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arXiv quant-ph/0505008quant-ph
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关于量子A/D和D/A的转换

On Quantum A/D and D/A Conversion

Frank Schmuser, Dominik Janzing

摘要:

提出了一种算法,该算法将波函数(模拟信号)的量子信息转移到量子位寄存器(数字信号)中,使得$n$量子位描述足够平滑的波函数的$2^n$点的幅度和相位。我们假设连续自由度通过Jaynes Cummings Hamilton耦合到量子寄存器的一个或多个量子位,并且我们在寄存器上具有通用量子计算能力以及对量子位执行bang-bang控制的可能性。信息的传递主要基于在两个方向上应用量子相位估计算法。在这里,运行时间随着量子比特的数量呈指数增长。我们把它作为一个开放的问题,互动将允许多项式运行时间。一个例子是能够实现精确挤压操作的相互作用。

英文摘要:

An algorithm is proposed which transfers the quantum information of a wave function (analogue signal) into a register of qubits (digital signal) such that $n$ qubits describe the amplitudes and phases of $2^n$ points of a sufficiently smooth wave function. We assume that the continuous degree of freedom couples to one or more qubits of a quantum register via a Jaynes Cummings Hamiltonian and that we have universal quantum computation capabilities on the register as well as the possibility to perform bang-bang control on the qubits. The transfer of information is mainly based on the application of the quantum phase-estimation algorithm in both directions. Here, the running time increases exponentially with the number of qubits. We pose it as an open question which interactions would allow polynomial running time. One example would be interactions which enable exact squeezing operations.

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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