Hamiltonian Assignment for Open Quantum Systems

Abstract

We investigate the problem of determining the Hamiltonian of a locally interacting open-quantum system. To do so, we construct model estimators based on inverting a set of stationary, or dynamical, Heisenberg-Langevin equations of motion which rely on a polynomial number of measurements and parameters. We validate our Hamiltonian assignment methods by numerically simulating one-dimensional XX-interacting spin chains coupled to thermal reservoirs. We study Hamiltonian learning in the presence of systematic noise and find that, in certain time dependent cases, the Hamiltonian estimator accuracy increases when relaxing the environment's physicality constraints.

5 pages, 3 figures, updated Fig 1 and references

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Cited by in corpus (6)

• Digital-Analog Quantum Simulations Using The Cross-Resonance Effect
• High-accuracy Hamiltonian learning via delocalized quantum state evolutions
• Optimal parent Hamiltonians for time-dependent states
• When can a local Hamiltonian be recovered from a steady state?
• Non-Hermitian Parent Hamiltonian from Generalized Quantum Covariance Matrix
• Lindbladian reverse engineering for general non-equilibrium steady states: A scalable null-space approach