Classification of multiqubit mixed states: Separability and distillability properties

1999/11/10 by Wolfgang Dür, W. Dür, J. I. Cirac · 4 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.61.042314

published as Phys. Rev. A 61, 042314 (2000) · 12 pages, 2 figures

arxiv created 1999/11/10 · openalex publication_date 2000/03/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give a complete, hierarchic classification for arbitrary multiqubit mixed states based on the separability properties of certain partitions. We introduce a family of N-qubit states to which any arbitrary state can be depolarized. This family can be viewed as the generalization of Werner states to multiqubit systems. We fully classify those states with respect to their separability and distillability properties. This provides sufficient conditions for nonseparability and distillability for arbitrary states.

Citations

• Quantum repeaters based on entanglement purification
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• Separability of mixed states: necessary and sufficient conditions

Cited by

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• Any multipartite entangled state violating the Mermin-Klyshko inequality can be distilled for almost all bipartite splits
• Quantifying multipartite nonlocality via the size of the resource
• Efficient algorithm for multiqudit twirling for ensemble quantum computation