Cascaded programmable waveguide arrays with strictly positive, nearest-neighbor couplings can approximate any unitary matrix to arbitrary precision, with error decreasing as the number of sections grows.
Multi-Axis Control of a Qubit in the Presence of Unknown Non-Markovian Quantum Noise
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abstract
In this paper, we consider the problem of open-loop control of a qubit that is coupled to an unknown fully quantum non-Markovian noise (either bosonic or fermionic). A graybox model that is empirically obtained from measurement data is employed to approximately represent the unknown quantum noise. The estimated model is then used to calculate the open-loop control pulses under constraints on the pulse amplitude and timing. For the control pulse optimization, we explore the use of gradient descent and genetic optimization methods. We consider the effect of finite sampling on estimating expectation values of observables and show results for single- and multi-axis control of a qubit.
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Universal programmable waveguide arrays
Cascaded programmable waveguide arrays with strictly positive, nearest-neighbor couplings can approximate any unitary matrix to arbitrary precision, with error decreasing as the number of sections grows.