Optimal verification of two-qubit pure states

Wang, Kun1,2; Hayashi, Masahito2,3,4

2019-09-10

10.1103/PhysRevA.100.032315

PHYSICAL REVIEW A   影响因子和分区

2469-9926

2469-9934

In a recent work [Pallister, Linden, and Montanaro, Phys. Rev. Lett. 120, 170502 (2018)], Pallister et al. proposed an optimal strategy to verify nonmaximally entangled two-qubit pure states under the constraint that the accessible measurements are locally projective and nonadaptive. Their good result leads naturally to the following question: What is the optimal strategy among general local operations and classical communication (LOCC) measurements? In this paper, we answer this problem completely for two-qubit pure states. To be specific, we give the optimal strategy for each of the following available classes of measurements: (i) local operations and one-way classical communication (one-way LOCC) measurements; (ii) local operations and two-way classical communication (two-way LOCC) measurements; and (iii) separable measurements. Surprisingly, our results reveal that for the two-qubit pure state verification problem two-way LOCC measurements remarkably outperform one-way LOCC measurements and have the same power as the separable measurements.

SCI ; EI

英语

通讯

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

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000485188200003

AMER PHYSICAL SOC

20193907470299

Optimal systems ; Qubits

Quantum Theory; Quantum Mechanics:931.4 ; Systems Science:961

PHYSICS

Web of Science

1.Nanjing Univ, Dept Comp Sci & Technol, State Key Lab Novel Software Technol, Nanjing 210093, Jiangsu, Peoples R China
2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
3.Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan
4.Natl Univ Singapore, Ctr Quantum Technol, 3 Sci Dr 2, Singapore 117542, Singapore

Wang, Kun,Hayashi, Masahito. Optimal verification of two-qubit pure states[J]. PHYSICAL REVIEW A,2019,100(3).

Wang, Kun,&Hayashi, Masahito.(2019).Optimal verification of two-qubit pure states.PHYSICAL REVIEW A,100(3).

Wang, Kun,et al."Optimal verification of two-qubit pure states".PHYSICAL REVIEW A 100.3(2019).