UNCERTAINTY PRINCIPLE FOR QUANTUM INSTRUMENTS AND COMPUTING
UNCERTAINTY PRINCIPLE FOR QUANTUM INSTRUMENTS AND COMPUTING
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DOI：
10.1142/s0219749903000437
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发表时间：
2003-10
影响因子：
1.2
通讯作者：
M. Ozawa
中科院分区：
文献类型：
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作者：
M. Ozawa
量子仪器的概念被形式化为所有可能的量子测量的统计等价类，并在自然可接受的公理下在数学上表征为归一化的完全正映射值测量。最近，普遍有效的不确定性关系已被建立，以设置一个精确的限制，任何仪器给定的干扰约束的形式更一般的比一个最初提出的海森堡。其中之一导致定量推广的Wigner-Araki-Yanase定理的精度限制下的测量守恒律。应用这一点，得到了严格的下界的Hadamard门的物理实现的标准量子比特的自旋1/2系统的控制场或辅助系统的相互作用遵守角动量守恒定律的门错误概率。
The notion of quantum instruments is formalized as statistical equivalence classes of all the possible quantum measurements and mathematically characterized as normalized completely positive map valued measures under naturally acceptable axioms. Recently, universally valid uncertainty relations have been established to set a precision limit for any instruments given a disturbance constraint in a form more general than the one originally proposed by Heisenberg. One of them leads to a quantitative generalization of the Wigner–Araki–Yanase theorem on the precision limit of measurements under conservation laws. Applying this, a rigorous lower bound is obtained for the gate error probability of physical implementations of Hadamard gates on a standard qubit of a spin 1/2 system by interactions with control fields or ancilla systems obeying the angular momentum conservation law.