基于测量的量子计算方案的统一推导
Unified derivations of measurement-based schemes for quantum computation
摘要:
我们提出了统一的,系统的推导方案在两个已知的测量为基础的量子计算模型。第一个模型(由Raussendorf和Briegel [Phys.Rev.Lett.,86,5188(2001)])使用固定的纠缠态、对单个量子比特的自适应测量以及测量结果的前馈。第二个模型(由Nielsen [Phys. Lett. A,308,96(2003)]并由Leung进一步简化[Int.J.Quant. Inf.,2,33(2004)])使用可以应用于任意量子位对的自适应双量子位测量,以及测量结果的前馈。我们推导的基本原理是由Zhou,Leung和Chuang [Phys. Rev. A,62,052316(2000)]引入的隐形传态的变体。我们的推导统一了这两种基于测量的量子计算模型,并提供了显着更简单的方案。
英文摘要:
We present unified, systematic derivations of schemes in the two known measurement-based models of quantum computation. The first model (introduced by Raussendorf and Briegel [Phys. Rev. Lett., 86, 5188 (2001)]) uses a fixed entangled state, adaptive measurements on single qubits, and feedforward of the measurement results. The second model (proposed by Nielsen [Phys. Lett. A, 308, 96 (2003)] and further simplified by Leung [Int. J. Quant. Inf., 2, 33 (2004)]) uses adaptive two-qubit measurements that can be applied to arbitrary pairs of qubits, and feedforward of the measurement results. The underlying principle of our derivations is a variant of teleportation introduced by Zhou, Leung, and Chuang [Phys. Rev. A, 62, 052316 (2000)]. Our derivations unify these two measurement-based models of quantum computation and provide significantly simpler schemes.
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