Physics – Quantum Physics
Scientific paper
1997-10-23
Phys.Lett. A244 (1998) 35-42
Physics
Quantum Physics
8 pages, LaTeX, 4 postscript figures, minor changes, to appear in Physics Letters A
Scientific paper
10.1016/S0375-9601(98)00319-3
Hubner's formula for the Bures (statistical distance) metric is applied to both a one-parameter and a two-parameter series (n=2,...,7) of sets of 2^n x 2^n density matrices. In the doubly-parameterized series, the sets are comprised of the n-fold tensor products --- corresponding to n independent, identical quantum systems --- of the 2 x 2 density matrices with real entries. The Gaussian curvatures of the corresponding Bures metrics are found to be constants (4/n). In the second series of 2^n x 2^n density matrices studied, the singly-parameterized sets are formed --- following a study of Krattenthaler and Slater --- by averaging with respect to a certain Gibbs distribution, the n-fold tensor products of the 2 x 2 density matrices with complex entries. For n = 100, we are also able to compute the Bures distance between two arbitrary (not necessarily neighboring) density matrices in this particular series, making use of the eigenvalue formulas of Krattenthaler and Slater, together with the knowledge that the 2^n x 2^n density matrices in this series commute.
Slater Paul B.
No associations
LandOfFree
Bures Metrics for Certain High-Dimensional Quantum Systems 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 Bures Metrics for Certain High-Dimensional Quantum Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bures Metrics for Certain High-Dimensional Quantum Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-43094