论文标题

能源要求在能源无基系统上实施统一大门

Energy requirement for implementing unitary gates on energy-unbounded systems

论文作者

Yang, Yuxiang, Renner, Renato, Chiribella, Giulio

论文摘要

量子信息的处理总是在能源或时间等物理资源方面的成本。确定资源需求不仅是实用设备设计中必不可少的步骤,还需要实际提供资源 - 而且还可能对物理上可能的过程类别产生基本限制。在这里,我们研究在具有非平凡能量谱的量子系统上实现所需的单位门需要多少能量。我们对能量需求的一般下限得出了一般的下限,从而扩大了参考文献的主要结果。 [1]从有限维度系统到具有无限汉密尔顿人的系统。这样的扩展名在使用光学系统的量子信息处理中立即应用,并允许我们就连续可变量子门(例如位移和挤压门)的能量需求提供界限。

The processing of quantum information always has a cost in terms of physical resources such as energy or time. Determining the resource requirements is not only an indispensable step in the design of practical devices - the resources need to be actually provided - but may also yield fundamental constraints on the class of processes that are physically possible. Here we study how much energy is required to implement a desired unitary gate on a quantum system with a non-trivial energy spectrum. We derive a general lower bound on the energy requirement, extending the main result of Ref. [1] from finite dimensional systems to systems with unbounded Hamiltonians. Such an extension has immediate applications in quantum information processing with optical systems, and allows us to provide bounds on the energy requirement of continuous variable quantum gates, such as displacement and squeezing gates.

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