A double selection entanglement distillation-based state estimator
- URL: http://arxiv.org/abs/2505.24280v1
- Date: Fri, 30 May 2025 06:58:03 GMT
- Title: A double selection entanglement distillation-based state estimator
- Authors: Joshua Carlo A. Casapao, Ananda G. Maity, Naphan Benchasattabuse, Michal HajduĊĦek, Akihito Soeda, Rodney Van Meter, David Elkouss,
- Abstract summary: We show that a double selection distillation protocol alone can be used to efficiently estimate the Bell-diagonal parameters of the undistilled states.<n>We also demonstrate that this novel estimator outperforms the previously proposed distillation-based estimator in terms of resource complexity.
- Score: 0.3613661942047476
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: With the advent of practical quantum communication networks drawing closer, there is a growing need for reliable estimation protocols that can efficiently characterize quantum resources with minimum resource overhead requirement. A novel approach to this problem is to integrate an estimator into an existing network task, thereby removing the need for an additional characterization protocol. In this work, we show that the measurement statistics of a double selection distillation protocol alone can be used to efficiently estimate the Bell-diagonal parameters of the undistilled states, as well as the resulting distilled states after additional post-processing. We also demonstrate that this novel estimator outperforms the previously proposed distillation-based estimator in terms of resource complexity.
Related papers
- Quantum Internet: Resource Estimation for Entanglement Routing [0.0]
We investigate the dependence of resource scaling of networks on realistic experimental errors.<n>Our error model predicts substantially stricter thresholds for efficient network operation than previously suggested.<n>We find that trapped ions and color centers in diamond currently provide the best route towards large-scale networks.
arXiv Detail & Related papers (2024-10-14T13:50:39Z) - A Novel Stabilizer-based Entanglement Distillation Protocol for Qudits [0.016385815610837167]
Entanglement distillation is pivotal for robust quantum information processing in error-prone environments.<n>A construction based on stabilizer codes offers an effective method for designing such protocols.<n>We present a novel two-copy distillation protocol, applicable to all bipartite states in prime dimension.
arXiv Detail & Related papers (2024-08-05T11:14:28Z) - Disti-Mator: an entanglement distillation-based state estimator [0.3769303106863453]
Minimizing experimental effort and consumption of valuable quantum resources in state estimation is vital in practical quantum information processing.
We show that the Bell-diagonal parameters of any undistilled state can be efficiently estimated solely from the measurement statistics of probabilistic distillation protocols.
arXiv Detail & Related papers (2024-06-20T02:10:04Z) - Statistical evaluation and optimization of entanglement purification protocols [0.0]
We demonstrate that pioneering protocols are unable to improve the estimated initial average concurrence of almost uniformly sampled density matrices.
We also develop a more efficient protocol and investigate it numerically together with a recent proposal based on an entangling rank-$2$ projector.
arXiv Detail & Related papers (2024-02-19T16:58:03Z) - Robust and efficient verification of graph states in blind
measurement-based quantum computation [52.70359447203418]
Blind quantum computation (BQC) is a secure quantum computation method that protects the privacy of clients.
It is crucial to verify whether the resource graph states are accurately prepared in the adversarial scenario.
Here, we propose a robust and efficient protocol for verifying arbitrary graph states with any prime local dimension.
arXiv Detail & Related papers (2023-05-18T06:24:45Z) - A Tale of Sampling and Estimation in Discounted Reinforcement Learning [50.43256303670011]
We present a minimax lower bound on the discounted mean estimation problem.
We show that estimating the mean by directly sampling from the discounted kernel of the Markov process brings compelling statistical properties.
arXiv Detail & Related papers (2023-04-11T09:13:17Z) - Data post-processing for the one-way heterodyne protocol under
composable finite-size security [62.997667081978825]
We study the performance of a practical continuous-variable (CV) quantum key distribution protocol.
We focus on the Gaussian-modulated coherent-state protocol with heterodyne detection in a high signal-to-noise ratio regime.
This allows us to study the performance for practical implementations of the protocol and optimize the parameters connected to the steps above.
arXiv Detail & Related papers (2022-05-20T12:37:09Z) - Magic determines the hardness of direct fidelity estimation [0.0]
We show how the resource theory of magic quantifies the hardness of direct fidelity estimation protocols.
We extend our results to quantum evolutions, showing that the resources needed to certify the quality of the implementation of a given unitary $U$ are governed by the magic in the Choi state associated with $U$.
arXiv Detail & Related papers (2022-04-06T18:00:02Z) - Resource theoretic efficacy of the single copy of a two-qubit entangled
state in a sequential network [0.0]
We demonstrate the resource theoretic advantage of reusing a single copy of a two-qubit entangled state towards information processing.
We consider a scenario of sequential entanglement detection of a given two-qubit state by multiple independent observers on each of the two spatially separated wings.
arXiv Detail & Related papers (2021-09-23T15:18:08Z) - Batch Stationary Distribution Estimation [98.18201132095066]
We consider the problem of approximating the stationary distribution of an ergodic Markov chain given a set of sampled transitions.
We propose a consistent estimator that is based on recovering a correction ratio function over the given data.
arXiv Detail & Related papers (2020-03-02T09:10:01Z) - Finite Block Length Analysis on Quantum Coherence Distillation and
Incoherent Randomness Extraction [64.04327674866464]
We introduce a variant of randomness extraction framework where free incoherent operations are allowed before the incoherent measurement.
We show that the maximum number of random bits extractable from a given quantum state is precisely equal to the maximum number of coherent bits that can be distilled from the same state.
Remarkably, the incoherent operation classes all admit the same second order expansions.
arXiv Detail & Related papers (2020-02-27T09:48:52Z) - 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.