Journal
QUANTUM SCIENCE AND TECHNOLOGY
Volume 4, Issue 3, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/2058-9565/ab18d5
Keywords
dynamical variables; parameter estimation; quantum control; quantum information
Funding
- ARL-CDQI [W911NF-15-2-0067, W911NF-18-2-0237]
- ARO [W911NF-18-1-0020, W911NF-18-1-0212]
- ARO MURI [W911NF-16-1-0349]
- AFOSR MURI [FA9550-14-1-0052, FA9550-15-1-0015]
- DOE [DE-SC0019406]
- NSF [EFMA-1640959]
- Packard Foundation [2013-39273]
- Australian Research Council through the Centre of Excellence in Engineered Quantum Systems [CE170100009]
- US Army Research Office [W911NF-14-1-0098, W911NF-14-1-0103]
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Estimating the parameters governing the dynamics of a system is a prerequisite for its optimal control. We present a simple but powerful method that we call STEADY, for STochastic Estimation algorithm for DYnamical variables, to estimate the Hamiltonian (or Lindbladian) governing a quantum system of a few qubits. STEADY makes efficient use of all measurements and its performance scales as the information-theoretic limits for such an estimator. Importantly, it is inherently robust to state preparation and measurement errors. It is not limited to evaluating only a fixed set of possible gates, rather it estimates the complete Hamiltonian of the system. The estimator is applicable to any Hamiltonian that can be written as a piecewise-differentiable function and it can easily include estimators for the non-unitary parameters as well. At the heart of our approach is a stochastic gradient descent over the difference between experimental measurement and model prediction.
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