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.
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