Direct reconstruction of the quantum master equation dynamics of a trapped ion qubit

Abstract

The physics of Markovian open quantum systems can be described by quantum master equations. These are dynamical equations, that incorporate the Hamiltonian and jump operators, and generate the system's time evolution. Reconstructing the system's Hamiltonian and and its coupling to the environment from measurements is important both for fundamental research as well as for performance-evaluation of quantum machines. In this paper we introduce a method that reconstructs the dynamical equation of open quantum systems, directly from a set of expectation values of selected observables. We benchmark our technique both by a simulation and experimentally, by measuring the dynamics of a trapped ${}^{88}{\text{Sr}}^{+}$ ion under spontaneous photon scattering.

arXiv comment6 pages, 6 figures. Comments are welcome!

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• Practical Black Box Hamiltonian Learning
• Experimental Liouvillian exceptional points in a quantum system without Hamiltonian singularities
• Engineering two-qubit mixed states with weak measurements
• Optimal short-time measurements for Hamiltonian learning
• Programmable quantum simulations on a trapped-ions quantum simulator with a global drive
• Simulation-assisted learning of open quantum systems
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Network structure and dynamics of effective models of non-equilibrium quantum transport
• Nature and origin of the operators entering the master equation of an open quantum system
• Lindblad estimation with fast and precise quantum control
• Lindbladian reverse engineering for general non-equilibrium steady states: A scalable null-space approach
• Open quantum dynamics with singularities: Master equations and degree of non-Markovianity