Non-negative Wigner functions in prime dimensions
| dc.creator | Gross, David | |
| dc.date | 2007-01-31 | |
| dc.date.accessioned | 2026-07-07T07:49:26Z | |
| dc.date.available | 2026-07-07T07:49:26Z | |
| dc.description | According to a classical result due to Hudson, the Wigner function of a pure, continuous variable quantum state is non-negative if and only if the state is Gaussian. We have proven an analogous statement for finite-dimensional quantum systems. In this context, the role of Gaussian states is taken on by stabilizer states. The general results have been published in [D. Gross, J. Math. Phys. 47, 122107 (2006)]. For the case of systems of odd prime dimension, a greatly simplified proof can be employed which still exhibits the main ideas. The present paper gives a self-contained account of these methods. | |
| dc.description | 5 pages. Special case of a result proved in quant-ph/0602001. The proof is greatly simplified, making the general case more accessible. To appear in Appl. Phys. B as part of the proceedings of the 2006 DPG Spring Meeting (Quantum Optics and Photonics section) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0702004 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0702004 | |
| dc.identifier | Appl. Phys. B 86, 367-370 (2007) | |
| dc.identifier | doi:10.1007/s00340-006-2510-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124848 | |
| dc.subject | Quantum Physics | |
| dc.title | Non-negative Wigner functions in prime dimensions | |
| dc.type | text |