Aspects of mutually unbiased bases in odd prime power dimensions
نویسنده
چکیده
In a complex vector space of dimension N , by a full set of mutually unbiased bases (MUB’s) we mean a set of N+1 orthonormal bases such that the modulus square of the scalar product of any member of one basis with any member of any other basis is equal to 1/N . If we take e to denote the k vector in the α orthonormal basis, then having a full set of MUB’s amounts to having a collection e ; α = 0, 1, · · · , N ; k = 0, 1, · · · , N − 1 of N(N + 1), N -dimensional complex vectors satisfying
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Abstract: Mutually unbiased bases generalize the X, Y and Z qubit bases. They possess numerous applications in quantum cryptography and quantum information. It is well-known that in prime power dimensions N = p (with p prime and m a positive integer) there exists a maximal set of N + 1 mutually unbiased bases. In the present paper, we derive a new, simple and compact expression for those bases,...
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