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Open Quantum Systems Decoherence
An application of positive definite functions to the problem of MUBs
arXiv
Authors: Mihail N. Kolountzakis, Máté Matolcsi, Mihály Weiner
Year
2016
Paper ID
41543
Status
Preprint
Abstract Read
~2 min
Abstract Words
63
Citations
N/A
Abstract
We present a new approach to the problem of mutually unbiased bases (MUBs), based on positive definite functions on the unitary group. The method provides a new proof of the fact that there are at most d+1 MUBs in {mathbb C}d. It may also lead to a proof of non-existence of complete systems of MUBs in dimension 6 via a conjectured algebraic identity.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We present a new approach to the problem of mutually unbiased bases (MUBs), based on positive definite functions on the unitary group.
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