Weaker entanglement between two parties guarantees stronger entanglement with a third party
Abstract
The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively present the converse monogamy of entanglement: given a tripartite pure system and when Alice and Bob are weakly entangled, then either of them is generally strongly entangled with the third party. Our result leads to the classification of tripartite pure states based on bipartite reduced density operators, which is an effective way to this longstanding problem compared to the means by stochastic local operations and classical communications. We also systematically indicate the structure of the classified states and generate them.
- Authors:
-
- Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980-8579 (Japan)
- Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117542 Singapore (Singapore)
- Publication Date:
- OSTI Identifier:
- 22038631
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MIXED STATES; PURE STATES; QUANTUM COMPUTERS; QUANTUM CRYPTOGRAPHY; QUANTUM ENTANGLEMENT
Citation Formats
Hayashi, Masahito, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117542 Singapore, and Lin, Chen. Weaker entanglement between two parties guarantees stronger entanglement with a third party. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.012325.
Hayashi, Masahito, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117542 Singapore, & Lin, Chen. Weaker entanglement between two parties guarantees stronger entanglement with a third party. United States. https://doi.org/10.1103/PHYSREVA.84.012325
Hayashi, Masahito, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117542 Singapore, and Lin, Chen. 2011.
"Weaker entanglement between two parties guarantees stronger entanglement with a third party". United States. https://doi.org/10.1103/PHYSREVA.84.012325.
@article{osti_22038631,
title = {Weaker entanglement between two parties guarantees stronger entanglement with a third party},
author = {Hayashi, Masahito and Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117542 Singapore and Lin, Chen},
abstractNote = {The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively present the converse monogamy of entanglement: given a tripartite pure system and when Alice and Bob are weakly entangled, then either of them is generally strongly entangled with the third party. Our result leads to the classification of tripartite pure states based on bipartite reduced density operators, which is an effective way to this longstanding problem compared to the means by stochastic local operations and classical communications. We also systematically indicate the structure of the classified states and generate them.},
doi = {10.1103/PHYSREVA.84.012325},
url = {https://www.osti.gov/biblio/22038631},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {Fri Jul 15 00:00:00 EDT 2011},
month = {Fri Jul 15 00:00:00 EDT 2011}
}