Maximally entangled mixed states under nonlocal unitary operations in two qubits

2000/03/07 by Satoshi Ishizaka, Tohya Hiroshima · 15 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.62.022310

published as Phys. Rev. A 62, 022310 (2000) · 4 pages, 3 figures

arxiv created 2000/03/07 · openalex publication_date 2000/07/18 · arxiv updated 2009/12/01 · openalex created_date 2017/05/26 · openalex updated_date 2026/07/28

Abstract

We propose mixed states in two qubits that have a property that the amount of entanglement of these states cannot be increased by any unitary transformation. The property is proven when the rank of the states is less than 4, and confirmed numerically in the other general cases. The corresponding entanglement of formation specified by its eigenvalues gives an upper bound of that for density matrices with the same eigenvalues. Further, as a simple application of the upper bound of the entanglement of formation, we analyze the entanglement of formation of the state generated by a decohered controlled-NOT gate in the spin-boson model.

Citations

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• Dynamics of the dissipative two-state system
• Quantifying Entanglement

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• Generation of maximally entangled mixed states of two atoms via on-resonance asymmetric atom-cavity couplings
• Maximally genuine multipartite entangled mixed X-states ofN-qubits
• Study on Entanglement and its Utility in Information Processing
• Maximal coherence and the resource theory of purity
• Maximally discordant mixed states of two qubits
• Entanglement versus energy in the entanglement transfer problem
• Entangling two atoms via spontaneous emission
• Stabilizing coherence with nested environments: a numerical study using kicked Ising models
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