Compressively Certifying Quantum Measurements
Gianani , Teo YS, Cimini , Jeong H, Leuchs G, Barbieri M, Sanchez-Soto LL (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 1
Article Number: 020307
Journal Issue: 2
DOI: 10.1103/PRXQuantum.1.020307
Abstract
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.
Authors with CRIS profile
Involved external institutions
Max-Planck-Institut für die Physik des Lichts (MPL) / Max Planck Institute for the Science of Light
Germany (DE)
Seoul National University (SNU) / 서울대학교
Korea, Republic of (KR)
Università degli Studi Roma Tre
Italy (IT)
Germany (DE)
Seoul National University (SNU) / 서울대학교
Korea, Republic of (KR)
Università degli Studi Roma Tre
Italy (IT)
How to cite
APA:
Gianani, ., Teo, Y.S., Cimini, ., Jeong, H., Leuchs, G., Barbieri, M., & Sanchez-Soto, L.L. (2020). Compressively Certifying Quantum Measurements. PRX Quantum, 1(2). https://doi.org/10.1103/PRXQuantum.1.020307
MLA:
Gianani, , et al. "Compressively Certifying Quantum Measurements." PRX Quantum 1.2 (2020).
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