Bell states, mutually unbiased bases and the Mean King's problem
| dc.creator | Durt, Thomas | |
| dc.date | 2004-01-08 | |
| dc.date | 2005-06-27 | |
| dc.date.accessioned | 2026-07-07T06:32:15Z | |
| dc.date.available | 2026-07-07T06:32:15Z | |
| dc.description | When the state of a quantum system belongs to a N-dimensional Hilbert space, with N the power of a prime number, it is possible to associate to the system a finite field (Galois field) with N elements. In this paper, we introduce generalized Bell states that can be intrinsically expressed in terms of the field operations.These Bell states are in one to one correspondence with the N^2 elements of the generalised Pauli group or Heisenberg-Weyl group. This group consists of discrete displacement operators and provides a discrete realisation of the Weyl function.Thanks to the properties of generalised Bell states and of quadratic extensions of finite fields, we derive a particular solution for the Mean King's problem. This solution is in turn shown to be in one to one correspondence with a set of N^2 self-adjoint operators that provides a discrete realisation of the Wigner quasi-distribution. | |
| dc.description | Original paper replaced in June 2005 for the following reason: new material added (connections with Aravind's general solution and discrete Wigner functions were established in the meanwhile) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0401037 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0401037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98846 | |
| dc.subject | Quantum Physics | |
| dc.title | Bell states, mutually unbiased bases and the Mean King's problem | |
| dc.type | text |