| Full text | |
| Author(s): |
Correa, Willian H. G.
;
Lami, Ludovico
;
Palazuelos, Carlos
Total Authors: 3
|
| Document type: | Journal article |
| Source: | IEEE TRANSACTIONS ON INFORMATION THEORY; v. 68, n. 11, p. 9-pg., 2022-11-01. |
| Abstract | |
We prove a tight and close-to-optimal lower bound on the effectiveness of local quantum measurements (without classical communication) at discriminating any two bipartite quantum states. Our result implies, for example, that any two orthogonal quantum states of a n(A) x n(B) bipartite quantum system can be discriminated via local measurements with an error probability no larger than 1/2 (1 - 1/c min{nA,nB}), where 1 <= c <= 2 root 2 is a universal constant, and our bound scales provably optimally with the local dimensions n(A), n(B). Mathematically, this is achieved by showing that the distinguishability norm parallel to . parallel to LO associated with local measurements satisfies that parallel to . parallel to <= 2 root 2 min{n(A), n(B)} parallel to.parallel to LO, where parallel to . parallel to LO, where parallel to.parallel to(1) is the trace norm. (AU) | |
| FAPESP's process: | 16/25574-8 - Geometry of Banach Spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/09205-0 - Applications of Functional Analysis to Quantum Information Theory |
| Grantee: | Willian Hans Goes Corrêa |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 18/03765-1 - Twisted Hilbert and complexity in Banach spaces |
| Grantee: | Willian Hans Goes Corrêa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |