2008/11/30 by Qing Lin, Jian Li · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computer science #Controlled NOT gate #Kerr nonlinearity #Laser-Matter Interactions and Applications #Logic gate #Mathematics #Mechanical and Optical Resonators #Nonlinear optics #Nonlinear system #Photon #Physics #Quantum #Quantum Information and Cryptography #Quantum circuit #Quantum computer #Quantum gate #Quantum mechanics #Quantum network #Realization (probability) #Toffoli gate #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.79.022301
published as PHYSICAL REVIEW A 79, 022301 (2009) · 12 pages, 4 figures
arxiv created 2008/12/16 · openalex publication_date 2009/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, with the weak cross-Kerr nonlinearity, we first present a special experimental scheme called controlled-path gate with which the realization of all possible bipartite positive-operator-value measurements of two-photon polarization states may be nearly deterministic. Following the same technique, the realization of quantum control gates, including the controlled-NOT gate, Fredkin gate, Toffoli gate, arbitrary controlled-U gate, and even arbitrary multicontrolled-U gate, are proposed. The corresponding probabilities are 1∕2, 1∕8, 2∕23, etc., respectively. Only the coherent states are required but not any ancilla photons, and no coincidence measurement are required, which results in these gates being scalable. The structures of these gates are very simple, therefore we think they are feasible with the current experimental technology in optics.