RT Journal Article
T1 Compressively certifying quantum measurements
A1 Gianani, I.
A1 Teo, Yong Siah
A1 Cimini, V.
A1 Jeong, Hyunseok
A1 Leuchs, Gerd
A1 Barbieri, M.
A1 Sánchez Soto, Luis Lorenzo
AB We introduce a reliable compressive procedure to uniquely characterize any given low-rank quantum measurement using a minimal set of probe states that is based solely on data collected from the unknown measurement itself. The procedure is most compressive when the measurement constitutes pure detection outcomes, requiring only an informationally complete number of probe states that scales linearly with the system dimension. We argue and provide numerical evidence showing that the minimal number of probe states needed is even generally below the numbers known in the closely related classical phase-retrieval problem because of the quantum constraint. We also present affirmative results with polarization experiments that illustrate significant compressive behaviors for both two- and four-qubit detectors just by using random product probe states.
PB American Physical Society
SN 2691-3399
YR 2020
FD 2020-10-30
LK https://hdl.handle.net/20.500.14352/8421
UL https://hdl.handle.net/20.500.14352/8421
LA eng
NO © 2021 Published by the American Physical Society.We thank Emanuele Roccia for useful discussion. This work is supported in part by the National Research Foundation of Korea (NRF) (Grant Nos. NRF-2019R1A6A1A10073437, No. NRF-2019M3E4A1080074, and No. NRF-2020R1A2C1008609), the Spanish MINECO (Grant Nos. FIS201567963-P and No. PGC2018-099183-B-I00), European Union’s Horizon 2020 research and innovation program (Project Quan-tERA ApresSF), and a Mega-grant of the Ministry of Education and Science of the Russian Federation (Contract No.14.W03.31.0032). I.G. is supported by Ministero dell’Istruzione, dell’Università e della Ricerca Grant of Excellence Departments (ARTICOLO 1, COMMI 314-337 LEGGE 232/2016).
NO Uniòn Europea. Horizonte 2020
NO Ministerio de Economía y Competitividad (MINECO)
NO Ministero dell’Istruzione, dell’Università e della Ricerca
DS Docta Complutense
RD 7 abr 2025