would have been found with certainty by Bob in either box if that box had been opened. Resolutions of the paradox include that Bob's measurement cannot be made non-invasively or else that realism cannot be assumed at the quantum level. Here, we strengthen the case for the former argument by constructing macroscopic versions of the paradox. Macroscopic realism implies that the ball is in one of the boxes prior to Bob or Alice opening any boxes. We demonstrate the consistency of the paradox with macroscopic realism, if carefully defined (as weak macroscopic realism, wMR) to apply to the system at the times prior to Alice or Bob opening any boxes but after the unitary operations associated with preparation or shuffling. By solving for the dynamics of the unitary operations and comparing with mixed states, we demonstrate agreement between the predictions of wMR and quantum mechanics the paradox only manifests if Alice's shuffling combines both local operations (on box 3) and nonlocal operations, on the other boxes. Following previous work, the macroscopic paradox is shown to correspond to a violation of a Leggett-Garg inequality, which implies failure of non-invasive measurability if wMR holds.
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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Ano de publicação: 2023 Tipo de documento: Article

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Ano de publicação: 2023 Tipo de documento: Article