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arXiv 1202.6337quant-ph
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量子模拟初态制备中噪声、关联和误差的影响

Effects of Noise, Correlations and errors in the preparation of initial states in Quantum Simulations

Nayeli Zuniga-Hansen, Yu-Chieh Chi, Mark S. Byrd

摘要:

原则上,一个量子系统可以用来模拟另一个量子系统。这样的模拟的目的是获得有关问题的信息,这些问题不能用经典计算机模拟,因为希尔伯特空间随着系统的大小呈指数增长,并且不能在实际实验中测量或控制。该系统将与周围环境,与系统中的其他粒子相互作用,并使用不完美的控制来实现,使其受到噪声的影响。有人建议,噪声不需要控制到与一般量子计算必须控制的程度相同的程度。然而,量子模拟中噪声的影响以及如何处理它们还没有完全了解。在本文中,我们研究了一个现有的量子算法的一维Fano-Anderson模型模拟使用液态NMR设备。我们计算了原始模型中不同初始状态的演化,然后我们添加相互作用的自旋来模拟更真实的情况。我们发现,与环境纠缠的态,有时是相关的,但不一定纠缠有一个演化,这是描述的地图是不完全积极的。我们讨论了这种情况发生的条件和影响。

英文摘要:

In principle a quantum system could be used to simulate another quantum system. The purpose of such a simulation would be to obtain information about problems which cannot be simulated with a classical computer due to the exponential increase of the Hilbert space with the size of the system and which cannot be measured or controlled in an actual experiment. The system will interact with the surrounding environment, with the other particles in the system and be implemented using imperfect controls making it subject to noise. It has been suggested that noise does not need to be controlled to the same extent as it must be for general quantum computing. However the effects of noise in quantum simulations and how to treat them are not completely understood. In this paper we study an existing quantum algorithm for the one-dimensional Fano-Anderson model to be simulated using a liquid-state NMR device. We calculate the evolution of different initial states in the original model, and then we add interacting spins to simulate a more realistic situation. We find that states which are entangled with their environment, and sometimes correlated but not necessarily entangled have an evolution which is described by maps which are not completely positive. We discuss the conditions for this to occur and also the implications.

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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