Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes
of the controlling parameters of a system. The shortcuts are designed by a set of analytical …

Optimization, sampling and machine learning are topics of broad interest that have inspired
significant developments and new approaches in quantum computing. One such approach …

We develop from first principles Markovian master equations suited for studying the time
evolution of a system evolving adiabatically while coupled weakly to a thermal bath. We …

Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

Manipulating the state of a logical quantum bit (qubit) usually comes at the expense of
exposing it to decoherence. Fault-tolerant quantum computing tackles this problem by …

Markovian reservoir engineering, in which time evolution of a quantum system is governed
by a Lindblad master equation, is a powerful technique in studies of quantum phases of …

We develop a perturbation theory of quantum (and classical) master equations with slowly
varying parameters, applicable to systems which are externally controlled on a time scale …

The rise of quantum information science has opened up a new venue for applications of the
geometric phase (GP), as well as triggered new insights into its physical, mathematical, and …

Universal computation of a quantum system consisting of superpositions of well-separated
coherent states of multiple harmonic oscillators can be achieved by three families of …

Recently, it has been realized that dissipative processes can be harnessed and exploited to
the end of coherent quantum control and information processing. In this spirit, we consider …