A new proof for the existence of mutually unbiased bases
| dc.creator | Bandyopadhyay, Somshubhro | |
| dc.creator | Boykin, P. Oscar | |
| dc.creator | Roychowdhury, Vwani | |
| dc.creator | Vatan, Farrokh | |
| dc.date | 2001-03-29 | |
| dc.date | 2001-09-07 | |
| dc.date.accessioned | 2026-07-07T06:01:51Z | |
| dc.date.available | 2026-07-07T06:01:51Z | |
| dc.description | We develop a strong connection between maximally commuting bases of orthogonal unitary matrices and mutually unbiased bases. A necessary condition of the existence of mutually unbiased bases for any finite dimension is obtained. Then a constructive proof of the existence of mutually unbiased bases for dimensions which are power of a prime is presented. It is also proved that in any dimension d the number of mutually unbiased bases is at most d+1. An explicit representation of mutually unbiased observables in terms of Pauli matrices are provided for d=2^m. | |
| dc.description | Revised version. To appear in the special issue of Algorithmica on Quantum Algorithms and Quantum Cryptography | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0103162 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0103162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89406 | |
| dc.subject | Quantum Physics | |
| dc.title | A new proof for the existence of mutually unbiased bases | |
| dc.type | text |