Efficient Verification of Arbitrary Entangled States with Homogeneous Local Measurements

Author:

Liu Ye‐Chao12ORCID,Li Yinfei1,Shang Jiangwei13ORCID,Zhang Xiangdong1ORCID

Affiliation:

1. Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement of Ministry of Education, School of Physics Beijing Institute of Technology Beijing 100081 China

2. Naturwissenschaftlich‐Technische Fakultät Universität Siegen Walter‐Flex‐Straße 3 57068 Siegen Germany

3. State Key Laboratory of Surface Physics and Department of Physics Fudan University Shanghai 200433 China

Abstract

AbstractQuantum 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. This study presents a systematic strategy to tackle this problem by considering the locality of what it initiates as the choice‐independent measurement protocols, whose operators can be directly achieved when they are homogeneous. Taking several typical entangled states as examples, this study shows the explicit procedures of the protocol design using standard Pauli projections, demonstrating the superiority of the method for attaining better QSV strategies. Moreover, the framework can be naturally extended to other tasks such as the construction of entanglement witnesses, and even parameter estimation.

Funder

National Natural Science Foundation of China

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Computational Theory and Mathematics,Condensed Matter Physics,Mathematical Physics,Nuclear and High Energy Physics,Electronic, Optical and Magnetic Materials,Statistical and Nonlinear Physics

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