Combinatorial optimization is anticipated to be one of the primary use cases for quantum
computation in the coming years. The Quantum Approximate Optimization Algorithm and …

The cooling of a Bose gas in finite time results in the formation of a Bose-Einstein
condensate that is spontaneously proliferated with vortices. We propose that the vortex …

The crossing of a continuous phase transition gives rise to the formation of topological
defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The …

We propose a quantum annealing protocol that effectively probes the dynamics of a single
qubit on D-Wave's quantum annealing hardware. This protocol uses D-Wave'sh-gain …

We introduce a gravitational lattice theory defined in an AdS 3 black hole background that
provides a holographic dual description of the linear-to-zigzag structural phase transition …

Reverse annealing is a variant of quantum annealing, in which the system is prepared in a
classical state, reverse annealed to an inversion point, and then forward annealed. We …

We study the statistics of the kink number generated by quantum annealing in a one-
dimensional transverse Ising model coupled to a bosonic thermal bath. Using the freezing …

The spin-vector Monte Carlo model is widely used as a benchmark for the classicality of
quantum annealers but severely restricts the time evolution. The spin-vector Langevin (SVL) …

The superfluid phase transition dynamics and associated spontaneous vortex formation with
the crossing of the critical temperature in a disk geometry is studied in the framework of the …

This work generalizes Shor's algorithm into quasi-Shor algorithms by replacing the modular
exponentiation with alternative unitary operations. By using the quantum circuits to generate …