Universal single-qubit non-adiabatic holonomic quantum gates in optomechanical systems

9^th International Conference on Optics, Photonics & Lasers

July 02-04, 2018 | Berlin, Germany

Shan Shan Chen, Hao Zhang, Xue Ke Song, Fu Guo Deng and Guo Jiang Yang

Beijing Normal University, China

Scientific Tracks Abstracts: J Laser Opt Photonics

Abstract :

The non-adiabatic holonomic quantum computation (NHQC) attracts widespread attention in recent years because of its advantage of fast and robustness. It has been realized based on physical systems including superconducting circuits, NMR, and nitrogen-vacancy center in diamond. In this work we propose the first scheme to achieve the NHQC based on an optomechanical system (OS). This OS is composed of two optical cavities coupling to a mechanical oscillator as shown by figure 1. Our NHQC includes single-qubit noncommute NOT gate, phase gate and Hadamard gate, which are obtained in the computational basis of the single excited states of the OS. With these universal quantum gates, we can also achieve the quantum state transfer and the entanglement generation between two cavity-modes. We discuss the corresponding experimental parameters and the fidelity of the scheme with imperfection by numerical simulation. Our scheme is of all the good properties of the NHQC based on a quantum system, such as the built-in noise-resilience, faster operation, less decoherence and nonrequirement for the resource and time to remove the dynamical phases. It provides a prototype of quantum gates realized with the mechanical motion degree of freedom. OSs can serve as important platforms for generating various quantum effects in the systems ranging from quantum to classical ones, and our scheme is such an example in quantum computation and quantum information processing.
Recent Publications
1. Guo Zhu Song, Fang Zhou Wu, Mei Zhang and Guo Jian Yang (2016) Heralded quantum repeater based on the scattering of photons off single emitters using parametric down-conversion source. Scientific Reports DOI: 10.1038/srep28744.
2. Tianhui Qiu and Guojian Yang (2015) Electromagnetically induced angular Talbot effect. J. Phys. B 48(24):5502.
3. Min Xie, Fangzhou Wu, Peng Wu and Guojian Yang (2015) Generation and stabilization of entanglement in a cascaded atoms�cavity system. Quantum Information Processing 14(7):2477�2485.
4. Tao Li, Guo Jian Yang and Fu Guo Deng (2014) Entanglement distillation for quantum communication network with atomic-ensemble memories. Optics Express 22(20):23897-911.
5. Tianhui Qiu and Guojian Yang (2014) Efficient generation and transfer of entanglement encoded in different photonic degrees of freedom by Raman interaction. Phys. Rev. A 89:052312.

Biography :

Shan Shan Chen is a graduate student in grade two of Physics Department, Beijing Normal University. Her research field is quantum information and quantum computation.

E-mail: 201621140060@mail.bnu.edu.cn