title: Quantum Computation Based on Photons with Three Degrees of Freedom.
abstract: Quantum systems are important resources for quantum computer. Different from previous encoding forms using quantum systems with one degree of freedom (DoF) or two DoFs, we investigate the possibility of photon systems encoding with three DoFs consisting of the polarization DoF and two spatial DoFs. By exploring the optical circular birefringence induced by an NV center in a diamond embedded in the photonic crystal cavity, we propose several hybrid controlled-NOT (hybrid CNOT) gates operating on the two-photon or one-photon system. These hybrid CNOT gates show that three DoFs may be encoded as independent qubits without auxiliary DoFs. Our result provides a useful way to reduce quantum simulation resources by exploring complex quantum systems for quantum applications requiring large qubit systems.
authors.affiliation: Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu 610031, China.
authors.forename: Ming-Xing
authors.initials: MX
authors.lastname: Luo
authors.affiliation: Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu 610031, China.
authors.forename: Hui-Ran
authors.initials: HR
authors.lastname: Li
authors.affiliation: School of Computer and Information Science, Southwest University, Chongqing 400715, China.
authors.forename: Hong
authors.initials: H
authors.lastname: Lai
authors.affiliation: School of Electronic Engineering, Dublin City University, Dublin 9, Ireland.
authors.forename: Xiaojun
authors.initials: X
authors.lastname: Wang