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Markov property and strong additivity of von Neumann entropy for graded quantum systems
| Title: | Markov property and strong additivity of von Neumann entropy for graded quantum systems |
| Authors: | Moriya, Hajime Browse this author |
| Issue Date: | Mar-2006 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of mathematical physics |
| Volume: | 47 |
| Issue: | 3 |
| Start Page: | 033510 |
| Publisher DOI: | 10.1063/1.2176911 |
| Abstract: | The quantum Markov property is equivalent to the strong additivity of von Neumann entropy for graded quantum systems. The additivity of von Neumann entropy for bipartite graded systems implies the statistical independence of states. However, the structure of Markov states for graded systems is different from that for tensorproduct systems which have trivial grading. For three-composed graded systems we have U(1)-gauge invariant Markov states whose restriction to the marginal pair of subsystems is nonseparable. |
| Rights: | Copyright © 2006 American Institute of Physics |
| Relation: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/8421 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 守谷 創
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