Title: Dynamical Aspects of Information Storage in Quantum-Mechanical Systems Show Chinese title

Title: 量子力学系统中信息存储的动力学方面

Abstract: We study information storage in noisy quantum registers and computers using the methods of statistical dynamics. We develop the concept of a strictly contractive quantum channel in order to construct mathematical models of physically realizable, i.e., nonideal, quantum registers and computers. Strictly contractive channels are simple enough, yet exhibit very interesting features, which are meaningful from the physical point of view. In particular, they allow us to incorporate the crucial assumption of finite precision of all experimentally realizable operations. Strict contractivity also helps us gain insight into the thermodynamics of noisy quantum evolutions (approach to equilibrium). Our investigation into thermodynamics focuses on the entropy-energy balance in quantum registers and computers under the influence of strictly contractive noise. Using entropy-energy methods, we are able to appraise the thermodynamical resources needed to maintain reliable operation of the computer. We also obtain estimates of the largest tolerable error rate. Finally, we explore the possibility of going beyond the standard circuit model of error correction, namely constructing quantum memory devices on the basis of interacting particle systems at low temperatures. Show Chinese abstract

Abstract: 我们使用统计动力学的方法研究噪声量子寄存器和计算机中的信息存储。 我们提出了严格压缩量子信道的概念，以构建物理上可实现的，即非理想的量子寄存器和计算机的数学模型。 严格压缩信道足够简单，但表现出非常有趣的特性，从物理角度来看具有重要意义。 特别是，它们使我们能够纳入所有实验上可实现操作的有限精度这一关键假设。 严格压缩性也有助于我们深入了解噪声量子演化（趋于平衡）的热力学。 我们的热力学研究集中在严格压缩噪声影响下量子寄存器和计算机中的熵能平衡。 使用熵能方法，我们能够评估维持计算机可靠运行所需的热力学资源。 我们还得到了最大可容忍错误率的估计。 最后，我们探讨了超越标准纠错电路模型的可能性，即在低温下基于相互作用粒子系统构建量子存储设备。