Earticle

This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected bum-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in practice.

This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected burn-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in practice.

양자 게이트의 평균 오류율을 평가하는 무작위 벤치마킹(Randomized Benchmarking, RB)은 신뢰성 있는 결과를 얻기 위해 다수의 회로를 반복 실행해야 하는 특성이 있다. 하지만 클라우드 기반 양자 컴퓨팅 플랫폼에서는 각 회로가 독립적인 작업 단위로 제출되고 선입선출(FIFO) 방식으로 스케줄링 되기 때문에, 전체 실험 시간이 길어지고 측정 환경의 시간적 일관성이 약화되는 문제가 발생한다. 이 논문에서는 이러한 구조적 비효율을 해결하기 위해, RB 시퀀스들을 하나의 회로로 결합하고 내부에서 조건 분기를 활용해 개별 실험을 수행하는 통합 실행 방식을 제안한다. 제안한 기법은 큐 대기로 인한 지연을 줄이고, 시퀀스 간 실행 간격을 줄여 더 일관된 실험 조건을 제공한다. IBM Quantum 플랫폼에서 실험을 진행한 결과, 제안한 방식은 기존 방식에 비해 전체 실행 시간을 평균적으로 약 71% 단축 시켰으며, 큐 대기 시간(Pending) 비중은 기존 방식 대비 65% 감소하였다. 또한 실행 시간과 대기 시간의 변동성이 크게 줄어들어 실험 환경의 시간적 안정성이 향상되었고, 이는 노이즈 조건의 일관성 확보를 통해 측정 결과의 신뢰도를 높이는 데 기여하였다.

Randomized benchmarking(RB), which evaluates the average error rate of quantum gates, is characterized by the need to run a large number of circuits repeatedly to obtain reliable results. However, on cloud-based quantum computing platforms, each circuit is submitted as an independent unit of work and scheduled in a first-in, first-out(FIFO) fashion, which lengthens the overall experiment time and weakens the temporal consistency of the measurement environment. To address these structural inefficiencies, this paper proposes an integrated execution approach that combines RB sequences into a single circuit and utilizes conditional branching to perform individual experiments within it. The proposed technique reduces the delay caused by queuing and provides more consistent experimental conditions by reducing the execution gap between sequences. In experiments on the IBM Quantum platform, the proposed method reduced the total execution time by approximately 71% compared to the conventional method. The proportion of pending queues decreased by about 65%. Additionally, the variability in execution time and waiting time was significantly reduced, improving the temporal stability of the experimental environment, which contributed to enhancing the reliability of measurement results by ensuring consistency in noise conditions.