论文标题
Qudit量子空间和量子波门的波粒二元性
The wave-particle duality of the qudit quantum space and the quantum wave gates
论文作者
论文摘要
我们提出了三个核心思想：1。Qudit量子空间的波颗粒对偶性； 2。通过有序的Qudit功能对将所有基本量子门分类； 3。一种称为“量子波门”的新型量子门。我们首先研究了与量子状态的关系类似于基本量子物理学的动量和位置波函数之间的量子功能：傅立叶变换和熵不确定性原理可以在二元表示之间定义。量子功能不仅是数学构建体，而且具有清晰的物理含义和量子电路实现。将QUDIT功能的分区解释与量子门的效果联系起来，我们通过有序的Qudit功能对所有基本量子门进行了分类。通过将QUDIT功能概括为量子功能，将新型的“量子波门”类型发现为常规量子门的量子版本。
We propose three core ideas: 1. the wave-particle duality of the qudit quantum space; 2. the classification of all elementary quantum gates by ordered pairs of qudit functionals; 3. a new type of quantum gates called the "quantum wave gates". We first study the quantum functionals whose relation to the quantum states is analogous to that between the momentum and position wavefunctions in fundamental quantum physics: a Fourier transform and an entropic uncertainty principle can be defined between the dual representations. The quantum functionals are not just mathematical constructs but have clear physical meanings and quantum circuit realizations. Connecting the partition interpretation of the qudit functionals to the effects of quantum gates we classify all elementary quantum gates by ordered pairs of qudit functionals. By generalizing the qudit functionals to quantum functionals, the new type of "quantum wave gates" are discovered as quantum versions of the conventional quantum gates.
