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首页> 外文期刊>The Journal of Chemical Physics >One- and two-dimensional ensemble quantum computing in spin Liouville space
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One- and two-dimensional ensemble quantum computing in spin Liouville space

机译：自旋Liouville空间中的一维和二维集成量子计算

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New concepts are described for nuclear magnetic resonance (NMR) implementations of spin ensemble quantum computing in one and two dimensions. Similarities and differences between ensemble and pure state quantum computing are discussed by using a Liouville space formalism based on polarization and single transition operators. The introduction of an observer spin, that is coupled to the spins carrying the quantum bits, allows a mapping of the states of a quantum computer on a set of transitions between energy levels. This is spectroscopically favorable compared to a mapping on the energy levels themselves. Two complementary parallelization schemes for quantum computing are presented: one exploits the parallel processing feature inherent in multidimensional NMR, while the other employs mixed superposition states represented by operators in Liouville space. The spin swap operation, introduced in this paper, allows a convenient extension of quantum computing to spin systems where not all spin-spin couplings are resolved. The concepts are illustrated by implementations of logic operations and identities consisting of a sequence of basic logic gate operations. (C) 1998 American Institute of Physics. [S0021-9606(98)01348-8]. [References: 15]
机译：一维和二维描述了自旋集成量子计算的核磁共振（NMR）实现的新概念。利用基于极化和单跃迁算子的Liouville空间形式论，讨论了集成态与纯态量子计算之间的异同。观察者自旋的引入与携带量子位的自旋耦合，从而允许将量子计算机的状态映射到能级之间的一组跃迁上。与能级本身的映射相比，这在光谱上是有利的。提出了两种互补的量子化并行化方案：一种利用多维NMR固有的并行处理功能，而另一种则利用Liouville空间中的算子表示的混合叠加态。本文介绍的自旋交换操作允许将量子计算方便地扩展到不能解决所有自旋-自旋耦合的自旋系统。通过一系列基本逻辑门操作组成的逻辑运算和标识的实现来说明这些概念。 （C）1998美国物理研究所。 [S0021-9606（98）01348-8]。 [参考：15]

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