Efficient verification of arbitrary entangled states with homogeneous
local measurements
- URL: http://arxiv.org/abs/2208.01083v2
- Date: Wed, 14 Jun 2023 09:48:58 GMT
- Title: Efficient verification of arbitrary entangled states with homogeneous
local measurements
- Authors: Ye-Chao Liu, Yinfei Li, Jiangwei Shang, Xiangdong Zhang
- Abstract summary: Quantum state verification (QSV) is the task of relying on local measurements to verify that a given quantum device produces the desired target state.
We present a systematic strategy to tackle this problem by considering the locality of what we initiate as the choice-independent measurement protocols.
We show the explicit procedures of the protocol design using standard Pauli projections, demonstrating the superiority of our method for attaining better QSV strategies.
- Score: 0.874274295147112
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum state verification (QSV) is the task of relying on local measurements
only to verify that a given quantum device does produce the desired target
state. Up to now, certain types of entangled states can be verified efficiently
or even optimally by QSV. However, given an arbitrary entangled state, how to
design its verification protocol remains an open problem. In this work, we
present a systematic strategy to tackle this problem by considering the
locality of what we initiate as the choice-independent measurement protocols,
whose operators can be directly achieved when they are homogeneous. Taking
several typical entangled states as examples, we show the explicit procedures
of the protocol design using standard Pauli projections, demonstrating the
superiority of our method for attaining better QSV strategies. Moreover, our
framework can be naturally extended to other tasks such as the construction of
entanglement witness, and even parameter estimation.
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