Spectrum and separability of mixed 2-qubit X-states

2016/09/20 by A. Khvedelidze, Arsen Khvedelidze, Khvedelidze, Arsen +2
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1609.06209

13 pages, 2 figures, 1 table

arxiv created 2016/09/20 · openalex publication_date 2016/09/20 · arxiv updated 2016/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The separable mixed 2-qubit X-states are classified in accordance with degeneracies in the spectrum of density matrices. It is shown that there are four classes of separable X-states, among them: one 4D family, a pair of 2D family and a single, zero-dimensional maximally mixed state.

Related

• Strong and weak separability conditions for two-qubits density matrices
• Separability from Spectrum for Qubit-Qudit States
• Criteria of partial separability of multipartite qubit mixed-states
• X-states of a qubit pair of double classicality
• Explicit constructions of all separable two-qubits density matrices and related problems for three-qubits systems