Physics – Quantum Physics
Scientific paper
2008-07-11
Collection of Czechoslovak Chemical Communications 73 (2008) 1281-1298
Physics
Quantum Physics
Dedicated to Professor Rudolf Zahradnik on the occasion of his 80th birthday. Invited paper to be published in Collection of C
Scientific paper
10.1135/cccc20081281
Symmetry adapted bases in quantum chemistry and bases adapted to quantum information share a common characteristics: both of them are constructed from subspaces of the representation space of the group SO(3) or its double group (i.e., spinor group) SU(2). We exploit this fact for generating spin bases of relevance for quantum systems with cyclic symmetry and equally well for quantum information and quantum computation. Our approach is based on the use of generalized Pauli matrices arising from a polar decomposition of SU(2). This approach leads to a complete solution for the construction of mutually unbiased bases in the case where the dimension d of the considered Hilbert subspace is a prime number. We also give the starting point for studying the case where d is the power of a prime number. A connection of this work with the unitary group U(d) and the Pauli group is brielly underlined.
No associations
LandOfFree
Generalized spin bases for quantum chemistry and quantum information does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized spin bases for quantum chemistry and quantum information, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized spin bases for quantum chemistry and quantum information will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-576035