Matolcsi, Máté and Weiner, Mihály (2021) A Rigidity Property of Complete Systems of Mutually Unbiased Bases. OPEN SYSTEMS & INFORMATION DYNAMICS, 28 (3). ISSN 1230-1612
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Official URL: http://doi.org/10.1142/S1230161221500128
Abstract
Suppose that for some unit vectors b(1), ... b(n) in C-d we have that for any j not equal k b(j) is either orthogonal to b(k) or vertical bar < b(j), b(k)>vertical bar(2) = 1/d (i.e., b(j) and b(k) are unbiased). We prove that if n = d(d + 1), then these vectors necessarily form a complete system of mutually unbiased bases, that is, they can be arranged into d + 1 orthonormal bases, all being mutually unbiased with respect to each other.
| Item Type: | Article |
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| Additional Information: | Funding Agency and Grant Number: NKFI [K129335, K132097, K124152, KH129601]; Bolyai Janos Fellowship of the Hungarian Academy of Sciences; New National Excellence Program of the Ministry for Innovation and Technology [UNKP-20-5] Funding text: M. Matolcsi was supported by NKFI grants K132097, K129335. M. Weiner was supported by the Bolyai Janos Fellowship of the Hungarian Academy of Sciences, the UNKP-20-5 New National Excellence Program of the Ministry for Innovation and Technology and by NKFI grants K132097, K124152 and KH129601. |
| Uncontrolled Keywords: | Mutually unbiased bases; Physics, Mathematical; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 23 Sep 2022 08:01 |
| Last Modified: | 23 Sep 2022 08:01 |
| URI: | http://real.mtak.hu/id/eprint/149457 |
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