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arXiv · 1004.0929

Bases for qudits from a nonstandard approach to SU(2)

Maurice Robert Kibler
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Abstract

Bases of finite-dimensional Hilbert spaces (in dimension d) of relevance for quantum information and quantum computation are constructed from angular momentum theory and su(2) Lie algebraic methods. We report on a formula for deriving in one step the (1+p)p qupits (i.e., qudits with d = p a prime integer) of a complete set of 1+p mutually unbiased bases in C^p. Repeated application of the formula can be used for generating mutually unbiased bases in C^d with d = p^e (e > or = 2) a power of a prime integer. A connection between mutually unbiased bases and the unitary group SU(d) is briefly discussed in the case d = p^e.

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Maurice Robert Kibler. 2010-04-06. Bases for qudits from a nonstandard approach to SU(2). https://doi.org/10.1134/s1063778811060172

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