Classicality in discrete Wigner functions

Details Classicality in discrete Wigner functions Classicality in discrete Wigner functions

2005-06-27

arxiv.org/abs/quant-ph/0506222v1

Phys. Rev. A 73, 012301 (2006)

Physics

Quantum Physics

10 pages, 1 figure

Scientific paper

10.1103/PhysRevA.73.012301

Gibbons et al. [Phys. Rev. A 70, 062101(2004)] have recently defined a class of discrete Wigner functions W to represent quantum states in a Hilbert space with finite dimension. We show that the only pure states having non-negative W for all such functions are stabilizer states, as conjectured by one of us [Phys. Rev. A 71, 042302 (2005)]. We also show that the unitaries preserving non-negativity of W for all definitions of W form a subgroup of the Clifford group. This means pure states with non-negative W and their associated unitary dynamics are classical in the sense of admitting an efficient classical simulation scheme using the stabilizer formalism.

Affiliated with

Also associated with

No associations

Rating

Classicality in discrete Wigner functions 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 Classicality in discrete Wigner functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classicality in discrete Wigner functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-646844