Designing Heisenberg-limited linear detectors: a bottom-up approach [CL]

http://arxiv.org/abs/2110.07942


We develop a systematic approach to realising linear detectors that saturate the Heisenberg limit. First, we consider the general constraints on the input-output transfer matrix of a linear detector. We then derive the physical realization of the most general transfer matrix using the quantum network synthesis technique, which allows for the inference of the physical setup directly from the input-output transfer matrix. By exploring the minimal realization which has the minimum number of internal modes, we show that such detectors that saturate the Heisenberg limit are internal squeezing schemes. Then, investigating the non-minimal realization, which is motivated by the parity-time symmetric systems, we arrive at the general quantum non-demolition measurement.

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J. Bentley, H. Nurdin, Y. Chen, et. al.
Mon, 18 Oct 21
46/68

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