Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements
- URL: http://arxiv.org/abs/2512.22558v1
- Date: Sat, 27 Dec 2025 11:12:08 GMT
- Title: Experimental Joint Estimation of Phase and Phase Diffusion via Deterministic Bell Measurements
- Authors: Ben Wang, Minghao Mi, Huangqiuchen Wang, Qian Xie, Lijian Zhang,
- Abstract summary: This work experimentally demonstrates joint phase and phase-diffusion estimation using deterministic Bell measurements on a two-qubit system.<n>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.
- Score: 2.847144242616201
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: 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.
Related papers
- Distributed Phase-Insensitive Displacement Sensing [0.0]
We study a phase-insensitive regime for bosonic sensors that undergo identical displacements with common phases randomly varying between experimental runs.<n>We derive analytical bounds on the achievable precision and show that it is determined by first-order normal correlations between modes in the probe state.<n>Our results are relevant to multimode continuous platforms, including trapped-ion, solid-state mechanical, optomechanical, superconducting, and photonic systems.
arXiv Detail & Related papers (2026-02-03T16:45:58Z) - Mitigating sloppiness in joint estimation of successive squeezing parameters [2.0249250133493195]
Two successive squeezing operations with the same phase are applied to a field mode.<n> reliably estimating the amplitude of each is impossible because the output state depends solely on their sum.<n>We analyze in detail the effects of a phase-shift scrambling transformation, optimized to reduce sloppiness and maximize the overall estimation precision.
arXiv Detail & Related papers (2025-06-18T17:08:18Z) - Measurement compatibility in multiparameter quantum interferometry [0.25602836891933073]
We consider compatibility in quantum interferometry for an important class of probe states, measured by double homodyne or photon counters.<n>We include the presence of loss and phase diffusion in the estimation of a phase.
arXiv Detail & Related papers (2025-04-25T13:04:13Z) - Joint estimation of phase and uncorrelated dephasing in a differential quantum interferometer [0.0]
We present a maximum likelihood approach for the simultaneous estimation of both the differential phase shift and the width of uncorrelated phase noise.<n>Unlike conventional methods, our technique explicitly accounts for the data spreading and outperforms traditional ellipse fitting in terms of both precision and accuracy.
arXiv Detail & Related papers (2025-03-23T18:38:48Z) - Overcoming Quantum Metrology Singularity through Sequential Measurements [0.0]
simultaneous estimation of multiple unknown parameters is the most general scenario in quantum sensing.<n>Here, we address the singularity issue in quantum sensing through a simple mechanism based on a sequential measurement strategy.<n>This is because sequential measurements, involving consecutive steps of local measurements followed by probe evolution, inherently produce correlated measurement data that grows exponentially with the number of sequential measurements.
arXiv Detail & Related papers (2025-01-06T06:00:38Z) - Breakdown of Measurement-Induced Phase Transitions Under Information Loss [39.36827689390718]
A quantum-many body system can feature measurement-induced phase transitions (MIPTs)<n>MIPTs cannot be revealed through ensemble-averaged observables, but it requires the ability to discriminate each trajectory separately.<n>We explore the fate of MIPTs under an observer's reduced ability to discriminate each measurement outcome.
arXiv Detail & Related papers (2024-07-18T18:10:52Z) - Fisher information susceptibility for multiparameter quantum estimation [0.23436632098950458]
Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit.
In quantum metrology, the introduction of the Fisher information measurement noise susceptibility now allows to quantify the robustness of measurement.
We provide its mathematical definition in the form of a semidefinite program.
arXiv Detail & Related papers (2023-12-04T16:54:01Z) - Two-parameter estimation with single squeezed-light interferometer via
double homodyne detection [4.940388670472376]
An analytical form of the quantum Cramer-Bao bound defined by the quantum Fisher information matrix is presented.
It can not only surpass the shot-noise limit, but also can surpass the Heisenberg limit when half of the input intensity of the interferometer is provided by the coherent state.
arXiv Detail & Related papers (2023-10-13T04:55:42Z) - Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom.
We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
arXiv Detail & Related papers (2023-03-13T13:06:40Z) - Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage
of Quantum Algorithms [76.15799379604898]
Quantum phase estimation suffers from spectral leakage when the reciprocal of the record length is not an integer multiple of the unknown phase.
We propose a dual-frequency estimator, which approaches the Cramer-Rao bound, when multiple samples are available.
arXiv Detail & Related papers (2022-01-23T17:20:34Z) - Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements.
We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
arXiv Detail & Related papers (2021-12-15T19:01:44Z) - Quantum parameter estimation in a dissipative environment [44.23814225750129]
We investigate the performance of quantum parameter estimation based on a qubit probe in a dissipative bosonic environment.
It is found that (i) the non-Markovianity can effectively boost the estimation performance and (ii) the estimation precision can be improved by introducing a perpendicular probe-environment interaction.
arXiv Detail & Related papers (2021-10-15T02:43:24Z) - In and out of equilibrium quantum metrology with mean-field quantum
criticality [68.8204255655161]
We study the influence that collective transition phenomena have on quantum metrological protocols.
The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
arXiv Detail & Related papers (2020-01-09T19:20:42Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.