English

The Volume of Two-Qubit States by Information Geometry

Mathematical Physics 2019-02-20 v1 math.MP Quantum Physics

Abstract

Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the classical Fisher metric on phase space probability representation of quantum states gives the same qualitative results with respect to different versions of the quantum Fisher metric.

Keywords

Cite

@article{arxiv.1802.08835,
  title  = {The Volume of Two-Qubit States by Information Geometry},
  author = {Milajiguli Rexiti and Domenico Felice and Stefano Mancini},
  journal= {arXiv preprint arXiv:1802.08835},
  year   = {2019}
}