Optimizing Circuit Reusing and its Application in Randomized Benchmarking
Quantum learning tasks often leverage randomly sampled quantum circuits to characterize unknown systems. An efficient approach known as ``circuit reusing,'' where each circuit is executed multiple times, reduces the cost compared to implementing new circuits. This work investigates the opt...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-01-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-01-23-1606/pdf/ |
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| author | Zhuo Chen Guoding Liu Xiongfeng Ma |
| author_facet | Zhuo Chen Guoding Liu Xiongfeng Ma |
| author_sort | Zhuo Chen |
| collection | DOAJ |
| description | Quantum learning tasks often leverage randomly sampled quantum circuits to characterize unknown systems. An efficient approach known as ``circuit reusing,'' where each circuit is executed multiple times, reduces the cost compared to implementing new circuits. This work investigates the optimal reusing times that minimizes the variance of measurement outcomes for a given experimental cost. We establish a theoretical framework connecting the variance of experimental estimators with the reusing times $R$. An optimal $R$ is derived when the implemented circuits and their noise characteristics are known. Additionally, we introduce a near-optimal reusing strategy that is applicable even without prior knowledge of circuits or noise, achieving variances close to the theoretical minimum. To validate our framework, we apply it to randomized benchmarking and analyze the optimal $R$ for various typical noise channels. We further conduct experiments on a superconducting platform, revealing a non-linear relationship between $R$ and the cost, contradicting previous assumptions in the literature. Our theoretical framework successfully incorporates this non-linearity and accurately predicts the experimentally observed optimal $R$. These findings underscore the broad applicability of our approach to experimental realizations of quantum learning protocols. |
| format | Article |
| id | doaj-art-c73c3b0f9e3c42cc99d0eea21052d201 |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-c73c3b0f9e3c42cc99d0eea21052d2012025-01-23T15:39:26ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-01-019160610.22331/q-2025-01-23-160610.22331/q-2025-01-23-1606Optimizing Circuit Reusing and its Application in Randomized BenchmarkingZhuo ChenGuoding LiuXiongfeng MaQuantum learning tasks often leverage randomly sampled quantum circuits to characterize unknown systems. An efficient approach known as ``circuit reusing,'' where each circuit is executed multiple times, reduces the cost compared to implementing new circuits. This work investigates the optimal reusing times that minimizes the variance of measurement outcomes for a given experimental cost. We establish a theoretical framework connecting the variance of experimental estimators with the reusing times $R$. An optimal $R$ is derived when the implemented circuits and their noise characteristics are known. Additionally, we introduce a near-optimal reusing strategy that is applicable even without prior knowledge of circuits or noise, achieving variances close to the theoretical minimum. To validate our framework, we apply it to randomized benchmarking and analyze the optimal $R$ for various typical noise channels. We further conduct experiments on a superconducting platform, revealing a non-linear relationship between $R$ and the cost, contradicting previous assumptions in the literature. Our theoretical framework successfully incorporates this non-linearity and accurately predicts the experimentally observed optimal $R$. These findings underscore the broad applicability of our approach to experimental realizations of quantum learning protocols.https://quantum-journal.org/papers/q-2025-01-23-1606/pdf/ |
| spellingShingle | Zhuo Chen Guoding Liu Xiongfeng Ma Optimizing Circuit Reusing and its Application in Randomized Benchmarking Quantum |
| title | Optimizing Circuit Reusing and its Application in Randomized Benchmarking |
| title_full | Optimizing Circuit Reusing and its Application in Randomized Benchmarking |
| title_fullStr | Optimizing Circuit Reusing and its Application in Randomized Benchmarking |
| title_full_unstemmed | Optimizing Circuit Reusing and its Application in Randomized Benchmarking |
| title_short | Optimizing Circuit Reusing and its Application in Randomized Benchmarking |
| title_sort | optimizing circuit reusing and its application in randomized benchmarking |
| url | https://quantum-journal.org/papers/q-2025-01-23-1606/pdf/ |
| work_keys_str_mv | AT zhuochen optimizingcircuitreusinganditsapplicationinrandomizedbenchmarking AT guodingliu optimizingcircuitreusinganditsapplicationinrandomizedbenchmarking AT xiongfengma optimizingcircuitreusinganditsapplicationinrandomizedbenchmarking |