Simple algorithm for local conversion of pure states

2000/06/13 by Jens G Jensen, Jens G. Jensen, Rüdiger Schack +1 · 3 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.63.062303

published as Phys. Rev. A 63, 062303 (2001) · 5 pages, LaTeX, reference added

arxiv created 2000/06/13 · openalex publication_date 2001/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe an algorithm for converting one bipartite quantum state into another using only local operations and classical communication, which is much simpler than the original algorithm given by Nielsen [Phys. Rev. Lett. 83, 436 (1999)]. Our algorithm uses only a single measurement by one of the parties, followed by local unitary operations which are permutations in the local Schmidt bases.

Citations

• Quantum authentication and key distribution using catalysis
• Quantum secure identification using entanglement and catalysis

Cited by

• Entanglement transformation with no classical communication
• Faithful remote state preparation using finite classical bits and a nonmaximally entangled state
• The uniqueness theorem for entanglement measures