Optimal multiple-phase estimation with multi-mode NOON states against photon loss

• URL: http://arxiv.org/abs/2401.09734v2
• Date: Sun, 21 Jul 2024 03:26:39 GMT
• Title: Optimal multiple-phase estimation with multi-mode NOON states against photon loss
• Authors: Min Namkung, Dong-Hyun Kim, Seongjin Hong, Yong-Su Kim, Changhyoup Lee, Hyang-Tag Lim,
• Abstract summary: We show that a quantum advantage in estimate precision can still be achieved in the presence of photon loss. We also show that photon-number counting via a multi-mode beam-splitter achieves the useful, albeit sub-optimal, quantum advantage.
• Score: 4.362277968017052
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Multi-mode NOON states can quantum-enhance multiple-phase estimation in the absence of photon loss. However, a multi-mode NOON state is known to be vulnerable to photon loss, and its quantum-enhancement can be dissipated by lossy environment. In this work, we demonstrate that a quantum advantage in estimate precision can still be achieved in the presence of photon loss. This is accomplished by optimizing the weights of the multi-mode NOON states according to photon loss rates in the multiple modes, including the reference mode which defines the other phases. For practical relevance, we also show that photon-number counting via a multi-mode beam-splitter achieves the useful, albeit sub-optimal, quantum advantage. We expect this work to provide valuable guidance for developing quantum-enhanced multiple-phase estimation techniques in lossy environments.

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