Symmetry-resolved entanglement detection using partial transpose moments

• URL: http://arxiv.org/abs/2103.07443v1
• Date: Fri, 12 Mar 2021 18:13:39 GMT
• Title: Symmetry-resolved entanglement detection using partial transpose moments
• Authors: Antoine Neven, Jose Carrasco, Vittorio Vitale, Christian Kokail, Andreas Elben, Marcello Dalmonte, Pasquale Calabrese, Peter Zoller, Beno\^it Vermersch, Richard Kueng, Barbara Kraus
• Abstract summary: We propose an ordered set of experimentally accessible conditions for detecting entanglement in mixed states. Remarkably, the union of all moment inequalities reproduces the Peres-Horodecki criterion for detecting entanglement. Exploiting symmetries can help to further improve their detection capabilities.
• Score: 1.1796902300802672
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose an ordered set of experimentally accessible conditions for detecting entanglement in mixed states. The $k$-th condition involves comparing moments of the partially transposed density operator up to order $k$. Remarkably, the union of all moment inequalities reproduces the Peres-Horodecki criterion for detecting entanglement. Our empirical studies highlight that the first four conditions already detect mixed state entanglement reliably in a variety of quantum architectures. Exploiting symmetries can help to further improve their detection capabilities. We also show how to estimate moment inequalities based on local random measurements of single state copies (classical shadows) and derive statistically sound confidence intervals as a function of the number of performed measurements. Our analysis includes the experimentally relevant situation of drifting sources, i.e. non-identical, but independent, state copies.

Related papers

• Experimental verification of bound and multiparticle entanglement with the randomized measurement toolbox [11.537640431743473]
  We experimentally prepare various entangled states with path-polarization hyper-entangled photon pairs and study their entanglement properties. We successfully characterize the correlations of a series of GHZ-W mixed states using the second moments of the random outcomes. We generate bound entangled chessboard states of two three-dimensional systems and verify their weak entanglement with a criterion derived from moments of randomized measurements.
  arXiv  Detail & Related papers  (2023-07-10T07:27:04Z)
• Ensembled Prediction Intervals for Causal Outcomes Under Hidden Confounding [49.1865229301561]
  We present a simple approach to partial identification using existing causal sensitivity models and show empirically that Caus-Modens gives tighter outcome intervals. The last of our three diverse benchmarks is a novel usage of GPT-4 for observational experiments with unknown but probeable ground truth.
  arXiv  Detail & Related papers  (2023-06-15T21:42:40Z)
• Anomaly Detection with Variance Stabilized Density Estimation [49.46356430493534]
  We present a variance-stabilized density estimation problem for maximizing the likelihood of the observed samples. To obtain a reliable anomaly detector, we introduce a spectral ensemble of autoregressive models for learning the variance-stabilized distribution. We have conducted an extensive benchmark with 52 datasets, demonstrating that our method leads to state-of-the-art results.
  arXiv  Detail & Related papers  (2023-06-01T11:52:58Z)
• Optimizing detection of continuous variable entanglement for limited data [0.0]
  We consider the scenario of coarse grained measurements, or finite detector resolution, where the values of the Husimi $Q$-distribution are only known on a grid of points in phase space. We customize our entanglement criteria to maximize the statistical significance of the detection for a given finite number of samples.
  arXiv  Detail & Related papers  (2022-11-30T17:05:08Z)
• Targeted Separation and Convergence with Kernel Discrepancies [61.973643031360254]
  kernel-based discrepancy measures are required to (i) separate a target P from other probability measures or (ii) control weak convergence to P. In this article we derive new sufficient and necessary conditions to ensure (i) and (ii) For MMDs on separable metric spaces, we characterize those kernels that separate Bochner embeddable measures and introduce simple conditions for separating all measures with unbounded kernels.
  arXiv  Detail & Related papers  (2022-09-26T16:41:16Z)
• Nonparametric Conditional Local Independence Testing [69.31200003384122]
  Conditional local independence is an independence relation among continuous time processes. No nonparametric test of conditional local independence has been available. We propose such a nonparametric test based on double machine learning.
  arXiv  Detail & Related papers  (2022-03-25T10:31:02Z)
• 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)
• Witnesses of coherence and dimension from multiphoton indistinguishability tests [0.0]
  We experimentally measure a novel type of coherence witness that uses pairwise state comparisons to identify superpositions in a basis-independent way. Besides coherence witnesses, we show the measurements also serve as a Hilbert-space dimension witness.
  arXiv  Detail & Related papers  (2021-04-19T12:13:51Z)
• Nonlocality, steering and quantum state tomography in a single experiment [1.8631700158180744]
  We investigate whether paradigmatic measurements for quantum state tomography can be employed to certify quantum correlations. This allows us to perform state tomography on entangled qutrits, a test of Einstein-Podolsky-Rosen steering and a Bell inequality test, all within a single experiment.
  arXiv  Detail & Related papers  (2020-11-11T09:56:21Z)
• Estimating means of bounded random variables by betting [39.98103047898974]
  This paper derives confidence intervals (CI) and time-uniform confidence sequences (CS) for the classical problem of estimating an unknown mean from bounded observations. We present a general approach for deriving concentration bounds, that can be seen as a generalization and improvement of the celebrated Chernoff method. We show how to extend these ideas to sampling without replacement, another heavily studied problem.
  arXiv  Detail & Related papers  (2020-10-19T17:22:03Z)
• Mixed-state entanglement from local randomized measurements [2.536333994672575]
  We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. Our method can be applied to any quantum system with single-qubit control.
  arXiv  Detail & Related papers  (2020-07-13T10:58:03Z)

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.