Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

Quantum annealing is a general strategy for solving difficult optimization problems with the
aid of quantum adiabatic evolution. Both analytical and numerical evidence suggests that …

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 …

Recent experiments with increasingly larger numbers of qubits have sparked renewed
interest in adiabatic quantum computation, and in particular quantum annealing. A central …

Markovian master equations are a ubiquitous tool in the study of open quantum systems, but
deriving them from first principles involves a series of compromises. On the one hand, the …

Recently the question of whether the D-Wave processors exhibit large-scale quantum
behavior or can be described by a classical model has attracted significant interest. In this …

Adiabatic quantum computation (AQC) has been lauded for its inherent robustness to control
imperfections and relaxation effects. A considerable body of previous work, however, has …

By introducing a temporal change time scale τ A (t) for the time-dependent system
Hamiltonian, a general formulation of the Markovian quantum master equation is given to go …

The viability of nonstoquastic catalyst Hamiltonians to deliver consistent quantum speedups
in quantum adiabatic optimization remains an open question. The infinite-range …

Computing using a continuous-time evolution, based on the natural interaction Hamiltonian
of the quantum computer hardware, is a promising route to building useful quantum …