计数量子图灵机的Landauer电阻和能带谱
The Landauer Resistance and Band Spectra for the Counting Quantum Turing Machine
摘要：
广义计数量子图灵机（GCQTM）是一种对任意N，将前$2^{N}$整数连续枚举为二进制串的机器。泛化包括仅将势与read-1步骤相关联。的朗道电阻（LR）和带谱确定与GCQ TM的能量以上和以下的潜在高度的紧束缚哈密顿。对于电子区域中的参数和电势，LR作为动量的函数在非常高和非常低的值之间快速波动。随着N的增加，波动的速度和范围迅速增加。对于N=18，考虑的最大值，LR显示出良好的传输概率作为动量的函数，具有非常高的LR值存在的许多孔。这对于高于和低于势能高度的能量都是正确的。有人建议，LR的主要特点可以解释由相干叠加的分量波反射或透射通过$2^{N-1}$电位的分布。如果这个解释是正确的，它就为量子非定域性效应提供了一个生动的例证。
英文摘要：
The generalized counting quantum Turing machine (GCQTM) is a machine which, for any N, enumerates the first $2^{N}$ integers in succession as binary strings. The generalization consists of associating a potential with read-1 steps only. The Landauer Resistance (LR) and band spectra were determined for the tight binding Hamiltonians associated with the GCQTM for energies both above and below the potential height. For parameters and potentials in the electron region, the LR fluctuates rapidly between very high and very low values as a function of momentum. The rapidity and extent of the fluctuations increases rapidly with increasing N. For N=18, the largest value considered, the LR shows good transmission probability as a function of momentum with numerous holes of very high LR values present. This is true for energies above and below the potential height. It is suggested that the main features of the LR can be explained by coherent superposition of the component waves reflected from or transmitted through the $2^{N-1}$ potentials in the distribution. If this explanation is correct, it provides a dramatic illustration of the effects of quantum nonlocality.
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