Geometric driving of two-level quantum systems

Quantum modeling of two-level photovoltaic systems

We present a quantum formalism that provides a quantitative picture of the fundamental processes of charge separation that follow an absorption event. We apply the formalism to two-level photovoltaic cells and our purpose is to pedagogically explain the main aspects of the model. The formalism is developed in the energy domain and provides detailed knowledge about existence or absence of locali...

Transitionless quantum driving in open quantum systems

We extend the concept of superadiabatic dynamics, or transitionless quantum driving, to quantum open systems whose evolution is governed by a master equation in the Lindblad form. We provide the general framework needed to determine the control strategy required to achieve superadiabaticity. We apply our formalism to two examples consisting of a two-level system coupled to environments with tim...

Time optimal simultaneous control of two level quantum systems

Fast non-Abelian geometric gates via transitionless quantum driving

A practical quantum computer must be capable of performing high fidelity quantum gates on a set of quantum bits (qubits). In the presence of noise, the realization of such gates poses daunting challenges. Geometric phases, which possess intrinsic noise-tolerant features, hold the promise for performing robust quantum computation. In particular, quantum holonomies, i.e., non-Abelian geometric ph...

Sliding Mode Control of Two-Level Quantum Systems

In [Dong and Petersen, Sliding Mode Control of Two-Level Quantum Systems, arXiv:1009.0558, quant-ph, 2010], a sliding mode control approach has been proposed for twolevel quantum systems to deal with bounded uncertainties in the system Hamiltonian. This paper further extends these results in two directions. One extension is to consider the effect of uncertainties during the process of driving t...