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Quantum Physics

arXiv:2108.03448 (quant-ph)
[Submitted on 7 Aug 2021 (v1), last revised 30 Apr 2022 (this version, v2)]

Title:Quantum State Tomography as a Bilevel Problem, Utilizing I-Q Plane Data

Authors:Georgios Korpas, Jakub Marecek
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Abstract:It is natural to ask how to utilize actual measurements, such as the so-called IQ-plane data obtained in the dispersive readout of transmon qubits, in the estimation of the state of a quantum system. We formulate the joint problem of discrimination and quantum state tomography as a bilevel optimization problem and show how to solve it. The use of the joint problem can improve the sample complexity (or the reconstruction error for a fixed number of measurements) compared with traditional techniques that decompose the problem into the discrimination and state tomography based on the estimated expectation values of certain projective measurement operators.
Subjects: Quantum Physics (quant-ph); Optimization and Control (math.OC)
Cite as: arXiv:2108.03448 [quant-ph]
  (or arXiv:2108.03448v2 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2108.03448

Submission history

From: Jakub Marecek [view email]
[v1] Sat, 7 Aug 2021 13:22:36 UTC (1,144 KB)
[v2] Sat, 30 Apr 2022 12:43:30 UTC (1,154 KB)
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