Experimental demonstration of a multi-particle collective measurement for optimal quantum state estimation
- URL: http://arxiv.org/abs/2505.04607v2
- Date: Tue, 13 May 2025 16:47:26 GMT
- Title: Experimental demonstration of a multi-particle collective measurement for optimal quantum state estimation
- Authors: Arman Mansouri, Kyle M. Jordan, Raphael A. Abrahao, Jeff S. Lundeen,
- Abstract summary: We experimentally demonstrate a two-particle collective measurement proposed as the optimal solution to a quantum state estimation game.<n>Our results suggest that, in practice, the collective measurement strategy is at least as good as the best local approach.<n>We apply the collective measurement to quantum state tomography, observing a near-optimal scaling of the infidelity with the total number of samples.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We experimentally demonstrate a two-particle collective measurement proposed as the optimal solution to a quantum state estimation game. Our results suggest that, in practice, the collective measurement strategy is at least as good as the best local approach, and it achieves a higher average fidelity when accounting for systematic errors. This photonic implementation uses a recently developed universal two-photon projective measurement based on Hong-Ou-Mandel interference, polarization-dependent loss, and unitary operations. We compare the performance to the case where the entangling component of the measurement is suppressed. We further apply the collective measurement to quantum state tomography, observing a near-optimal scaling of the infidelity with the total number of samples.
Related papers
- Small correlation is sufficient for optimal noisy quantum metrology [0.5461938536945721]
We propose a class of metrological resource states whose quantum Fisher information scales optimally in both system size and noise rate.<n>We design a metrologically optimal and efficient measurement protocol utilizing time-reversed dynamics and single-qubit on-site measurements.
arXiv Detail & Related papers (2024-07-31T18:00:06Z) - Quasiprobability distributions with weak measurements [0.20616237122336117]
We discuss and experimentally demonstrate the role of quantum coherence in a sequence of two measurements collected at different times using weak measurements.<n>We determine the quasiprobability distributions associated to this procedure using both the commensurate and the Margenau-Hill quasiprobabilities approaches.<n>Our results show how quasidistributions may find application in inspecting quantum monitoring, when part of the initial quantum coherence needs to be preserved.
arXiv Detail & Related papers (2024-06-10T18:22:53Z) - Time-reversal assisted quantum metrology with an optimal control [3.250902508512017]
We propose a protocol to overcome the shot noise limit and reach the Heisenberg scaling limit for parameter estimation.
We show that the uncertainty arising from a photon number measurement of the system can saturate the assisted Cream'er-Rao bound.
arXiv Detail & Related papers (2023-12-22T05:14:18Z) - 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) - Importance sampling for stochastic quantum simulations [68.8204255655161]
We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients.
We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage.
Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
arXiv Detail & Related papers (2022-12-12T15:06:32Z) - Demonstration of optimal non-projective measurement of binary coherent
states with photon counting [0.0]
We experimentally demonstrate the optimal inconclusive measurement for the discrimination of binary coherent states.
As a particular case, we use this general measurement to implement the optimal minimum error measurement for phase-coherent states.
arXiv Detail & Related papers (2022-07-25T14:35:16Z) - Estimating Quantum Hamiltonians via Joint Measurements of Noisy
Non-Commuting Observables [0.0]
We introduce a method for performing a single joint measurement that can be implemented locally.
We derive bounds on the number of experimental repetitions required to estimate energies up to a certain precision.
We adapt the joint measurement strategy to minimise the sample complexity when the implementation of measurements is assumed noisy.
arXiv Detail & Related papers (2022-06-17T17:42:54Z) - 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) - Neural network quantum state tomography in a two-qubit experiment [52.77024349608834]
Machine learning inspired variational methods provide a promising route towards scalable state characterization for quantum simulators.
We benchmark and compare several such approaches by applying them to measured data from an experiment producing two-qubit entangled states.
We find that in the presence of experimental imperfections and noise, confining the variational manifold to physical states greatly improves the quality of the reconstructed states.
arXiv Detail & Related papers (2020-07-31T17:25:12Z) - Quantum probes for universal gravity corrections [62.997667081978825]
We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system.
We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure.
Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
arXiv Detail & Related papers (2020-02-13T19:35:07Z) - Direct estimation of quantum coherence by collective measurements [54.97898890263183]
We introduce a collective measurement scheme for estimating the amount of coherence in quantum states.
Our scheme outperforms other estimation methods based on tomography or adaptive measurements.
We show that our method is accessible with today's technology by implementing it experimentally with photons.
arXiv Detail & Related papers (2020-01-06T03:50:42Z)
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.