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arXiv quant-ph/9803017quant-ph
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噪声信道上的分布式量子计算

Distributed Quantum Computation over Noisy Channels

J. I. Cirac, A. Ekert, S. F. Huelga, C. Macchiavello

摘要:

我们分析了利用纠缠态在量子网络中的远距离节点之间进行非局域量子计算。与多粒子纠缠态的产生相关的复杂性是量化的全局成本的概念。此参数允许我们比较不同方案中物理资源的使用情况。我们表明,对于理想的通道和足够大的节点数,使用最大纠缠态是有利的不相关的。对于有噪声的信道,必须使用纠缠纯化过程,以创建高保真度的纠缠态。我们证明了在某些情况下,一个量子网络提供了一个最大的纠缠输入仍然会产生一个较小的全球成本,提供$n$属于一个给定的区间$n\in [n_{min},n_{max}]$。$n_{min}$和$n_{max}$的值主要取决于用于建立$n$ -处理器纠缠态的纯化协议,以及在计算过程中存在的退相干过程。相位估计问题已被用来说明这一事实。

英文摘要:

We analyse the use of entangled states to perform quantum computations non locally among distant nodes in a quantum network. The complexity associated with the generation of multiparticle entangled states is quantified in terms of the concept of global cost. This parameter allows us to compare the use of physical resources in different schemes. We show that for ideal channels and for a sufficiently large number of nodes, the use of maximally entangled states is advantageous over uncorrelated ones. For noisy channels, one has to use entanglement purification procedures in order to create entangled states of high fidelity. We show that under certain circumstances a quantum network supplied with a maximally entangled input still yields a smaller global cost, provided that $n$ belongs to a given interval $n\in [n_{min},n_{max}]$. The values of $n_{min}$ and $n_{max}$ crucially depend on the purification protocols used to establish the $n$-- processor entangled states, as well as on the presence of decoherence processes during the computation. The phase estimation problem has been used to illustrate this fact.

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。

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