Quantifying environmental memory degree from the aspect of environmental sensitivity


An intuitive and natural way to quantify memory effects through measures on a probe quantum system is given from the aspect of sensitivity of environmental state. After several measures on the probe system, the degree of memory effects is given by the maximum distinguishability of output states of probe system corresponding to the variation of past evolution time. Quantum Fisher information on the past evolution duration which reflects the sensitivity of environmental state with respect to the system–environment evolution duration becomes the characteristic parameter of memory degree. The estimation process is applied on both classical and quantum environments, and the memory degree from the aspect of sensitivity of environmental state reflects the memory speed of environment.

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This work was supported by the National Natural Science Foundation of China under Grants No. 11605030, the science and technology top talent support program of Guizhou educational department under Grant No. QJHKYZ[2017]084 and the academic new talent program of Guizhou department of Science and Technology under Grant No. GYU-KJT[2019]-23.

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Correspondence to Yao Jin.

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Jin, Y. Quantifying environmental memory degree from the aspect of environmental sensitivity. Quantum Inf Process 20, 77 (2021). https://doi.org/10.1007/s11128-021-03020-4

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  • Memory degree
  • Environmental sensitivity
  • Memory speed