Conditions for the local manipulation of all bipartite Gaussian states

Journal Article · Fri Aug 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.020302· OSTI ID:20640001

Wang, Liang; Li, Shu-Shen; Yang, Fu-Hua; Niu, Zhi-Chuan; Feng, Song-Lin; Zheng, Hou-Zhi ^[1]

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1. State Key Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P. O. Box 912, Beijing 100083, People's Republic of China (China)

We provide a general, necessary, and sufficient condition for the possibility of transforming a mixed bipartite Gaussian state with arbitrarily many modes to another one under arbitrary local Gaussian channels, which do not include classical communication. Moreover, by means of this condition we present a necessary criterion that can be used to check the possibility of a state transformation between two mixed Gaussian states. At the same time, we prove that our criterion can be reduced to the Eisert-Plenio criterion when the mode number is chosen as 1 per side.

• OSTI ID: 20640001
• Journal Information: Physical Review. A, Vol. 68, Issue 2; Other Information: DOI: 10.1103/PhysRevA.68.020302; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

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