General framework for verifying pure quantum states in the adversarial scenario

Zhu, Huangjun1,2,3,4; Hayashi, Masahito5,6,7,8

2019

10.1103/PhysRevA.100.062335

Physical Review A   影响因子和分区

24699934

2469-9934

Bipartite and multipartite entangled states are of central interest in quantum information processing and foundational studies. Efficient verification of these states, especially in the adversarial scenario, is a key to various applications, including quantum computation, quantum simulation, and quantum networks. However, little is known about this topic in the adversarial scenario. Here we initiate a systematic study of pure-state verification in the adversarial scenario. In particular, we introduce a general method for determining the minimal number of tests required by a given strategy to achieve a given precision. In the case of homogeneous strategies, we can even derive an analytical formula. Furthermore, we propose a general recipe to verifying pure quantum states in the adversarial scenario by virtue of protocols for the nonadversarial scenario. Thanks to this recipe, the resource cost for verifying an arbitrary pure state in the adversarial scenario is comparable to the counterpart for the nonadversarial scenario, and the overhead is at most three times for high-precision verification. Our recipe can readily be applied to efficiently verify bipartite pure states, stabilizer states, hypergraph states, weighted graph states, and Dicke states in the adversarial scenario, even if only local projective measurements are accessible. This paper is an extended version of the companion paper Zhu and Hayashi, Phys. Rev. Lett. 123, 260504 (2019)10.1103/PhysRevLett.123.260504.
© 2019 American Physical Society.

SCI ; EI

英语

其他

Japan Society for the Promotion of Science (JSPS)[17H01280] ; Japan Society for the Promotion of Science (JSPS)[16KT0017]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000504635800002

American Physical Society

20200107973099

Quantum chemistry ; Quantum computers ; Quantum optics

Computer Systems and Equipment:722 ; Physical Chemistry:801.4 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.Department of Physics, Center for Field Theory and Particle Physics, Fudan University, Shanghai; 200433, China
2.State Key Laboratory of Surface Physics, Fudan University, Shanghai; 200433, China
3.Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai; 200433, China
4.Collaborative Innovation Center of Advanced Microstructures, Nanjing; 210093, China
5.Graduate School of Mathematics, Nagoya University, Nagoya; 464-8602, Japan
6.Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen; 518055, China
7.Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen; 518000, China
8.Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117542, Singapore

Zhu, Huangjun,Hayashi, Masahito. General framework for verifying pure quantum states in the adversarial scenario[J]. Physical Review A,2019,100(6).

Zhu, Huangjun,&Hayashi, Masahito.(2019).General framework for verifying pure quantum states in the adversarial scenario.Physical Review A,100(6).

Zhu, Huangjun,et al."General framework for verifying pure quantum states in the adversarial scenario".Physical Review A 100.6(2019).