Abstract

Four-mode continuous-variable (CV) cluster states are an important and necessary resource in continuous-variable quantum computation. In this paper, we present a simple and efficient scheme to realize an unequally weighted four-mode square CV cluster state using atomic ensembles driven by seven strong classical laser fields. The scheme requires just a single selection of the appropriate squeezing parameters and pump laser parameters. With the unique squeezing operator and a new unitary transformation, we show that seven laser fields drive four atomic ensembles into a stationary four-mode squeezed vacuum state via the cavity dissipation.

© 2019 Optical Society of America

Creation of four-mode weighted cluster states with atomic ensembles in high-Q ring cavities

Li-hui Sun, Yan-qin Chen, and Gao-xiang Li
Opt. Express 20(3) 3176-3191 (2012)

Generation of six-mode cluster states in a coupled cavity array

Li-hui Sun, Sujuan Wei, Wenju Gu, and Gao-xiang Li
J. Opt. Soc. Am. B 33(9) 1865-1872 (2016)

Atomic quadrature squeezing and quantum state transfer in a hybrid atom–optomechanical cavity with two Duffing mechanical oscillators

F. Momeni and M. H. Naderi
J. Opt. Soc. Am. B 36(3) 775-785 (2019)

Examples of Gaussian cluster computation

Peter van Loock
J. Opt. Soc. Am. B 24(2) 340-346 (2007)

Engineering W-type steady states for three atoms via dissipation in an optical cavity

Xin-Yu Chen, Li-Tuo Shen, Zhen-Biao Yang, Huai-Zhi Wu, and Mei-Feng Chen
J. Opt. Soc. Am. B 29(6) 1535-1540 (2012)