Time-optimal unitary operations
Time-optimal unitary operations
复制标题
DOI：
10.1103/physreva.75.042308
复制
发表时间：
2006-08
影响因子：
2.9
通讯作者：
A. Carlini;A. Hosoya;T. Koike;Y. Okudaira
中科院分区：
文献类型：
--
作者：
A. Carlini;A. Hosoya;T. Koike;Y. Okudaira
日本横滨庆应义乌大学物理系(日期：2007年1月15日)，延续了我们之前在时间最优量子态演化方面的工作[A.Carlini，A.Hosoya，T.Koike和Y.Okudaira，Phys.莱特牧师。96,060503(2006)]，当可用哈密顿受到实验或理论条件所规定的某些约束时，我们给出了fi和目标么正运算的时间最优实现的变分原理。由于时间最优么正演化不依赖于输入量子态，这对量子计算更具方向性。我们通过考虑两个量子比特系统通过各向异性海森伯哈密顿量自相互作用的情况，并通过推导目标量子门的三个例子，即量子比特互换、量子傅里叶变换和纠缠门的时间最优么正演化，明确地说明了我们的方法。我们还简要讨论了某些么正运算所需时间可以忽略的情况。fly。
Department of Physics, Keio University, Yokohama, Japan(Dated: January 15, 2007)Extending our previous work on time optimal quantum state evolution [A. Carlini, A. Hosoya, T.Koike and Y. Okudaira, Phys. Rev. Lett. 96, 060503 (2006)], we formulate a variational principle forfinding the time optimal realization of a target unitary operation, when the available Hamiltoniansare subject to certain constraints dictated either by experimental or by theoretical conditions. Sincethe time optimal unitary evolutions do not depend on the input quantum state this is of more directrelevance to quantum computation. We explicitly illustrate our method by considering the case ofa two-qubit system self-interacting via an anisotropic Heisenberg Hamiltonian and by deriving thetime optimal unitary evolution for three examples of target quantum gates, namely the swap ofqubits, the quantum Fourier transform and the entangler gate. We also briefly discuss the case inwhich certain unitary operations take negligible time.