Related papers: Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario

Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario

URL: http://arxiv.org/abs/2110.15176v3
Date: Wed, 23 Mar 2022 15:09:19 GMT
Title: Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario
Authors: Shubhayan Sarkar, Jakub J. Borka{\l}a, Chellasamy Jebarathinam, Owidiusz Makuta, Debashis Saha, and Remigiusz Augusiak
Abstract summary: certification of quantum systems and their properties has become a field of intensive studies. We propose a self-testing scheme for all bipartite entangled states using a single family of steering inequalities with the minimal number of two measurements per party.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Certification of quantum systems and their properties has become a field of intensive studies. Here, taking advantage of the one-sided device-independent scenario (known also as quantum steering scenario), we propose a self-testing scheme for all bipartite entangled states using a single family of steering inequalities with the minimal number of two measurements per party. Building on this scheme we then show how to certify all rank-one extremal measurements, including non-projective $d^2$-outcome measurements, which in turn can be used for certification of the maximal amount of randomness from every entangled bipartite state of local dimension $d$, that is, $2\log_2d$ bits. Finally, in a particular case of $d=3$, we extend our self-testing results to the fully device-independent setting.

Related papers

Almost device-independent certification of GME states with minimal measurements [41.94295877935867]
Device-independent certification of quantum states allows the characterization of quantum states present inside a device. A major problem in this regard is to certify quantum states using minimal resources. We consider the multipartite quantum steering scenario with an arbitrary number of parties but only one of which is trusted in the sense that the measurements performed by the trusted party are known.
arXiv Detail & Related papers (2024-02-28T17:54:55Z)
Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
We propose a measurement-device-independent (MDI) test for beyond-quantum state detection. We discuss the importance of tomographic completeness of the input sets to the detection.
arXiv Detail & Related papers (2023-12-11T06:40:13Z)
Network-assist free self-testing of genuine multipartite entangled states [0.8348593305367524]
Bipartite pure entangled states can be self-tested, but, in the case of multipartite pure entangled states, the answer is not so straightforward. We provide a self-testing scheme for genuine multipartite pure entangle states in the true sense by employing a generalized Hardy-type non-local argument.
arXiv Detail & Related papers (2023-11-13T12:04:03Z)
Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
arXiv Detail & Related papers (2022-03-15T09:46:45Z)
Device-independent certification of maximal randomness from pure entangled two-qutrit states using non-projective measurements [0.0]
We introduce a method for device-independent certification of the maximal possible amount of $2log_23$ random bits. We exploit the extended Bell scenario introduced recently in [S. Sarkar et al., arXiv:2110.15176], which combines a device-independent method for certification of the full Weyl-Heisenberg basis in three-dimensional Hilbert spaces.
arXiv Detail & Related papers (2022-01-21T11:25:58Z)
ANCER: Anisotropic Certification via Sample-wise Volume Maximization [134.7866967491167]
We introduce ANCER, a framework for obtaining anisotropic certificates for a given test set sample via volume. Results demonstrate that ANCER introduces accuracy on both CIFAR-10 and ImageNet at multiple radii, while certifying substantially larger regions in terms of volume.
arXiv Detail & Related papers (2021-07-09T17:42:38Z)
Sample-efficient device-independent quantum state verification and certification [68.8204255655161]
Authentication of quantum sources is a crucial task in building reliable and efficient protocols for quantum-information processing. We develop a systematic approach to device-independent verification of quantum states free of IID assumptions in the finite copy regime. We show that device-independent verification can be performed with optimal sample efficiency.
arXiv Detail & Related papers (2021-05-12T17:48:04Z)
Self-testing two-qubit maximally entangled states from generalized CHSH tests [0.0]
We show how the self-testing of two-qubit maximally entangled states is improved by a refined analysis of measurement statistics. Our results not only provide novel insight into the set of quantum correlations suited for self-testing, but also facilitate the experimental implementations of device-independent certifications.
arXiv Detail & Related papers (2020-11-05T19:00:00Z)
On the optimal certification of von Neumann measurements [55.41644538483948]
certification of quantum measurements can be viewed as the extension of quantum hypotheses testing. We show the connection between the certification of quantum channels or von Neumann measurements and the notion of $q$-numerical range.
arXiv Detail & Related papers (2020-09-14T22:38:23Z)
Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering [0.0]
We show that any bipartite pure entangled state can be certified in the semi-device independent scenario through Quantum Steering. We use the notion of Assemblage based robust state certification to provide bounds for the certification result in the case of pure maximally entangled states of any local dimension.
arXiv Detail & Related papers (2020-07-08T10:49:23Z)

This list is automatically generated from the titles and abstracts of the papers in this site.