Homodyne measurement with a Schr\"odinger cat state as a local oscillator

• URL: http://arxiv.org/abs/2207.10210v2
• Date: Wed, 9 Nov 2022 20:25:00 GMT
• Title: Homodyne measurement with a Schr\"odinger cat state as a local oscillator
• Authors: Joshua Combes and Austin P. Lund
• Abstract summary: Homodyne measurements are a widely used quantum measurement. It can be shown that the quantum homodyne measurement limits to a field quadrature measurement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Homodyne measurements are a widely used quantum measurement. Using a coherent state of large amplitude as the local oscillator, it can be shown that the quantum homodyne measurement limits to a field quadrature measurement. In this work, we give an example of a general idea: injecting non-classical states as a local oscillator can led to non-classical measurements. Specifically we consider injecting a superposition of coherent states, a Schr\"odinger cat state, as a local oscillator. We derive the Kraus operators and the positive operator-valued measure (POVM) in this situation.

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