标题： 资源紧凑的时最优量子计算 显示英文标题

标题： Resource-compact time-optimal quantum computation

摘要： 容错量子计算实现了可靠的量子计算，但从时间和资源角度来看会带来显著的开销。 为了减少计算时间，Austin G. Fowler通过构建一个无需概率性$S$门校正的容错$T$门量子电路，提出了时间最优的量子计算。 在本工作中，我们引入了一种资源紧凑的量子电路，无需概率性$S$门校正，使容错$T$门的资源需求减少了60%以上。 因此，我们提出了一种最小化资源利用率的时间最优量子电路，展示了高效的时最优量子计算。 此外，我们描述了一种涉及初始化、CNOT门和测量的高效形式，为开发高效的容错量子计算编译器奠定了基础。 显示英文摘要

摘要： Fault-tolerant quantum computation enables reliable quantum computation but incurs a significant overhead from both time and resource perspectives. To reduce computation time, Austin G. Fowler proposed time-optimal quantum computation by constructing a quantum circuit for a fault-tolerant $T$ gate without probabilistic $S$ gate correction. In this work, we introduce a resource-compact quantum circuit that significantly reduces resource requirements by more than 60% for a fault-tolerant $T$ gate without probabilistic $S$ gate correction. Consequently, we present a quantum circuit that minimizes resource utilization for time-optimal quantum computation, demonstrating efficient time-optimal quantum computation. Additionally, we describe an efficient form involving initialization, CNOTs, and measurements, laying the foundation for the development of an efficient compiler for fault-tolerant quantum computation.