Entanglement cost of discriminating noisy Bell states by local operations and classical communication

• URL: http://arxiv.org/abs/2106.08721v3
• Date: Fri, 1 Oct 2021 05:58:07 GMT
• Title: Entanglement cost of discriminating noisy Bell states by local operations and classical communication
• Authors: Somshubhro Bandyopadhyay, Vincent Russo
• Abstract summary: Entangled states can help in quantum state discrimination by local operations and classical communication. It is proved that a Bell state is required for optimal discrimination by LOCC, even though the ensembles do not contain, in general, any maximally entangled state.
• Score: 13.939388417767136
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entangled states can help in quantum state discrimination by local operations and classical communication (LOCC). For example, a Bell state is necessary (and sufficient) to perfectly discriminate a set of either three or four Bell states by LOCC. In this paper, we consider the task of LOCC discrimination of the states of noisy Bell ensembles, where a given ensemble consists of the states obtained by mixing the Bell states with an arbitrary two-qubit state with nonzero probabilities. It is proved that a Bell state is required for optimal discrimination by LOCC, even though the ensembles do not contain, in general, any maximally entangled state, and in specific instances, any entangled state.

Related papers

• Nondestructive discrimination of Bell states between distant parties [3.3764180740316543]
  We present a scheme for discriminating an arbitrary Bell state distributed to two distant parties without destroying it. We show that our scheme can surpass classical bounds when applied to practical quantum processor.
  arXiv  Detail & Related papers  (2023-09-02T08:54:34Z)
• Local Inaccessibility of Random Classical Information : Conditional Nonlocality demands Entanglement [0.0]
  Discrimination of quantum states under local operations and classical communication (LOCC) is an intriguing question. We introduce a framework for input-dependent local quantum state discrimination, which we call local random authentication (LRA) The results highlight a completely new aspect of the interplay between the security of information in a network and quantum entanglement under the LOCC paradigm.
  arXiv  Detail & Related papers  (2023-07-17T12:58:46Z)
• Detection of Beyond-Quantum Non-locality based on Standard Local Quantum Observables [46.03321798937856]
  We show that device independent detection cannot distinguish beyond-quantum non-local states from standard quantum states. This paper gives a device dependent detection based on local observables to distinguish any beyond-quantum non-local state from all standard quantum states.
  arXiv  Detail & Related papers  (2023-01-10T20:19:34Z)
• Learning Distributed Quantum State Discrimination with Noisy Classical Communications [39.000858564696856]
  This paper presents Noise Aware-LOCCNet (NA-LOCCNet) for distributed quantum state discrimination in the presence of noisy communication. We propose specific ansatzes for the case of two observed qubit pairs, and we describe a noise-aware training design criterion.
  arXiv  Detail & Related papers  (2022-07-22T22:06:56Z)
• Local approximation for perfect discrimination of quantum states [0.0]
  Quantum state discrimination involves identifying a given state out of a set of possible states. In the case of multipartite systems when the parties are constrained to use multiple rounds of local operations and classical communication (LOCC), perfect state discrimination is often impossible.
  arXiv  Detail & Related papers  (2022-07-07T21:12:47Z)
• Exploring Bell nonlocality of quantum networks with stabilizing and logical operators [0.0]
  Knowing the stabilizing and logical operators indeed provides a new way of exploring Bell non-locality in quantum networks. For the qubit distribution in quantum networks, the associated nonlinear Bell inequalities are derived. The tilted nonlinear Bell inequalities tailored for specific non-maximal entangled stabilizer states are also explored.
  arXiv  Detail & Related papers  (2021-05-09T05:13:41Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)
• Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices [68.8204255655161]
  Purifying entanglement resources after their imperfect generation is an indispensable step towards using them in quantum architectures. Here we depart from the typical purification paradigm for multipartite states explored in the last twenty years. We find that smaller sacrificial' states, like Bell pairs, can be more useful in the purification of multipartite states than additional copies of these same states.
  arXiv  Detail & Related papers  (2020-11-23T19:00:00Z)
• Unambiguous discrimination of Fermionic states through local operations and classical communication [68.8204255655161]
  The paper studies unambiguous discrimination of Fermionic states through local operations and classical communication (LOCC) We show that it is not always possible to distinguish two Fermionic states through LOCC unambiguously with the same success probability as if global measurements were allowed.
  arXiv  Detail & Related papers  (2020-09-11T21:08:52Z)
• Fermionic state discrimination by local operations and classical communication [68.8204255655161]
  Local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems is studied. We show that, contrary to the case of quantum systems, for fermionic systems it is generally not possible to achieve the ideal state discrimination performances.
  arXiv  Detail & Related papers  (2020-02-24T12:25:36Z)

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.