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arXiv 2209.09396quant-ph
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实现任意线性玻色变换的普适含时控制方案

Universal time-dependent control scheme for realizing arbitrary linear bosonic transformations

Ze-Liang Xiang, Diego González Olivares, Juan José García-Ripoll, Peter Rabl

摘要:

我们研究了通过光子量子信道连接的两组$N$定态玻色子模之间任意激发守恒线性变换的实现。通过控制模式和通道之间的各个耦合,寄存器$A$中的初始$N$ -部分量子态可以作为多光子波包被释放,并且连续地在寄存器$B$中被重新吸收。在这里,我们证明了存在一组控制脉冲,实现这种传输与任意高保真度,同时,实现一个预先指定的$N\times N$酉变换之间的两组模式。此外,我们提供了一个数值算法来构建这些控制脉冲,并讨论了该协议的缩放和鲁棒性方面的几个说明性的例子。通过纯粹基于控制而不依赖于底层硬件的任何调整,所提出的方案是非常灵活的,并且可以找到广泛的应用,例如,用于玻色子采样实验、多量子比特状态传输协议或连续变量量子计算架构。

英文摘要:

We study the implementation of arbitrary excitation-conserving linear transformations between two sets of $N$ stationary bosonic modes, which are connected through a photonic quantum channel. By controlling the individual couplings between the modes and the channel, an initial $N$-partite quantum state in register $A$ can be released as a multiphoton wave packet and, successively, be reabsorbed in register $B$. Here we prove that there exists a set of control pulses that implement this transfer with arbitrarily high fidelity and, simultaneously, realize a prespecified $N\times N$ unitary transformation between the two sets of modes. Moreover, we provide a numerical algorithm for constructing these control pulses and discuss the scaling and robustness of this protocol in terms of several illustrative examples. By being purely control-based and not relying on any adaptations of the underlying hardware, the presented scheme is extremely flexible and can find widespread applications, for example, for boson-sampling experiments, multiqubit state transfer protocols or in continuous-variable quantum computing architectures.

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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