Global unitary transformations that optimally increase the bias of any mixed computation qubit in a quantum system, represented by a diagonal density matrix, towards a particular state of the computational basis which, in effect, increases its purity are presented. Quantum circuits that achieve this by implementing the above data compression technique, a generalization of the 3B-Comp [Fernandez, Lloyd, Mor, Roychowdhury (2004); arXiv: quant-ph/0401135] used before, are described. These circuits enable purity increment in the computation qubit by maximally transferring part of its von Neumann or Shannon entropy to any number of surrounding qubits and are valid for the complete range of initial biases. Using the optswaps, a practicable new method that algorithmically achieves hierarchy-dependent cooling of qubits to their respective limits in an engineered quantum register opened to the heat-bath is delineated. In addition to multi-qubit purification and satisfying two of DiVincenzo's criteria for quantum computation in some architectures, the implications of this work for quantum data compression and quantum thermodynamics are discussed.
翻译:以对数密度矩阵为代表,优化地增加了量子系统中任何混合计算量子的偏差的全球单质变异,这种变异以对数密度矩阵为代表,朝着一个特定的计算基础状态倾斜,而计算基础实际上增加了纯度。通过实施上述数据压缩技术实现这一点的量子电路,对3B-Comp[Fernandez、Lloyd、Mor、Roycchowdhury(2004年);对以前使用的弧度:kunt-ph/041135]进行了总体化的3B-Comp[Fernandez、Lloyd、Mor、Royckhowdhury(2004年);对弧度:kon-ph/O041135]进行了描述。这些电路路使计算Qubit的纯度增加,将 von Neumann 或 Shann enropy 的一部分最大地转移至任何几个周围的qubits,并适用于整个初步偏差范围。使用“opswaps” 。利用“opswaps”, 一种可行的新方法,一种可行的新方法,在逻辑上根据结构中根据结构中实现了量子压缩数据压缩和量子数据压缩和量子的量子压值计算中实现各自的两个标准,对量子的精度的影响正在讨论。讨论。除了多位子的精精和量子的精和量子的精度的精度的精度的精度。除了讨论。除了讨论的精度的精度分析外,还讨论。