论文标题
任意控制量子门的矩阵表示
Matrix Representation of Arbitrarily Controlled Quantum Gates
论文作者
论文摘要
受控操作允许纠缠量子登记册。特别是,受控的-U $ GATE允许将操作($ u $)应用于目标寄存器,并将结果纠缠于控制寄存器中的某些值。可以通过使用条件语句的经典概念来概括这一点,如果值(或状态)满足某些条件,则可以执行一系列操作。引入了一种方法来表示基于经典条件语句的这些广义受控操作。给出了整个示例,以突出引入门的使用。
Controlled operations allow for the entanglement of quantum registers. In particular, a controlled-$U$ gate allows an operation, $U$, to be applied to the target register and entangle the results to certain values in the control register. This can be generalised by making use of the classical notion of conditional statements, where if a value (or state) satisfies some condition then a sequence of operations can be performed. A method is introduced to represent these generalised controlled operations that are based on classical conditional statements. Throughout examples are given to highlight the use of introduced gates.