一种基于波导阵列的多比特和量子数传输新方法
A New Method for Multi-Bit and Qudit Transfer Based on Commensurate Waveguide Arrays
摘要：
在构造经典计算机和量子计算机时，忠实的态转移是一个重要的要求。虽然高速传输是通过光纤互连实现的，但其在集成光路中的实现受到串扰的影响。密集封装的光波导之间的串扰限制了传输保真度，并使每个通道中的信号失真，从而严重阻碍了诸如经典寄存器、多量子比特和量子比特等状态的并行传输。在这里，我们利用适当设计的波导之间的串扰，以实现在光学芯片上的并行传输。波导耦合系数的设计，以产生相称的本征值的阵列，因此，输入状态的周期性复苏。虽然，在一般情况下，多项式复杂，逆特征值问题允许少量的波导的解析解。我们提出了精确的解决方案，多达9个波导阵列，并使用它们来设计现实的总线多（QU）位和qudit传输。所提出的解决方案的优点和局限性进行了讨论的背景下，可用的制造技术。
英文摘要：
The faithful state transfer is an important requirement in the construction of classical and quantum computers. While the high-speed transfer is realized by optical-fibre interconnects, its implementation in integrated optical circuits is affected by cross-talk. The cross-talk between densely packed optical waveguides limits the transfer fidelity and distorts the signal in each channel, thus severely impeding the parallel transfer of states such as classical registers, multiple qubits and qudits. Here, we leverage on the suitably engineered cross-talk between waveguides to achieve the parallel transfer on optical chip. Waveguide coupling coefficients are designed to yield commensurate eigenvalues of the array and hence, periodic revivals of the input state. While, in general, polynomially complex, the inverse eigenvalue problem permits analytic solutions for small number of waveguides. We present exact solutions for arrays of up to nine waveguides and use them to design realistic buses for multi-(qu)bit and qudit transfer. Advantages and limitations of the proposed solution are discussed in the context of available fabrication techniques.
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