2003/07/30 by Anthony Chefles, ANTHONY CHEFLES, Richard Jozsa +3 · 7 citations
Mathematics · Physics and Astronomy · #Physical system #Quantum #Quantum Mechanics and Applications #Quantum operation #Quantum state #Quantum system #Set (abstract data type) #Simple (philosophy) #Spectral Theory in Mathematical Physics #Transformation (genetics) #advanced mathematical theories #quant-ph
paper · pdf · doi:10.1142/s0219749904000031
published as Int. J. Quantum Information, vol. 2, no. 1, 11-21 (2004) · Latex2e, 8 pages
arxiv created 2003/07/30 · openalex publication_date 2004/03/01 · openalex created_date 2016/06/24 · arxiv updated 2017/08/01 · openalex updated_date 2026/08/05
Let A=ρ 1 ,…,ρ n be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B=σ 1 ,…,σ n that guarantee the existence of a physical transformation taking ρ i to σ i for all i. Uhlmann has given an elegant such condition when both sets comprise pure states. We give a simple proof of this condition and develop some consequences. Then we consider multi-probabilistic transformations between sets of pure states which leads to conditions for the problem of transformability between A and B when one set is pure and the other is arbitrary.