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QI: Fachverband Quanteninformation

QI 12: Poster I

QI 12.18: Poster

Dienstag, 19. März 2024, 11:00–14:30, Poster B

Quantum measurement tomography — •Juan Manuel Henning¹, Christopher Cedzich², and Martin Kliesch¹ — ¹TUHH, Hamburg, Germany — ²HHU, Düsseldorf, Germany

Measuring quantum systems is essential for obtaining the result of any quantum computation or simulation. Thus, obtaining a mathematical description of the measurement process, with as much information as possible, is highly desirable.

Quantum measurement tomography protocols are expensive and high-information-gain tools that intend to infer a full mathematical description of an unknown measurement device from experimental data. Inspired by quantum state and process tomography, we find and investigate the performance guarantee of a projected least squares protocol. We bound the estimation error of the obtained quantum measurement description in an operationally justified metric, which is given by the diamond norm. Our bounds feature a better scaling than the ones inherited from optimal quantum process tomography and provide the best available guarantees for this metric.

Keywords: Tomohraphy; Characterization; POVM; Measurement; Diamond distance