Minimum energy requirements for quantum logic

拟议研究的目标是澄清物理系统中进行量子位逻辑运算所需能量的所有量子力学约束之间的关系，以确定是否存在普遍适用的特定缩放或极限;如果是这样，确定其形式。需要强调的关键要求是，用于开启和关闭相互作用的开关必须是量子力学的。 有两个方面的建议研究，一个实际的，一个基本的。从实践的角度来看，确定量子力学所允许的最终能量/精度权衡的形式对量子计算社区是有用的。从基本观点来看，所研究的问题是在什么情况下可以用一个量子系统对另一个耦合系统进行近似幺正操作。最小能量要求可以被看作是以某种方式量化控制系统必须近似经典的程度。这是一个基本感兴趣的问题，可以追溯到量子力学的基础时代。

The goals of the proposed research are to clarify the relationships between all the quantum mechanical constraints on the energy needed to carry out qubit logical operations in physicalsystems, to determine whether there is a particular scaling, or ultimate limit, that appliesuniversally; and, if so, to ascertain its form. The key requirement to be emphasized is that thesystem used to switch the interaction on and off be quantum mechanical. There are two aspects to the proposed research, one practical, and one fundamental. From a practical viewpoint, it would be useful to the quantum computing community to determine the form of the ultimate energy/accuracy tradeoff allowed by quantum mechanics. From a fundamental viewpoint, the question being investigated is under what circumstances one can use a quantum system to carry out approximately a unitary operation on another, coupled, system.The minimum-energy requirement may be seen as quantifying, in some way, the degree to whichthe control system must be approximately classical. This is a question of basic interest whichgoes back to the foundational days of quantum mechanics.