2026-06-27T15:58:47Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/84212023-08-28T15:52:08Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Gianani, I.
author
Teo, Yong Siah
author
Cimini, V.
author
Jeong, Hyunseok
author
Leuchs, Gerd
author
Barbieri, M.
author
Sánchez Soto, Luis Lorenzo
2023-06-17T09:13:18Z
2023-06-17T09:13:18Z
2020-10-30
2691-3399
10.1103/PRXQuantum.1.020307
https://hdl.handle.net/20.500.14352/8421
http://dx.doi.org/10.1103/PRXQuantum.1.020307
https://journals.aps.org
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.
eng
Atribución 3.0 España
Compressively certifying quantum measurements
journal article
URL
https://docta.ucm.es/bitstreams/d775c634-c8dc-4e82-b079-fe087a626be7/download
File
MD5
a9b19c9a9a85c3f6bf2917fa509e18da
2284888
application/pdf
SanchezSotoLL 39 LIBRE+CC.pdf