Cluster State Generation in a Phase-modulated Quantum Optical Frequency Comb

Measurement-based quantum computing is a model of quantum computer that begins with preparing a highly entangled quantum state, known as cluster state, and is followed by performing measurements on this state to carry out the calculations. Cluster states are crucial resources for measurement-based quantum computing. Quantum optical frequency comb (QOFC), which consists of a lot of two-mode squeezed states created by an optical parametric oscillator (OPO), provides a highly scalable platform to create continuous variable (CV) cluster state, which have been generated in frequency domain, temporal domain, spatial domain and hybrid time-frequency domain. All these cluster states require interfering more than one QOFCs.

Here we propose and fully analyze the simplest technique to generate CV cluster states. We use a single QOFC and apply phase modulation to it at frequencies multiple of the comb spacing. The cluster state generated using this method can be n-hypercubic cluster state of arbitrary dimension n, among which 2 dimensional cluster states are resources for universal one-way quantum computing.

I will also present the experimental design towards the cluster states generation based on the method mentioned above. I will discuss the design for the optical phase stabilization, the homodyne and heterodyne detection that can be used to perform quadrature measurements.