Dependence of measurement outcomes on the dynamics of quantum coherent
interactions between the system and the meter
- URL: http://arxiv.org/abs/2209.00751v3
- Date: Fri, 7 Jul 2023 06:18:50 GMT
- Title: Dependence of measurement outcomes on the dynamics of quantum coherent
interactions between the system and the meter
- Authors: Tomonori Matsushita and Holger F. Hofmann
- Abstract summary: We show that the values of physical properties obtained in quantum measurements originate from the quantum coherent system dynamics associated with the back-action on the system.
Measurement outcomes represent elements of the dynamics and cannot be explained by measurement independent elements of reality.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Information about the internal properties of a system can only be obtained
through interactions of the system with an external meter. However, such
interactions generally result in entanglement between the system and the meter,
making it difficult to trace the measurement result back to a specific value of
the physical property in the system. It is therefore possible that the outcomes
of quantum measurements depend in a non-trivial manner on the dynamics of the
measurement interaction, possibly providing a physical explanation for the role
of measurement contexts in quantum mechanics. Here, we show that the effects of
the measurement interaction on the meter can be described entirely in terms of
the quantum coherent system dynamics associated with the back-action on the
system. For sufficiently small back-action uncertainties, the physical property
of the system is described by a weak value obtained from the Hamilton-Jacobi
equation of the back-action dynamics. At higher measurement resolutions, the
observed values are determined by quantum interferences between different
amounts of back-action. Eigenvalues emerge when the quantum interferences
between different back-actions correspond to a Fourier transform in the
back-action parameter. We conclude that the values of physical properties
obtained in quantum measurements originate from the quantum coherent properties
of the back-action dynamics generated by that physical property during an
interaction. Measurement outcomes represent elements of the dynamics and cannot
be explained by measurement independent elements of reality.
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