Twist-teleportation-based local discrimination of maximally entangled states
- PDF / 166,531 Bytes
- 7 Pages / 595.28 x 793.7 pts Page_size
- 63 Downloads / 194 Views
. Article .
August 2020 Vol. 63 No. 8: 280312 https://doi.org/10.1007/s11433-020-1562-4
Twist-teleportation-based local discrimination of maximally entangled states Mao-Sheng Li1,2, Shao-Ming Fei3,4* , Zong-Xing Xiong5, and Yan-Ling Wang6* 1 Department
of Physics, Southern University of Science and Technology, Shenzhen 518055, China; of Physics, University of Science and Technology of China, Hefei 230026, China; 3 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China; 4 Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany; 5 Department of Mathematics, South China University of Technology, Guangzhou 510640, China; 6 School of Computer Science and Network Security, Dongguan University of Technology, Dongguan 523808, China 2 Department
Received February 14, 2020; accepted April 15, 2020; published online June 4, 2020
In this work, we study the local distinguishability of maximally entangled states (MESs). In particular, we are concerned with whether any fixed number of MESs can be locally distinguishable for sufficiently large dimensions. Fan and Tian et al. have already obtained two satisfactory results for the generalized Bell states (GBSs) and the qudit lattice states when applied to prime or prime power dimensions. We construct a general twist-teleportation scheme for any orthonormal basis with MESs that is inspired by the method used in [Phys. Rev. A 70, 022304 (2004)]. Using this teleportation scheme, we obtain a sufficient and necessary condition for one-way distinguishable sets of MESs, which include the GBSs and the qudit lattice states as special cases. Moreover, we present a generalized version of the results in [Phys. Rev. A 92, 042320 (2015)] for the arbitrary dimensional case. teleportation, local discrimination, maximally entangled states PACS number(s): Citation:
03.67.Hk, 03.65.Ud, 03.65.Aa
M.-S. Li, S.-M. Fei, Z.-X. Xiong, and Y.-L. Wang, Twist-teleportation-based local discrimination of maximally entangled states, Sci. China-Phys. Mech. Astron. 63, 280312 (2020), https://doi.org/10.1007/s11433-020-1562-4
1 Introduction In quantum information processing, it is often found that the subsystems of a composite system are spatially separated. Therefore, quantum manipulation of the system can only be conducted using local operations and classical communication (LOCC). The local distinguishability of quantum states plays important roles in the exploration of LOCC capabilities [1, 2]. If we suppose that Alice and Bob share a bipartite quantum state chosen from a set of previously known orthogonal states, then their task is to identify the given state using only LOCC. The set of states is said to be locally dis*Corresponding authors (Shao-Ming Fei, email: [email protected]; Yan-Ling Wang, email: [email protected])
tinguishable or distinguishable by LOCC if LOCC protocols exist to exactly identify the states of the given set; otherwise, the set is locally indistinguishable or indistinguishable by LOCC or nonlocal. The study of local distinguishability
Data Loading...
