Higher Order Moments Dynamics for Some Multimode Quantum Master Equations

Quantum dissipative master equations: Some exact results

Some recent global stability results for higher order difference equations ∗

We give a brief overview of some recent results for the global asymptotic stability of a difference equation xn+1 = f(n, xn, . . . , xn−k), n ≥ 0, assuming that the zero solution is the unique equilibrium. Different techniques are used, involving the use of new discrete inequalities, monotonicity arguments, and delay perturbation methods. For the particular case of linear autonomous difference ...

Higher-order moments and tensors

P(X = z t) = w t > 0. How to learn parameters {(w t , z t)} k t=1 ? Relatively straightforward given iid sample.

Fluctuation theorems for quantum master equations.

A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation--i.e., a quantum master equation (QME). Quantum trajectories and their associated entropy, heat, and work appear naturally by transforming the QME to a time-dependent Liouville space basis that d...

Master equations for correlated quantum channels.

We derive the general form of a master equation describing the reduced time evolution of a sequence of subsystems "propagating" in an environment which can be described as a sequence of subenvironments. The interaction between subsystems and subenvironments is described in terms of a collision model, with the irreversible dynamics of the subenvironments between collisions explicitly taken into ...