论文标题
净化Szilard的发动机的不可逆成本:是否可以使用量子均质器进行擦除?
The irreversibility cost of purifying Szilard's engine: Is it possible to perform erasure using the quantum homogenizer?
论文作者
论文摘要
擦除是信息处理的基础。它也是连接信息理论和热力学的关键,因为这是一项逻辑上不可逆的任务。我们在这种联系上提供了一个新的角度,并指出可能会有额外的擦除成本,而不是由诸如Landauer原理等标准结果所捕获的。为了使这一点我们使用基于构造函数理论的不可逆性模型 - 量子计算理论的最近提出的概括。该模型使用一种称为“量子均质器”的机器,该机器能够通过整体完全统一的相互作用来大致实现从任何状态到任何其他状态的转换,并保持近似不变。我们认为,在通过量子同质化进行擦除时,执行Szilard发动机的擦除步骤还有额外的成本,因为在周期中可靠地产生纯状态比产生混合状态更难。我们还讨论了这种结果对擦除成本的含义。
Erasure is fundamental for information processing. It is also key in connecting information theory and thermodynamics, as it is a logically irreversible task. We provide a new angle on this connection, noting that there may be an additional cost to erasure, that is not captured by standard results such as Landauer's principle. To make this point we use a model of irreversibility based on Constructor Theory - a recently proposed generalization of the quantum theory of computation. The model uses a machine called the "quantum homogenizer", which has the ability to approximately realise the transformation of a qubit from any state to any other state and remain approximately unchanged, through overall entirely unitary interactions. We argue that when performing erasure via quantum homogenization there is an additional cost to performing the erasure step of the Szilard's engine, because it is more difficult to reliably produce pure states in a cycle than to produce mixed states. We also discuss the implications of this result for the cost of erasure in more general terms.