We study and compare the decoherent histories approach, the environmentinduced decoherence and the localization properties of the solutions to the stochastic Schrödinger equation in quantum jump simulation and quantum state diffusion approaches, for a quantum two-level system model. We show, in particular, that there is a close connection between the decoherent histories and the quantum jump si...

Because of inevitable coupling with the environment, nearly all practical quantum systems are open system, where the evolution is not necessarily unitary. In this paper, we propose a duality quantum algorithm for simulating Hamiltonian evolution of an open quantum system. In contrast to unitary evolution in a usual quantum computer, the evolution operator in a duality quantum computer is a line...

We study and compare the decoherent histories approach, the environment-induced decoherence and the localization properties of the solutions to the stochastic Schrr odinger equation in quantum jump simulation and quantum state diiusion approaches, for a quantum two-level system model. We show, in particular, that there is a close connection between the decoherent histories and the quantum jump ...

We present a framework to simulate the dynamics of hard probes such as heavy quarks or jets in hot, strongly-coupled quark-gluon plasma (QGP) on quantum computer. Hard QGP can be treated open systems governed Markovian limit by Lindblad equation. However, due large computational costs, most current phenomenological calculations evolving use semiclassical approximations evolution. Quantum comput...

We develop a Monte Carlo wave function algorithm for the quantum linear Boltzmann equation, a Markovian master equation describing the quantum motion of a test particle interacting with the particles of an environmental background gas. The algorithm leads to a numerically efficient stochastic simulation procedure for the most general form of this integrodifferential equation, which involves a f...