Bases for qudits from a nonstandard approach to SU(2)
Journal Article
·
· Physics of Atomic Nuclei
- Universite de Lyon (France)
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{sup p}. Repeated application of the formula can be used for generating mutually unbiased bases in C{sup d} with d = p{sup e} (e {>=} 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{sup e}.
- OSTI ID:
- 22043900
- Journal Information:
- Physics of Atomic Nuclei, Vol. 74, Issue 6; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
Similar Records
Criteria for exact qudit universality
Non Abelian structures and the geometric phase of entangled qudits
Tripartite entanglement in qudit stabilizer states and application in quantum error correction
Journal Article
·
Sun May 15 00:00:00 EDT 2005
· Physical Review. A
·
OSTI ID:22043900
Non Abelian structures and the geometric phase of entangled qudits
Journal Article
·
Mon Dec 15 00:00:00 EST 2014
· Annals of Physics (New York)
·
OSTI ID:22043900
Tripartite entanglement in qudit stabilizer states and application in quantum error correction
Journal Article
·
Tue Nov 15 00:00:00 EST 2011
· Physical Review. A
·
OSTI ID:22043900