The non-equilibrium dynamics of a one-dimensional(1 D)topological system with 3 rd-nearest-neighbor hopping has been investigated by analytical and numerical methods.An analytical form of topological defect density un...The non-equilibrium dynamics of a one-dimensional(1 D)topological system with 3 rd-nearest-neighbor hopping has been investigated by analytical and numerical methods.An analytical form of topological defect density under the periodic boundary conditions(PBC)is obtained by using the Landau-Zener formula(LZF),which is consistent with the scaling of defect production provided by the Kibble-Zurek mechanism(KZM).Under the open boundary conditions(OBC),quench dynamics becomes more complicated due to edge states.The behaviors of the system quenching across different phases show that defect production no longer satisfies the KZM paradigm since complicated couplings exist under OBC.Some new dynamical features are revealed.展开更多
We present a scheme for efficiently constructing high-dimensional cluster state using probabilistic entangling quantum gates. It is shown that the required computational overhead scales efficiently both with lip and n...We present a scheme for efficiently constructing high-dimensional cluster state using probabilistic entangling quantum gates. It is shown that the required computational overhead scales efficiently both with lip and n even if all the entangling quantum gates only succeed with an arbitrary small probability, where p is the success probability of the entangling quantum gate and n is the number of qubits in the computation.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11974334,11574294,and 11774332)。
文摘The non-equilibrium dynamics of a one-dimensional(1 D)topological system with 3 rd-nearest-neighbor hopping has been investigated by analytical and numerical methods.An analytical form of topological defect density under the periodic boundary conditions(PBC)is obtained by using the Landau-Zener formula(LZF),which is consistent with the scaling of defect production provided by the Kibble-Zurek mechanism(KZM).Under the open boundary conditions(OBC),quench dynamics becomes more complicated due to edge states.The behaviors of the system quenching across different phases show that defect production no longer satisfies the KZM paradigm since complicated couplings exist under OBC.Some new dynamical features are revealed.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10674127 and 60621064, the Knowledge Innoration Project of Chinese Academy of Sciences, the National Basic Research Programme of China under Grant No 2006CB921907, the New Century Excellent Talent Project （NCET） of the Ministry of Education of China.
文摘We present a scheme for efficiently constructing high-dimensional cluster state using probabilistic entangling quantum gates. It is shown that the required computational overhead scales efficiently both with lip and n even if all the entangling quantum gates only succeed with an arbitrary small probability, where p is the success probability of the entangling quantum gate and n is the number of qubits in the computation.
