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arXiv quant-ph/0510133quant-ph
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微变是一种非定域操作:量子纠缠的隐藏力量

Infinitesimal change is a Non-local Operation: Hidden power of Quantum Entanglement

Arun K. Pati

摘要:

我们发现,在多粒子纯产物态的全球无穷小的变化引起的纠缠态。这表明,即使子系统之间不存在相互作用,即,在每个时刻,状态是非纠缠的,切向量通常是纠缠的。由于切空间矢量告诉状态空间矢量如何变化,这意味着量子纠缠对于一般的运动或变化是必要的。这就是量子纠缠真正的“隐藏力量”。在量子计算过程中,即使在每个时刻态都不是纠缠的,量子纠缠仍然指导着计算过程。这一观察同样适用于多粒子纯态、伪纯态和混合态。

英文摘要:

We show that the global infinitesimal change in the multi-particle pure product state gives rise to an entangled state. This suggests that even if there is no interaction present between the subsystems, i.e., at each time instant the state is non-entangled, the tangent vector is typically entangled. Since the tangent space vectors tell the state-space vectors how to change this implies that quantum entanglement is necessary for motion or change in general. This is truly a `hidden power' of quantum entanglement. During quantum computation even though at each time instant the state is not entangled, quantum entanglement guides the process of computation. This observation applies to multi-particle pure, pseudo-pure and mixed states as well.

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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