The Volume of Two-Qubit States by Information Geometry

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.

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Cited by in corpus (5)

• Geometry and Entanglement of Two-Qubit States in the Quantum Probabilistic Representation
• Geometry of generalized Pauli channels
• Numerical and Exact Analyses of Bures and Hilbert-Schmidt Separability and PPT-Probabilities
• Probing the geometry of two-qubit state space by evolution
• Extensions of Generalized Two-Qubit Separability Probability Analyses to Higher Dimensions, Additional Measures and New Methodologies