Randomized benchmarking with gate-dependent noise
We analyze randomized benchmarking for arbitrary gate-dependent noise and prove that the exact impact of gate-dependent noise can be described by a single perturbation term that decays exponentially with the sequence length. That is, the exact behavior of randomized benchmarking under general gate-d...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2018-01-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/q-2018-01-29-47/pdf/ |
| _version_ | 1818602322828197888 |
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| author | Joel J. Wallman |
| author_facet | Joel J. Wallman |
| author_sort | Joel J. Wallman |
| collection | DOAJ |
| description | We analyze randomized benchmarking for arbitrary gate-dependent noise and prove that the exact impact of gate-dependent noise can be described by a single perturbation term that decays exponentially with the sequence length. That is, the exact behavior of randomized benchmarking under general gate-dependent noise converges exponentially to a true exponential decay of exactly the same form as that predicted by previous analysis for gate-independent noise. Moreover, we show that the operational meaning of the decay parameter for gate-dependent noise is essentially unchanged, that is, we show that it quantifies the average fidelity of the noise between ideal gates. We numerically demonstrate that our analysis is valid for strongly gate-dependent noise models. We also show why alternative analyses do not provide a rigorous justification for the empirical success of randomized benchmarking with gate-dependent noise. |
| first_indexed | 2024-12-16T13:05:27Z |
| format | Article |
| id | doaj.art-386403fa96d54222a7a0846da0371f64 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-12-16T13:05:27Z |
| publishDate | 2018-01-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-386403fa96d54222a7a0846da0371f642022-12-21T22:30:45ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2018-01-0124710.22331/q-2018-01-29-4710.22331/q-2018-01-29-47Randomized benchmarking with gate-dependent noiseJoel J. WallmanWe analyze randomized benchmarking for arbitrary gate-dependent noise and prove that the exact impact of gate-dependent noise can be described by a single perturbation term that decays exponentially with the sequence length. That is, the exact behavior of randomized benchmarking under general gate-dependent noise converges exponentially to a true exponential decay of exactly the same form as that predicted by previous analysis for gate-independent noise. Moreover, we show that the operational meaning of the decay parameter for gate-dependent noise is essentially unchanged, that is, we show that it quantifies the average fidelity of the noise between ideal gates. We numerically demonstrate that our analysis is valid for strongly gate-dependent noise models. We also show why alternative analyses do not provide a rigorous justification for the empirical success of randomized benchmarking with gate-dependent noise.https://quantum-journal.org/q-2018-01-29-47/pdf/ |
| spellingShingle | Joel J. Wallman Randomized benchmarking with gate-dependent noise Quantum |
| title | Randomized benchmarking with gate-dependent noise |
| title_full | Randomized benchmarking with gate-dependent noise |
| title_fullStr | Randomized benchmarking with gate-dependent noise |
| title_full_unstemmed | Randomized benchmarking with gate-dependent noise |
| title_short | Randomized benchmarking with gate-dependent noise |
| title_sort | randomized benchmarking with gate dependent noise |
| url | https://quantum-journal.org/q-2018-01-29-47/pdf/ |
| work_keys_str_mv | AT joeljwallman randomizedbenchmarkingwithgatedependentnoise |