A generalization of Schmidt number for multipartite states-Reference-Cited by-同舟云学术

A generalization of Schmidt number for multipartite states

Published:2015-04 Issue:03 Volume:13 Page:1550025
ISSN:0219-7499
Container-title:International Journal of Quantum Information
language:en
Short-container-title:Int. J. Quantum Inform.

Author:

Guo Yu¹,Fan Heng²

Affiliation:

1. School of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, P. R. China

2. Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China

Abstract

The Schmidt number is of crucial importance in characterizing the bipartite pure states. We explore and propose here a generalization of Schmidt number for states in multipartite systems. It is shown to be entanglement monotonic and valid for both pure and mixed states. In addition, the corresponding generalization of multipartite Schmidt coefficients is introduced. Our approach is applicable for systems with arbitrary number of parties and for arbitrary dimensions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219749915500252

Reference28 articles.

1. Quantum entanglement

2. Entanglement detection

3. The uniqueness theorem for entanglement measures

4. Classification of Multipartite Entanglement of All Finite Dimensionality

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quantum State Combinatorics;Entropy;2024-09-06

2. 三量子位纯态的混合纠缠;Laser & Optoelectronics Progress;2022

3. Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States;Entropy;2021-05-18

4. Modes and states in quantum optics;Reviews of Modern Physics;2020-09-10

5. Schmidt Number Entanglement Measure for Multipartite k-nonseparable States;International Journal of Theoretical Physics;2020-01-22