利用仲氢进行NMR量子信息处理
NMR Quantum Information Processing with Para-Hydrogen
摘要：
本论文主要研究基于液态核磁共振的量子信息处理器中的初始化和可分性问题。我们制备了纠缠阈值以上的纯量子态。我们的纯态量子计算机从仲氢分子中高度极化的核自旋态中获得纯度。本文首先对传统的基于核磁共振的量子信息处理技术进行了批判，概述了该技术的主要优点和缺点。我们描述了增强磁有序的核自旋态的仲氢和初始化实验利用这种效果，以实现纯，纠缠态。这些状态确实可以作为初始状态在实现量子算法：我们描述的Deutsch和Grover量子算法的实现。“twirl”操作将完全任意的输入状态转换为Werner单态。该操作的NMR实现被采用。我们还分析了在量子计算机中将一些高度极化的量子比特的纯度共享到任意维度的量子子空间上的可能性，以及这些共享操作是否增加或减少了纠缠的可能性。
英文摘要：
This thesis addresses the problems of initialization and separability in liquid state NMR based quantum information processors. We prepare pure quantum states lying above the entanglement threshold. Our pure state quantum computer derives its purity from the highly polarized nuclear spin states in the para-hydrogen molecule. The thesis begins with a critique of conventional NMR based quantum information processing outlining the major strengths and weaknesses of the technology. We describe the enhanced magnetic ordering of the nuclear spin states in para-hydrogen and an initialization experiment exploiting this effect to achieve pure, entangled states. These states can indeed be used as initial states in implementing quantum algorithms: we describe mplementations of the Deutsch and the Grover quantum algorithms. The "twirl" operation converts a completely arbitrary input state to a Werner singlet. The NMR implementation of this operation is taken up. We also analyze the possibility of sharing the purity of some highly polarized qubits in a quantum computer onto quantum subspaces of arbitrary dimensions, and whether these sharing operations increase or decrease the likelihood of entanglement.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
