Probability measure generated by the superfidelity
Zbigniew Pucha{\l}a, Jaros{\l}aw Adam Miszczak
TL;DR
This paper introduces a new probability measure on the space of density matrices based on superfidelity, providing formulas for eigenvalue distributions and methods for generating matrices according to this measure.
Contribution
It presents a novel measure induced by superfidelity, along with formulas and methods for statistical analysis and matrix generation.
Findings
Derived the probability density function for eigenvalues under the measure
Analyzed statistical properties of density matrices with this measure
Provided a practical method for generating density matrices according to the measure
Abstract
We study the probability measure on the space of density matrices induced by the metric defined by using superfidelity. We give the formula for the probability density of eigenvalues. We also study some statistical properties of the set of density matrices equipped with the introduced measure and provide a method for generating density matrices according to the introduced measure.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.