论文标题
作为量子连续变量的时频
Time-frequency as quantum continuous variables
论文作者
论文摘要
我们提供了单个光子子空间中基于频率的连续变量量子计算的第二个量化描述。为此，我们使用自由场汉密尔顿及其傅立叶变换来定义频率和时间操作员，并表明这些可观察物在每个模式子空间中仅限于一个光子时，将重现规范的位置位置摩托车的交换关系。结果，频率和时间操作员可用于定义此特定子空间中的通用门。我们讨论了这些门的物理实现及其对单个光子状态的影响，并表明频率和时间变量也可以用于实现连续变量量子信息协议，以相同的方式用作二维量子变量。
We present a second quantization description of frequency-based continuous variables quantum computation in the subspace of single photons. For this, we define frequency and time operators using the free field Hamiltonian and its Fourier transform, and show that these observables, when restricted to the one photon per mode subspace, reproduce the canonical position-momentum commutation relations. As a consequence, frequency and time operators can be used to define a universal set of gates in this particular subspace. We discuss the physical implementation of these gates as well as their effect on single photon states, and show that frequency and time variables can also be used to implement continuous variables quantum information protocols, in the same way than polarization is currently used as a two-dimensional quantum variable.
