Journal
QUANTUM
Volume 4, Issue -, Pages -Publisher
VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
DOI: 10.22331/q-2020-04-24-257
Keywords
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Funding
- Foundation for Polish Science
- Foundation for Polish Science through IRAP project [2018/MAB/5]
- EU within Smart Growth Operational Programme
- Hungarian National Research, Development and Innovation Office (NKFIH) [K124351, K124152, K124176 KH129601]
- Hungarian Quantum Technology National Excellence Program [2017-1.2.1-NKP-2017-00001]
- Janos Bolyai and the Bolyai+ Scholarships
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We propose a simple scheme to reduce read-out errors in experiments on quantum systems with finite number of measurement outcomes. Our method relies on performing classical post-processing which is preceded by Quantum Detector Tomography, i.e., the reconstruction of a Positive-Operator Valued Measure (POVM) describing the given quantum measurement device. If the measurement device is affected only by an invertible classical noise, it is possible to correct the outcome statistics of future experiments performed on the same device. To support the practical applicability of this scheme for near-term quantum devices, we characterize measurements implemented in IBM's and Rigetti's quantum processors. We find that for these devices, based on superconducting transmon qubits, classical noise is indeed the dominant source of read-out errors. Moreover, we analyze the influence of the presence of coherent errors and finite statistics on the performance of our error-mitigation procedure. Applying our scheme on the IBM's 5-qubit device, we observe a significant improvement of the results of a number of single- and two-qubit tasks including Quantum State Tomography (QST), Quantum Process Tomography (QPT), the implementation of non-projective measurements, and certain quantum algorithms (Grover's search and the Bernstein-Vazirani algorithm). Finally, we present results showing improvement for the implementation of certain probability distributions in the case of five qubits.
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