Berlin 2024 – scientific programme

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QI: Fachverband Quanteninformation

QI 24: Verification and Benchmarking of Quantum Systems

QI 24.10: Talk

Thursday, March 21, 2024, 12:15–12:30, HFT-TA 441

Shadow tomography with noisy readouts — •Hai-Chau Nguyen — University of Siegen

Shadow tomography emerges as a scalable technique to characterise the quantum state of a quantum computer or quantum simulator. Unfortunately, shadow tomography is by construction intrinsically sensitive to readout noise. In fact, the complicated structure of the readout noise due to crosstalk appears to be detrimental to the scalability of the most practical shadow tomography scheme. We show that shadow tomography accepts much more flexible constructions beyond the standard ones, which can eventually be made conformable with readout noise. With this construction, we show that readout errors in shadow tomography with randomised qubit measurements can be efficiently mitigated simply by randomly flipping the qubit before, and the classical outcome bit after the measurement. That a single X-gate is sufficient for mitigating readout noise for classical shadows is in contrast to Clifford-twirling, where the implementation of random Clifford gates is required.

Keywords: randomised measurements; shadow tomography; error mitigation; twirling; scalability