A scheme for remote state preparation of a general pure qubit with optimized classical communication cost

A scheme for remote state preparation of a general pure qubit with optimized classical communication cost
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一种优化经典通信成本的通用纯量子位远程状态准备方案

DOI:
10.1007/s11128-014-0897-5
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发表时间:
2015-03
影响因子:
2.5
通讯作者:
Chen Yi-Xin
Chen Yi-Xin
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Hua Congyi;Chen Yi-Xin

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如何利用共享纠缠和转发经典通信来远程制备任意(混合或纯)态一直是量子信息学家着迷的问题。Berry给出了一种利用纯纠缠态和有限经典通信远程制备一般纯态的建设性方案。为了优化经典的通信成本,Berry采用了高维目标状态的编码。虽然这种编码方法适用于高维情况,但不适用于低维系统,如纯量子比特。由于量子比特在量子信息理论中起着核心作用,我们在这里提出了一种最优化方法,它可以用来最小化制备一般纯量子比特的经典通信成本。有趣的是,我们的优化过程与Bloch球面上的点的均匀排列相联系,这提供了几何描述。
How to use shared entanglement and forward classical communication to remotely prepare an arbitrary (mixed or pure) state has been fascinating quantum information scientists. Berry has given a constructive scheme for remotely preparing a general pure state, using a pure entangled state and finite classical communication. To optimize the classical communication cost, Berry employed a coding of the high-dimensional target state. Though working in the high-dimensional cases, the coding method is inapplicable for low-dimensional systems, such as a pure qubit. Since qubit plays a central role in quantum information theory, here we propose an optimization procedure which can be used to minimize the classical communication cost in preparing a general pure qubit. Interestingly, our optimization procedure is linked to the uniform arrangement ofpoints on the Bloch sphere, which provides a geometric description.
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