一元算术运算的量子逻辑实现

M. Thornton, D. Matula, L. Spenner, D. M. Miller
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引用次数: 8

摘要

某些一元不动点运算的继承的数学性质最近被用来有效地制定算术算法和运算电路,如经典二进制逻辑电路中的模乘法逆、幂运算和离散对数计算。这一原理在量子逻辑电路实现方面具有理想的特点,并推广到MVL算法系统的情况下。研究表明,利用继承原理结合许多一元函数的双射性质,可以实现不需要辅助数字和不产生垃圾输出的紧凑量子逻辑级联。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum Logic Implementation of Unary Arithmetic Operations
The mathematical property of inheritance for certain unary fixed point operations has recently been exploited to enable the efficient formulation of arithmetic algorithms and circuits for operations such as the modular multiplicative inverse, exponentiation, and discrete logarithm computation in classical binary logic circuits. This principle has desirable features with regard to quantum logic circuit implementations and is generalized for the case of MVL arithmetic systems. It is shown that the inheritance principle in conjunction with the bijective nature of many unary functions is used to realize compact quantum logic cascades that require no ancilla digits and generate no garbage outputs.
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