2026-06-30T03:13:19Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/72512023-08-25T10:42:04Zcom_20.500.14352_14col_20.500.14352_15

Maximal gap between local and global distinguishability of bipartite quantum states Corrêa, William H. G. Lami, Ludovico Palazuelos Cabezón, Carlos 51-73 530.145 Quantum Physics Física matemática 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 nA×nB bipartite quantum system can be discriminated via local measurements with an error probability no larger than 1/2 (1 − 1/ cmin{nA,nB}, where 1 ≤ c ≤ 2√2 is a universal constant, and our bound scales provably optimally with the local dimensions nA, nB. Mathematically, this is achieved by showing that the distinguishability norm ||·||LO associated with local measurements satisfies that ||·||≤ 2√2min{nA, nB} ||·|LO, where ||·||1 is the trace norm. Ministerio de Economía y Competitividad (MINECO) Ministerio de Ciencia e Innovación (MICINN) Comunidad de Madrid Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas FALSE unpub 2023-06-17T08:28:58Z 2023-06-17T08:28:58Z 2021 journal article https://hdl.handle.net/20.500.14352/7251 XXXX-XXXX eng MTM2017-88385-P SEV-2015-0554-16-3. QUITEMAD-CM (P2018/TCS4342) open access application/pdf