摘要
Weak cross-Kerr media provides additional degrees of freedom of qubits in quantum information processing.In this paper,by exploiting weak cross-Kerr nonlinearity,we propose an optical implementation scheme of one-dimensional quantum random walks. The random walks are described by the interaction of single photons with cross-Kerr media.The proposed scheme can also be used to implement one-dimensional quantum random walks on an infinite line.
Weak cross-Kerr media provides additional degrees of freedom of qubits in quantum information processing.In this paper,by exploiting weak cross-Kerr nonlinearity,we propose an optical implementation scheme of one-dimensional quantum random walks. The random walks are described by the interaction of single photons with cross-Kerr media.The proposed scheme can also be used to implement one-dimensional quantum random walks on an infinite line.
基金
supported by the National Basic Research Program of China (2010CB923202)
the Specialized Research Fund for Doctoral Programs of the Ministry of Education of China(20090005120008)
the Fundamental Research Funds for the Central Universities(BUPT2009RC0710)
the National Natural Science Foundation of China(10805010,10947151)