Abstract

A Fredkin gate is an indispensable logic gate for the applications of the scalable quantum network. Weak cross-Kerr nonlinearities serve as the intermediary between photons and coherent states and thus provide the indirect interaction between photons. By means of weak cross-Kerr nonlinearities, we propose a construction scheme of a nearly deterministic Fredkin gate, where polarization modes of photons carry quantum bits. By virtue of an X homodyne measurement on the coherent state, the appropriate classical feed-forward operations are executed according to the different measurement outcomes. Applying one swap gate and two combination gates and other assistant simple optical elements, the nearly deterministic Fredkin gate is successfully constructed. The unique features of photons as quantum information carriers with high velocity and low decoherence, combined with simple elements and mature operation techniques, afford the possibility to the scheme proposed here which takes aim at feasible quantum logic circuits for practical and scalable quantum computation and quantum communication.

© 2016 Optical Society of America

Highly efficient optical Fredkin gate with weak nonlinearities and classical information feed-forward

Meng-Zheng Zhu and Xin-Guo Yin
J. Opt. Soc. Am. B 30(2) 355-361 (2013)

Construction scheme of a two-photon polarization controlled arbitrary phase gate mediated by weak cross-phase modulation

Xiao-Ming Xiu, Li Dong, Hong-Zhi Shen, Ya-Jun Gao, and X. X. Yi
J. Opt. Soc. Am. B 30(3) 589-597 (2013)

Universal quantum gates on electron-spin qubits with quantum dots inside single-side optical microcavities

Hai-Rui Wei and Fu-Guo Deng
Opt. Express 22(1) 593-607 (2014)

Quantum Fourier transform of polarization photons mediated by weak cross-Kerr nonlinearity

Li Dong, Xiao-Ming Xiu, Hong-Zhi Shen, Ya-Jun Gao, and X. X. Yi
J. Opt. Soc. Am. B 30(10) 2765-2773 (2013)

One-step implementation of the genuine Fredkin gate in high-Q coupled three-cavity arrays

Xiao-Qiang Shao, Tai-Yu Zheng, Xun-Li Feng, C. H. Oh, and Shou Zhang
J. Opt. Soc. Am. B 31(4) 697-703 (2014)