Progress in Compensating Pulse Sequences for Quantum Computation
J. True Merrill, Kenneth R. Brown · Advances in chemical physics · 2014
This chapter examines a number of techniques for handling unwanted control errors, including amplitude errors, timing errors, and frequency errors in the control field. The chapter discusses the common principles used to develop compensating pulse sequences. It provides a framework in which to develop new sequences, which will be of use to both quantum computation and coherent atomic and molecular spectroscopy. The chapter focuses on a model one-qubit nuclear-magnetic resonance (NMR) quantum computer, which serves as a relevant example of a system where coherent control is possible. Several models for errors in the controls of a one-qubit NMR quantum computer are considered. Several aspects of the theory of Lie groups are discussed with emphasis on conceptual clarity over mathematical rigor. The chapter studies pulse sequences that compensate single-qubit operations.