bases in
نویسنده
چکیده
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, in terms of the (operations of the) associated finite field (Galois division ring) of N elements. This expression generalizes the expressions previously obtained by Ivanovic in odd prime dimensions (J. Phys. A, 14, 3241 (1981)), and Wootters and Fields (Ann. Phys. 191, 363 (1989)) in prime power dimensions.
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