Simultaneous estimation of multiple phases in generalised Mach-Zehnder interferometer

• URL: http://arxiv.org/abs/2012.07645v2
• Date: Thu, 29 Jul 2021 15:34:20 GMT
• Title: Simultaneous estimation of multiple phases in generalised Mach-Zehnder interferometer
• Authors: Marcin Markiewicz, Mahasweta Pandit, and Wieslaw Laskowski
• Abstract summary: We show that we can obtain the Heisenberg-like scaling of precision of joint estimation of any subset of $d-1$ phases. Our scheme can be applied to the task of quantum-enhanced sensing in three-dimensional interferometric configurations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work we investigate the problem of simultaneous estimation of phases using generalised three- and four-mode Mach-Zehnder interferometer. In our setup, we assume that the phases are placed in each of the modes in the interferometer, which introduces correlations between estimators of the phases. These correlations prevent simultaneous estimation of all these phases, however we show that we can still obtain the Heisenberg-like scaling of precision of joint estimation of any subset of $d-1$ phases, $d$ being the number of modes, within completely fixed experimental setup, namely with the same initial state and set of measurements. Our estimation scheme can be applied to the task of quantum-enhanced sensing in three-dimensional interferometric configurations.

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