Discrete Wigner functions and quantum computational speedup
| dc.creator | Galvao, Ernesto F. | |
| dc.date | 2004-05-13 | |
| dc.date | 2005-04-05 | |
| dc.date.accessioned | 2026-07-07T06:22:50Z | |
| dc.date.available | 2026-07-07T06:22:50Z | |
| dc.description | In [Phys. Rev. A 70, 062101 (2004)] Gibbons et al. defined a class of discrete Wigner functions W to represent quantum states in a finite Hilbert space dimension d. I characterize a set C_d of states having non-negative W simultaneously in all definitions of W in this class. For d<6 I show C_d is the convex hull of stabilizer states. This supports the conjecture that negativity of W is necessary for exponential speedup in pure-state quantum computation. | |
| dc.description | 7 pages, 2 figures, RevTeX. v2: clarified discussion on dynamics, added refs., published version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0405070 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0405070 | |
| dc.identifier | Phys. Rev. A 71, 042302 (2005) | |
| dc.identifier | doi:10.1103/PhysRevA.71.042302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96036 | |
| dc.subject | Quantum Physics | |
| dc.title | Discrete Wigner functions and quantum computational speedup | |
| dc.type | text |