SAMOP 2021 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 10: Certification and Benchmarking of Quantum Systems
QI 10.2: Vortrag
Donnerstag, 23. September 2021, 11:00–11:15, H5
Optimal quantum state tomography measurement set under noise — Violeta Ivanova-Rohling1,2,3, •Niklas Rohling1, and Guido Burkard1 — 1Department of Physics, University of Konstanz, Germany — 2Zukunftskolleg, University of Konstanz — 3Department of Mathematical Foundations of Computer Sciences, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Quantum state tomography (QST) is an essential yet time-consuming tool for the verification of a quantum device. An informaion-theory-based quality measure for QST measurement sets allowed Wootters and Fields to prove that a set of n+1 mutually unbiased bases is ideal for QST in an n-dimensional system with non-degenerate measurements [1]. The same quality measure can be used to obtain a numerically optimized QST measurement set for degenerate measurements, e.g. for measurements projecting on one-dimensional [2] or n/2-dimensional subspaces [3]. Here, we add a noise-dependent correction factor to the quality measure. We find optimal QST measurement schemes for two qubits measured in a standard basis preceded by a gate sequence including noisy two-qubit gates.
Funded by Zukunftskolleg (U. Konstanz) and Bulgarian National Science Fund,contract No KP-06-PM 32/8.
[1] Wootters, Fields, Ann. Phys. 191, 363 (1989).
[2] Ivanova-Rohling, Rohling, PRA 100, 032332 (2019).
[3] Ivanova-Rohling, Burkard, Rohling, arXiv:2012.14494.