Abstract

In a quantum computer, qubits are often stored in identical two-level systems separated by a distance shorter than the characteristic wavelength of the reservoirs that are responsible for decoherence. In this case the collective qubit–reservoir interaction, rather than the individual qubit–reservoir interaction, may determine the decoherence properties. We study the collective decoherence behavior in between each step in certain quantum algorithms and propose a simple alternative of implementing quantum algorithms using a quantum trajectory that is close to a decoherence–free subspace that avoids unstable Dicke’s superradiant states and Schrödinger’s cat state.

© 2007 Optical Society of America

Superradiance as a source of collective decoherence in quantum computers

D. D. Yavuz
J. Opt. Soc. Am. B 31(11) 2665-2670 (2014)

Logic-qubit controlled-NOT gate of decoherence-free subspace with nonlinear quantum optics

Chun-Yan Li, Zu-Rong Zhang, Shi-Hai Sun, Mu-Sheng Jiang, and Lin-Mei Liang
J. Opt. Soc. Am. B 30(7) 1872-1877 (2013)

Photonic scheme of quantum phase estimation for quantum algorithms via cross-Kerr nonlinearities under decoherence effect

Changho Hong, Jino Heo, Min-Sung Kang, Jingak Jang, Hyun-Jin Yang, and Daesung Kwon
Opt. Express 27(21) 31023-31041 (2019)

Decoherence-free-subspace-based deterministic conversions for entangled states with heralded robust-fidelity quantum gates

Fang-Fang Du, Xue-Mei Ren, Zhi-Guo Fan, Ling-Hui Li, Xin-Shan Du, Ming Ma, Gang Fan, and Jing Guo
Opt. Express 32(2) 1686-1700 (2024)

Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers

Jian Zhou, Wei-Can Yu, Yu-Mei Gao, and Zheng-Yuan Xue
Opt. Express 23(11) 14027-14035 (2015)