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

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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http://hal.in2p3.fr/in2p3-00470424
Contributor : Maurice Robert Kibler <>
Submitted on : Tuesday, April 6, 2010 - 3:13:59 PM
Last modification on : Thursday, March 26, 2020 - 4:42:50 PM
Long-term archiving on: : Wednesday, July 7, 2010 - 8:28:20 PM

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  • HAL Id : in2p3-00470424, version 1
  • ARXIV : 1004.0929

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Maurice Robert Kibler. Bases for qudits from a nonstandard approach to SU(2). 13th International Conference on Symmetry Methods in Physics (SYMPHYS XIII), Jul 2009, Dubna, Russia. pp.923-929. ⟨in2p3-00470424⟩

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