Eur. Phys. J. D (2015) 69: 57
https://doi.org/10.1140/epjd/e2015-50886-0

Regular Article

Non-adiabatic holonomic manipulation of the polariton qubit in circuit QED

¹ Laboratory of Quantum Engineering and Quantum Materials, and School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, P.R. China
² School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P.R. China

^a e-mail: zyxue83@163.com
^b e-mail: yonghu@mail.hust.edu.cn

Received: 12 December 2014
Received in final form: 18 January 2015
Published online: 24 February 2015

Abstract

As a qubit usually has a limited lifetime, its manipulation should be as fast as possible, and thus non-adiabatic operation is more preferable. Moreover, as a qubit inevitably interacts with its surrounding environment, robust operations are of great significance. Here, we propose a scheme for quantum manipulation of the polariton qubit in circuit QED using non-adiabatic holonomy, which is inherently fast and robust. In particularly, the polariton qubit is shown to be robust against arbitrary low-frequency noise due to its near symmetric spectrum, which can also be convenient manipulated by external microwave driven fields in a holonomic way. Therefore, our scheme presents a promising way of manipulating polariton qubits for on-chip solid-state quantum computation.