Quantify the Non-Markovian Process with Intervening Projections in a Superconducting Processor
Year: 2021
Type: preprint
Abstract: A Markov assumption considers a physical system memoryless to simplify its dynamics. Whereas memory effect or the non-Markovian phenomenon is more general in nature. In the quantum regime, it is challenging to define or quantify the non-Markovianity because the measurement of a quantum system often interferes with it. We simulate the open quantum dynamics in a superconducting processor, then characterize and quantify the non-Markovian process. With the complete set of intervening projections and the final measurement of the qubit, a restricted process tensor can be determined to account for the qubit-environment interaction. We apply the process tensor to predict the quantum state with memory effect, yielding an average fidelity of $99.86\%\pm 1.1\unicode{x2030}$. We further derive the Choi state of the rest process conditioned on history operations and quantify the non-Markovianity with a clear operational interpretation.
Source: arXiv (Cornell University)
Authors: Xiang, Liang, Zong, Zhiwen, Zhan, Ze, Fei, Ying, Run, Chongxin, Wu, Yaozu, Jin, Wenyan, Jia, Zhilong, Duan, Peng, Wu, Jianlan, Yin, Yi, Guo, Guoping
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3160968992