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Article overview
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Mutually unbiased bases for quantum states defined over p-adic numbers | Wim van Dam
; Alexander Russell
; | Date: |
1 Sep 2011 | Abstract: | We describe sets of mutually unbiased bases (MUBs) for quantum states defined
over the p-adic numbers Q_p, i.e. the states that can be described as elements
of the (rigged) Hilbert space L2(Q_p). We find that for every prime p>2 there
are at least p+1 MUBs, which is in contrast with the situation for quantum
states defined over the real line R for which only 3 MUBs are known.
We comment on the possible reason for the difference regarding MUBs between
these two infinite dimensional Hilbert spaces. | Source: | arXiv, 1109.0060 | Services: | Forum | Review | PDF | Favorites |
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