Matolcsi, Máté (2012) A fourier analytic approach to the problem of mutually unbiased bases. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 49 (4). pp. 482-491. ISSN 0081-6906
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Abstract
We give a new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique borrowed from additive combinatorics. The method provides a short and elegant generalization of the fact that there are at most d + 1 MUBs in d. It may also yield a proof that no complete system of MUBs exists in some composite dimensions - a long standing open problem.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Secondary 05B10, 47L05; Primary 15A30; Mutually unbiased bases; difference sets; Delsarte's method; complex Hadamard matrices; DIMENSIONS; BOUNDS; ORDER 6; STATE DETERMINATION; COMPLEX HADAMARD-MATRICES |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 09 Dec 2013 14:54 |
| Last Modified: | 09 Dec 2013 14:54 |
| URI: | http://real.mtak.hu/id/eprint/7889 |
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