Network-assist free self-testing of genuine multipartite entangled states

• URL: http://arxiv.org/abs/2311.07266v2
• Date: Thu, 25 Jan 2024 13:04:34 GMT
• Title: Network-assist free self-testing of genuine multipartite entangled states
• Authors: Ranendu Adhikary, Abhishek Mishra and Ramij Rahaman
• Abstract summary: 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.
• Score: 0.8348593305367524
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Self-testing is a method to certify quantum states and measurements in a device-independent way. The device-independent certification of quantum properties is purely based on input-output measurement statistics of the involved devices with minimal knowledge about their internal workings. Bipartite pure entangled states can be self-tested, but, in the case of multipartite pure entangled states, the answer is not so straightforward. Nevertheless, \v{S}upi\'{c} et al. recently introduced a novel self-testing method for any pure entangled quantum state, which leverages network assistance and relies on bipartite entangled measurements. Hence, their scheme loses the true device-independent flavor of self-testing. In this regard, 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. Our scheme involves only local operations and classical communications and does not depend on bipartite entangled measurements and is free from any network assistance. In addition, we provide the device-independent bound of the maximum probability of success for generalized Hardy-type nonlocality argument.

Related papers

• Certifying classes of $d$-outcome measurements with quantum steering [49.1574468325115]
  We provide a construction of a family of steering inequalities tailored to large classes of $d$-outcomes projective measurements. We prove that the maximal quantum violation of those inequalities can be used for certification of those measurements and the maximally entangled state of two qudits.
  arXiv  Detail & Related papers  (2024-10-27T15:32:53Z)
• Self-testing of genuine multipartite non-local and non-maximally entangled states [0.0]
  We present a Cabello-like paradox for scenarios involving an arbitrary number of parties. This is a tool for detecting genuine multipartite nonlocality. We operate within the standard self-testing framework to self-test genuine multipartite non-local and non-maximally entangled states.
  arXiv  Detail & Related papers  (2024-02-26T07:40:36Z)
• 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)
• A universal scheme to self-test any quantum state and extremal measurement [41.94295877935867]
  quantum network considered in this work is the simple star network, which is implementable using current technologies. For our purposes, we also construct a scheme that can be used to self-test the two-dimensional tomographically complete set of measurements with an arbitrary number of parties.
  arXiv  Detail & Related papers  (2023-12-07T16:20:28Z)
• Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics [52.95080735625503]
  Full network nonlocality goes beyond standard nonlocality in networks by falsifying any model in which at least one source is classical. We report on the observation of full network nonlocality in a star-shaped network featuring three independent sources of photonic qubits and joint three-qubit entanglement-swapping measurements.
  arXiv  Detail & Related papers  (2022-12-19T19:00:01Z)
• Self-testing of different entanglement resources via fixed measurement settings [4.2168438426143595]
  We show that a family of two-qubit entangled states can be self-tested by the same measurement settings. Our results can be applied to various quantum information processing tasks.
  arXiv  Detail & Related papers  (2022-10-23T12:14:51Z)
• Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario [0.0]
  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.
  arXiv  Detail & Related papers  (2021-10-28T14:54:08Z)
• 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)
• 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)
• Genuine Network Multipartite Entanglement [62.997667081978825]
  We argue that a source capable of distributing bipartite entanglement can, by itself, generate genuine $k$-partite entangled states for any $k$. We provide analytic and numerical witnesses of genuine network entanglement, and we reinterpret many past quantum experiments as demonstrations of this feature.
  arXiv  Detail & Related papers  (2020-02-07T13:26:00Z)

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.