Exploring the Evolution Speed of a Two-qubit System Under Weak Measurement and Measurement Reversal in Correlated Noise Channels

We investigate the speed of evolution of a two qubits system passing through three kinds of correlated channels (amplitude damping, phase damping, and depolarizing). By utilizing the pre-weak measurement and post-measurement scheme, the evolution speed of the system can be accelerated when suffers from the correlated noise channels. If the correlation parameter of the channel is adjusted, the speed of evolution will change with the variation of the strength of the correlated noise environment. In addition, the relation between entanglement and the measurement scheme is also studied. It is shown that entanglement may induce the change of evolution speed and the measurements could enhance the entanglement between the two qubits as the system is in a correlated amplitude damping channel and depolarizing channel.