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Title: Cross-Kerr-effect induced by coupled Josephson qubits in circuit quantum electrodynamics

Abstract

We propose a scheme for implementing cross-Kerr nonlinearity between two superconducting transmission line resonators (TLRs) via their interactions with a coupler constructed by two superconducting transmon qubits connected to each other through a superconducting quantum interference device. When suitably driven, the coupler can induce very strong cross phase modulation (XPM) between the two TLRs due to its N-type level structure and the consequent electromagnetically induced transparency in its lowest states. The flexibility of our design can lead to various inter-TLR coupling configurations. The obtained cross-Kerr coefficient is large enough to allow many important quantum operations in which only few photons are involved. We further show that this scheme is very robust against fluctuations in solid-state quantum circuits. Our numerical calculations imply that the absorption and the dispersion of the TLRs resulting from the decoherence of the coupler are very small compared with the proposed XPM strength.

Authors:
; ; ; ;  [1];  [2];  [2]
  1. School of Physics, Huazhong University of Science and Technology, Wuhan, Hubei 430074 (China)
  2. (China)
Publication Date:
OSTI Identifier:
22051280
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FLUCTUATIONS; JOSEPHSON JUNCTIONS; KERR EFFECT; PHOTONS; QUANTUM ELECTRODYNAMICS; QUBITS; SQUID DEVICES

Citation Formats

Hu Yong, Ge Guoqin, Chen Shi, Yang Xiaofei, Chen Youling, Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, and Department of Physics, Peking University, Beijing 100871. Cross-Kerr-effect induced by coupled Josephson qubits in circuit quantum electrodynamics. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.012329.
Hu Yong, Ge Guoqin, Chen Shi, Yang Xiaofei, Chen Youling, Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, & Department of Physics, Peking University, Beijing 100871. Cross-Kerr-effect induced by coupled Josephson qubits in circuit quantum electrodynamics. United States. doi:10.1103/PHYSREVA.84.012329.
Hu Yong, Ge Guoqin, Chen Shi, Yang Xiaofei, Chen Youling, Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, and Department of Physics, Peking University, Beijing 100871. Fri . "Cross-Kerr-effect induced by coupled Josephson qubits in circuit quantum electrodynamics". United States. doi:10.1103/PHYSREVA.84.012329.
@article{osti_22051280,
title = {Cross-Kerr-effect induced by coupled Josephson qubits in circuit quantum electrodynamics},
author = {Hu Yong and Ge Guoqin and Chen Shi and Yang Xiaofei and Chen Youling and Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074 and Department of Physics, Peking University, Beijing 100871},
abstractNote = {We propose a scheme for implementing cross-Kerr nonlinearity between two superconducting transmission line resonators (TLRs) via their interactions with a coupler constructed by two superconducting transmon qubits connected to each other through a superconducting quantum interference device. When suitably driven, the coupler can induce very strong cross phase modulation (XPM) between the two TLRs due to its N-type level structure and the consequent electromagnetically induced transparency in its lowest states. The flexibility of our design can lead to various inter-TLR coupling configurations. The obtained cross-Kerr coefficient is large enough to allow many important quantum operations in which only few photons are involved. We further show that this scheme is very robust against fluctuations in solid-state quantum circuits. Our numerical calculations imply that the absorption and the dispersion of the TLRs resulting from the decoherence of the coupler are very small compared with the proposed XPM strength.},
doi = {10.1103/PHYSREVA.84.012329},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}