Non-destructive Local Discrimination of Entangled Quantum States
- URL: http://arxiv.org/abs/2308.16032v1
- Date: Wed, 30 Aug 2023 13:46:18 GMT
- Title: Non-destructive Local Discrimination of Entangled Quantum States
- Authors: Youngrong Lim, Minki Hhan, Hyukjoon Kwon
- Abstract summary: We show a gap between local and nonlocal strategies in a quantum state discrimination task under a non-destructiveness condition.
For a set of maximally entangled states, the success probability of the proposed task using local operations and classical communications is completely suppressed.
We construct a non-destructive and adaptive strategy to achieve perfect discrimination of maximally entangled states.
- Score: 5.44412471005479
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We demonstrate a substantial gap between local and nonlocal strategies in a
quantum state discrimination task under a non-destructiveness condition. The
condition imposes additional constraints to conventional state discrimination
that the initial state should be returned without disturbance. For a set of
maximally entangled states, the success probability of the proposed task using
local operations and classical communications is completely suppressed; it
cannot beat random guessing. We also show that a local strategy that
efficiently exploits pre-shared entanglement for this task can be essentially
different from the conventional approaches. We construct a non-destructive and
adaptive strategy to achieve perfect discrimination of maximally entangled
states which has a strictly lower entanglement cost than the best-known method
based on teleportation. Our approach can be generalized to multipartite
scenarios, offering an application in entanglement certification of a quantum
network.
Related papers
- Global restrictions under local state discrimination [49.1574468325115]
Local distinguishability can restrict global properties of bi-partite states.
We show that optimal local state discrimination can become a powerful tool to limit global behaviours.
arXiv Detail & Related papers (2024-11-29T11:14:23Z) - Entanglement cost of discriminating quantum states under locality constraints [7.0937306686264625]
We show that a pure state can be optimally discriminated against any other state with the assistance of a single Bell state.
This study advances our understanding of the pivotal role played by entanglement in quantum state discrimination, serving as a crucial element in unlocking quantum data hiding against locally constrained measurements.
arXiv Detail & Related papers (2024-02-28T16:16:50Z) - 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) - Estimating Geographic Spillover Effects of COVID-19 Policies From
Large-Scale Mobility Networks [54.90772000796717]
County-level policies provide flexibility between regions, but may become less effective in the presence of geographic spillovers.
We estimate spillovers using a mobility network with billions of timestamped edges.
We find that county-level restrictions are only 54% as effective as statewide restrictions at reducing mobility.
arXiv Detail & Related papers (2022-12-12T20:16:54Z) - Locking and unlocking of quantum nonlocality without entanglement in
local discrimination of quantum states [0.0]
We show that the post-measurement information can be used to lock as well as unlock the occurrence of NLWE.
Our results can provide a useful application for hiding or sharing information based on non-orthogonal separable states.
arXiv Detail & Related papers (2021-12-02T11:25:31Z) - A New Bandit Setting Balancing Information from State Evolution and
Corrupted Context [52.67844649650687]
We propose a new sequential decision-making setting combining key aspects of two established online learning problems with bandit feedback.
The optimal action to play at any given moment is contingent on an underlying changing state which is not directly observable by the agent.
We present an algorithm that uses a referee to dynamically combine the policies of a contextual bandit and a multi-armed bandit.
arXiv Detail & Related papers (2020-11-16T14:35:37Z) - Learning Strategies in Decentralized Matching Markets under Uncertain
Preferences [91.3755431537592]
We study the problem of decision-making in the setting of a scarcity of shared resources when the preferences of agents are unknown a priori.
Our approach is based on the representation of preferences in a reproducing kernel Hilbert space.
We derive optimal strategies that maximize agents' expected payoffs.
arXiv Detail & Related papers (2020-10-29T03:08:22Z) - 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) - Understanding the interplay of entanglement and nonlocality: motivating
and developing a new branch of entanglement theory [0.7864304771129751]
Local Operations and Shared Randomness (LOSR) provides a resolution of anomalies of nonlocality.
We show that LOSR entails new notions of genuine multipartite entanglement and nonlocality.
Our results motivate the study of LOSR-entanglement as a new branch of entanglement theory.
arXiv Detail & Related papers (2020-04-20T10:45:26Z) - 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.