Character of locally inequivalent classes of states and entropy of entanglement

2008/04/26 by Indrani Chattopadhyay, Debasis Sarkar · 1 citation
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.77.050305

published as Phys. Rev. A 77, 050305(R) (2008) · 4 pages, revtex4, no figure, accepted in Physical Review A (rapid communications)

arxiv created 2008/04/26 · openalex publication_date 2008/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this Rapid Communication we have established the physical character of pure bipartite states with the same amount of entanglement in the same Schmidt rank that either they are local unitarily connected or they are incomparable. There exists an infinite number of deterministically locally inequivalent classes of pure bipartite states in the same Schmidt rank (starting from three) having the same amount of entanglement. Further, if there exists incomparable states with the same entanglement in higher Schmidt ranks (greater than three), then they should differ in at least three Schmidt coefficients.

Citations

• No-Cloning and No-Deleting Theorems through the Existence of Incomparable States Under LOCC
• Bound Entanglement Provides Convertibility of Pure Entangled States
• Thermodynamics and the measure of entanglement

Cited by

• Local transformations of superpositions of entangled states