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2018

Calculus on parameterized quantum circuits

Vidal, Javier Gil, Theis, Dirk Oliver

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Mitarai, Negoro, Kitagawa, and Fujii proposed a type of parameterized quantum circuits, for which they gave a way to estimate derivatives wrt the parameters using only changes in the values of the parameters, not in the circuit itself, i.e., no ancillas or controlled operations.

Recently, Schuld et al.
have extended the results, but they need to revert to ancillas and controlled operations for some cases.
In this note, we extend the types of MiNKiF circuits for which derivatives can be computed without ancillas or controlled operations --- at the cost of a larger number of evaluation points.

Calculus on parameterized quantum circuits · Around

Built on

Convex optimization
Stephen Boyd and Lieven Vandenberghe · 2004
Earlier work this paper cites.
Simple all-microwave entangling gate for fixed-frequency superconducting qubits
Jerry M Chow, AD Córcoles, Jay M Gambetta, Chad Rigetti, BR Johnson, John A Smolin, JR Rozen, George A Keefe, Mary B Rothwell, Mark B Ketchen, et al · 2011
Earlier work this paper cites.
A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J Love, Alán Aspuru-Guzik, and Jeremy L O’brien · 2014
Earlier work this paper cites.

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