Biseparability of 3-qubits density matrices using Hilbert-Schmidt decompositions: Sufficient conditions and explicit expressions

2016/10/25 by Y. Ben-Aryeh, A. Mann, Ben-Aryeh, Y. +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.1610.07820

openalex publication_date 2016/10/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Hilbert-Schmidt (HS) decompositions and Frobenius norms are used to analyze biseparability of 3-qubit systems, with particular emphasis on density matrices with maximally disordered subsystems (MDS) and on the W state mixed with white noise. The biseparable form of a MDS density matrix is obtained by using the Bell states of a 2-qubit subsystem, multiplied by density matrices of the third qubit, which include the relevant HS parameters. Using our methods a sufficient condition and explicit biseparability of the W state mixed with white noise are given. They are compared with the sufficient condition for explicit full separability given in a previous work.

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• Strong and weak separability conditions for two-qubits density matrices
• Entanglement and separability of qubits systems related to measurement processes, Hilbert-Schmidt(HS)decompositions and general Bell states