5–11 Jun 2022
McMaster University
America/Toronto timezone
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(G*) Locality in quasi-Hermitian quantum theory

8 Jun 2022, 11:15
15m
MDCL 1008 (McMaster University)

MDCL 1008

McMaster University

Oral Competition (Graduate Student) / Compétition orale (Étudiant(e) du 2e ou 3e cycle) Theoretical Physics / Physique théorique (DTP-DPT) W1-2 Quantum Theory (DTP) | Théorie quantique (DPT)

Speaker

Jacob Barnett

Description

Quasi-Hermitian quantum theory generalizes quantum theory while preserving unitarity and the reality of expectation values. Unitarity is defined with respect to a new inner product, associated to a positive definite operator referred to as the metric.

In general, the metric operator can be an entangled operator. Thus, it's natural to ask whether quasi-Hermitian systems with a notion of locality have nontrivial physics.

Due to entanglement, quantum theories contain correlations not present in classical systems. The value of nonlocal games is used to quantify the strength of such correlations. As an example, the Bell inequality can be realized as the classical value of the CHSH game. We demonstrate quasi-Hermiticity can not increase the value of a nonlocal game.

Primary author

Jacob Barnett

Presentation materials

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