Exact solution to quantum dynamical activity

• URL: http://arxiv.org/abs/2311.12627v2
• Date: Sat, 16 Mar 2024 04:12:33 GMT
• Title: Exact solution to quantum dynamical activity
• Authors: Tomohiro Nishiyama, Yoshihiko Hasegawa,
• Abstract summary: We present the exact solution for the quantum dynamical activity by deploying the continuous matrix product state method. We also determine the upper bound of the dynamical activity, which comprises the standard deviation of the system Hamiltonian and jump operators.
• Score: 1.6574413179773757
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The quantum dynamical activity constitutes a thermodynamic cost in trade-off relations such as the quantum speed limit and the quantum thermodynamic uncertainty relation. However, calculating the quantum dynamical activity has been a challenge. In this paper, we present the exact solution for the quantum dynamical activity by deploying the continuous matrix product state method. Moreover, using the derived exact solution, we determine the upper bound of the dynamical activity, which comprises the standard deviation of the system Hamiltonian and jump operators. We confirm the exact solution and the upper bound by performing numerical simulations.

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