Reexamination of measurement-induced chaos in entanglement-purification protocols
Yilun Guan, Duy Quang Nguyen, Jingwei Xu, Jiangbin Gong · Physical Review A · 2013
Entanglement-purification protocols, developed for the sake of high-fidelity communication through noisy quantum channels, are highly nonlinear quantum operations and can offer a very useful context to studies of nonlinear complex maps. Recently it was demonstrated that the feedback mechanism used in a typical purification protocol can cause the evolution dynamics of qubits to exhibit chaos [Kiss et al., Phys. Rev. Lett. 107, 100501 (2011)]. In this work we extend the investigation by considering the natural time evolution of qubits during a purification process, leading to a number of interesting findings that reflect the competition between the natural unitary evolution of qubits and nonlinear purification operations. As a result, the overall evolution dynamics of entanglement can be much richer. Possible applications are also proposed.