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Trapped Ion Quantum Computing

A non-Hermitian loop for a quantum measurement

arXiv
Authors: Luis E. F. Foa Torres, Stephan Roche

Year

2024

Paper ID

64450

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger's equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions. This perspective opens a way to simulate quantum measurements in classical systems that up to now were restricted to the Schrödinger part of the quantum dynamics.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger's equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2408.04629 [2] arXiv https://arxiv.org/abs/2408.04629 [3] Publisher https://arxiv.org/abs/2408.04629

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