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arXiv quant-ph/0501180quant-ph
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量子自旋链上基于测量的隐形传态

Measurement-Based Teleportation Along Quantum Spin Chains

J. P. Barjaktarevic, J. Links, G. J. Milburn, Ross H. McKenzie

摘要:

我们考虑任意自旋为1/2的目标量子态沿量子自旋链的基态的隐形传态。本文将多体量子态的希尔伯特空间分解为四个矢量空间。在这些子空间中的每一个内,可以采取任何叠加态,并使用投影测量来执行单位保真度隐形传态。任何这样的叠加必然是自旋液体状态。我们还证明了所有的自旋为0的量子态都属于同一个空间,从而可以对任何一个自旋为0的一维多体量子态进行单位保真度的量子隐形传态。我们推广到$n$ -Bell态,并给出了量子自旋链一般态下隐形传态保真度的一般界。

英文摘要:

We consider teleportation of an arbitrary spin-1/2 target quantum state along the ground state of a quantum spin chain. We present a decomposition of the Hilbert space of the many body quantum state into 4 vector spaces. Within each of these subspaces, it is possible to take any superposition of states, and use projective measurements to perform unit fidelity teleportation. Any such superposition is necessarily a spin liquid state. We also show that all total spin-0 quantum states belong in the same space, so that it is possible to perform unit fidelity teleportation over any one-dimensional spin-0 many body quantum state. We generalise to $n$-Bell states, and present some general bounds on fidelity of teleportation given a general state of a quantum spin chain.

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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