Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements

Fuente: arXiv
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Main Authors: Wang, Ben, Mi, Minghao, Wang, Huangqiuchen, Xie, Qian, Zhang, Lijian
Format: Preprint
Published: 2025
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_version_ 1866915860943208448
author Wang, Ben
Mi, Minghao
Wang, Huangqiuchen
Xie, Qian
Zhang, Lijian
author_facet Wang, Ben
Mi, Minghao
Wang, Huangqiuchen
Xie, Qian
Zhang, Lijian
contents Accurate phase estimation plays a pivotal role in quantum metrology, yet its precision is significantly affected by noise, particularly phase-diffusive noise caused by phase drift. To address this challenge, the joint estimation of phase and phase diffusion has emerged as an effective approach, transforming the problem into a multi-parameter estimation task. However, the incompatibility between optimal measurements for different parameters prevents single-copy measurements from reaching the fundamental precision limits defined by the quantum Cramer-Rao bound. Meanwhile, collective measurements performed on multiple identical copies can mitigate this incompatibility and thus enhance the precision of joint parameter estimation. This work experimentally demonstrates joint phase and phase-diffusion estimation using deterministic Bell measurements on a two-qubit system. A linear optical network is employed to implement both parameter encoding and deterministic Bell measurements, achieving improved estimation precision compared to any separable measurement strategy. This work proposes a new framework for phase estimation under phase-diffusive noise and underscores the substantial advantages of collective measurements in multi-parameter quantum metrology.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22558
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements
Wang, Ben
Mi, Minghao
Wang, Huangqiuchen
Xie, Qian
Zhang, Lijian
Quantum Physics
Accurate phase estimation plays a pivotal role in quantum metrology, yet its precision is significantly affected by noise, particularly phase-diffusive noise caused by phase drift. To address this challenge, the joint estimation of phase and phase diffusion has emerged as an effective approach, transforming the problem into a multi-parameter estimation task. However, the incompatibility between optimal measurements for different parameters prevents single-copy measurements from reaching the fundamental precision limits defined by the quantum Cramer-Rao bound. Meanwhile, collective measurements performed on multiple identical copies can mitigate this incompatibility and thus enhance the precision of joint parameter estimation. This work experimentally demonstrates joint phase and phase-diffusion estimation using deterministic Bell measurements on a two-qubit system. A linear optical network is employed to implement both parameter encoding and deterministic Bell measurements, achieving improved estimation precision compared to any separable measurement strategy. This work proposes a new framework for phase estimation under phase-diffusive noise and underscores the substantial advantages of collective measurements in multi-parameter quantum metrology.
title Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements
topic Quantum Physics
url https://arxiv.org/abs/2512.22558