The Optimal Pure Gaussian State Canonically Associated to a Gaussian Quantum State
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Maurice de Gosson |
| Title: | The Optimal Pure Gaussian State Canonically Associated to a Gaussian Quantum State |
| Journal: | Physics letters. A |
| Year: | 2004 |
| Volume: | 330 |
| Issue: | 3-4 |
| Pagination: | 161-167 |
| ISSN: | 0375-9601 |
| Publisher: | Elsevier |
| City: | Amsterdam |
| ISI number: | 000223962300006 |
| Organization: | Blekinge Institute of Technology |
| Department: | Department of Health, Science and Mathematics (Institutionen för hälso- och naturvetenskap) Dept. of Health, Science and Mathematics S-371 79 Karlskrona +46 455 38 50 00 http://www.bth.se/ihn/ |
| Language: | English |
| Abstract: | We show, using the symplectically invariant notion of 'quantum blob', that it is possible to attach a canonical optimal Gaussian pure state to an arbitrary quantum state. When at least one pair of conjugate variables satisfies the minimum uncertainty condition, then the associated Gaussian is uniquely determined up to an overall phase factor. (C) 2004 Elsevier B.V. All rights reserved |
| Subject: | Mathematics\Geometry |
| Keywords: | symplectic camel, uncertainty, Gaussian state, Wigner function, quantum blob |
