论文标题
T-Count和Quitt优化的量子电路设计
T-count and Qubit Optimized Quantum Circuit Designs of Carry Lookahead Adder
论文作者
论文摘要
需要在硬件中实现量子算法等算术操作（例如添加）的量子电路。使用基于Clifford+T门的量子电路，因为它们可以耐噪声。通过使用Clifford+T门和错误校正代码获得的容错的权衡是T门的高度实现开销。结果，T计数性能度量在量子电路设计中变得很重要。由于噪声，量子电路计算中错误的风险随着电路中的栅极层（或深度）的数量增加而增加。结果，诸如量子携带的lookahead加法器（QCLA）等低深度电路引起了研究人员的关注。这项工作介绍了两种QCLA设计，每个设计分别优化了T-COUNT或QUBIT成本。显示了每个设计的现场和实地版本。根据T计数，将拟议的QCLA与现有作品进行了比较。拟议的QCLA用于实地添加的QCLA平均T门节省$ 54.34 \％$和$ 37.21 \％$。拟议的QCLA用于现场添加的QCLAS平均T门节省$ 72.11 \％$和$ 35.87 \％$
Quantum circuits of arithmetic operations such as addition are needed to implement quantum algorithms in hardware. Quantum circuits based on Clifford+T gates are used as they can be made tolerant to noise. The tradeoff of gaining fault tolerance from using Clifford+T gates and error correcting codes is the high implementation overhead of the T gate. As a result, the T-count performance measure has become important in quantum circuit design. Due to noise, the risk for errors in a quantum circuit computation increases as the number of gate layers (or depth) in the circuit increases. As a result, low depth circuits such as quantum carry lookahead adders (QCLA)s have caught the attention of researchers. This work presents two QCLA designs each optimized with emphasis on T-count or qubit cost respectively. In-place and out-of-place versions of each design are shown. The proposed QCLAs are compared against the existing works in terms of T-count. The proposed QCLAs for out-of-place addition achieve average T gate savings of $54.34 \%$ and $37.21 \%$, respectively. The proposed QCLAs for in-place addition achieve average T gate savings of $72.11 \%$ and $35.87 \%$
