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arXiv quant-ph/0212041quant-ph
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通过未调制自旋链的量子通信

Quantum Communication Through an Unmodulated Spin Chain

Sougato Bose

摘要:

我们提出了一个方案,使用未调制和不可测量的自旋链作为短距离量子通信的信道。要传输的状态被放置在链的一个旋转上,稍后在远处的旋转上以一定的保真度接收。我们首先利用我们的方案得到了任意海森堡铁磁体中任意两个位置之间量子态转移的保真度和纠缠度的简单表达式。然后,我们将其应用到可实现的情况下,一个开放的链与最近邻相互作用。量子态转移的保真度可以用离散余弦逆变换和贝塞尔函数级数表示。我们发现,在一个合理的时间内,一个量子比特可以直接传输,在整个长度的链高达80个自旋比经典的保真度更好。此外,自旋链通道允许在任意大的距离上共享可分离的纠缠。

英文摘要:

We propose a scheme for using an unmodulated and unmeasured spin-chain as a channel for short distance quantum communications. The state to be transmitted is placed on one spin of the chain and received later on a distant spin with some fidelity. We first obtain simple expressions for the fidelity of quantum state transfer and the amount of entanglement sharable between any two sites of an arbitrary Heisenberg ferromagnet using our scheme. We then apply this to the realizable case of an open ended chain with nearest neighbor interactions. The fidelity of quantum state transfer is obtained as an inverse discrete cosine transform and as a Bessel function series. We find that in a reasonable time, a qubit can be directly transmitted with better than classical fidelity across the full length of chains of up to 80 spins. Moreover, the spin-chain channel allows distillable entanglement to be shared over arbitrarily large distances.

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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