Local transformations of superpositions of entangled states

2009/01/22 by Iulia Ghiu
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1016/j.physleta.2009.01.021

published as Physics Letters A 373, 922 (2009)

openalex publication_date 2009/01/22 · arxiv created 2009/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppose that we have two entangled states \ket ϕ₁, \ketψ₁ that cannot be converted to any of other two states \ketϕ₂, \ketψ₂ by local operations and classical communication. We analyze the possibility of locally transforming a superposition of \ketϕ₁ and \ketψ₁ into a superposition of \ketϕ₂ and \ketψ₂. By using the Nielsen's theorem we find the necessary and sufficient conditions for this conversion to be performed.

Citations

• Character of locally inequivalent classes of states and entropy of entanglement
• Bounds on the multipartite entanglement of superpositions
• Bounds on negativity of superpositions
• Tight bounds on the concurrence of quantum superpositions
• Bounds on bipartitely shared entanglement reduced from superposed tripartite quantum states