Imperfect Measurements and Conjugate Observables

• URL: http://arxiv.org/abs/2401.05013v1
• Date: Wed, 10 Jan 2024 09:02:24 GMT
• Title: Imperfect Measurements and Conjugate Observables
• Authors: Adarsh S, P. N. Bala Subramanian, T. P. Sreeraj
• Abstract summary: We relax the standard von Neumann interaction used in Quantum measurements by allowing for imperfect measurements. It is possible to attain approximate decoherence of conjugate quantities that resembles classical physics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In the standard von Neumann interaction used in Quantum measurements, the chosen observable to which the environment (apparatus) entangles is exactly reproduced in the state of the environment, thereby decohering the quantum system in the eigenbasis of the observable. We relax this by allowing for imperfect measurements whereby the environment evolves to a state that approximately, but not exactly, reflects the state of the system. In this scheme it is possible to attain approximate decoherence of conjugate quantities that resembles classical physics, which we demonstrate using an example.

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