Fundamental limits for reciprocal and non-reciprocal non-Hermitian quantum sensing

• URL: http://arxiv.org/abs/2104.10822v1
• Date: Thu, 22 Apr 2021 01:45:11 GMT
• Title: Fundamental limits for reciprocal and non-reciprocal non-Hermitian quantum sensing
• Authors: Liying Bao, Bo Qi, Daoyi Dong and Franco Nori
• Abstract summary: Non-reciprocity can be a powerful resource for non-Hermitian quantum sensing. We establish fundamental limits on signal-to-noise ratio for reciprocal and non-reciprocal quantum sensing.
• Score: 2.372393003522374
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Hermitian dynamics has been widely studied to enhance the precision of quantum sensing; and non-reciprocity can be a powerful resource for non-Hermitian quantum sensing, as non-reciprocity allows to arbitrarily exceed the fundamental bound on the measurement rate of any reciprocal sensors. Here we establish fundamental limits on signal-to-noise ratio for reciprocal and non-reciprocal non-Hermitian quantum sensing. In particular, for two-mode linear systems with two coherent drives, an approximately attainable uniform bound on the best possible measurement rate per photon is derived for both reciprocal and non-reciprocal sensors. This bound is only related to the coupling coefficients and, in principle, can be made arbitrarily large. Our results thus demonstrate that a conventional reciprocal sensor with two drives can simulate any non-reciprocal sensor. This work also demonstrates a clear signature on how the excitation signals affect the signal-to-noise ratio in non-Hermitian quantum sensing.

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