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

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Abstract

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.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 12005182 and the University Natural Science Research of Project of Jiangsu Province under Grant No. 20KJB140003. The corresponding author also acknowledge the sponsorship by the QingLan Project Q022001.

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Authors and Affiliations

  1. Department of Information Engineering, Changzhou Vocational Institute of Industry Technology, 213164, Changzhou, Jiangsu, China

    Lu Hou & Yuguang Zhu

  2. School of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, Jiangsu, China

    Lu Hou

  3. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China

    Yanan Zhang

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  1. Lu Hou
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Contributions

L. Hou came up with the main idea of the paper and wrote the main manuscript text. Y. N. Zhang gave a useful suggestion about the method of the measurement scheme. Y. G. Zhu prepared the figures from Fig. 1 to Fig. 9. All authors reviewed the paper.

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Correspondence to Lu Hou.

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Hou, L., Zhang, Y. & Zhu, Y. Exploring the Evolution Speed of a Two-qubit System Under Weak Measurement and Measurement Reversal in Correlated Noise Channels. Int J Theor Phys 62, 221 (2023). https://doi.org/10.1007/s10773-023-05481-y

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