منابع مشابه
Completely positive quantum dissipation
A completely positive master equation describing quantum dissipation for a Brownian particle is derived starting from microphysical collisions, exploiting a recently introduced approach to subdynamics of a macrosystem. The obtained equation can be cast into Lindblad form with a single generator for each Cartesian direction. Temperature dependent friction and diffusion coefficients for both posi...
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Semi-Markov processes represent a well-known and widely used class of random processes in classical probability theory. Here, we develop an extension of this type of non-Markovian dynamics to the quantum regime. This extension is demonstrated to yield quantum master equations with memory kernels which allow the formulation of explicit conditions for the complete positivity of the corresponding ...
متن کاملCompletely positive quantum stochastic convolution cocycles and their dilations
Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C∗-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for completely positive convolution cocycles on a C∗-bialgebra. Stochastic (or Markovian) cocycles on operator algebras are basic objects of interest in qu...
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There are two ways to model classical information in categorical quantum mechanics. Originally, biproducts were used to capture classical information external to the category at hand [2]. Later, so-called classical structures emerged as a way to model classical data internal to the category itself [12, 13, 3]. The setting of most interest to quantum information theory is that of completely posi...
متن کاملCompletely positive approximate solutions of driven open quantum systems.
We define a perturbative approximation for the solution of Lindblad master equations with time-dependent generators that satisfies the fundamental property of complete positivity, as essential for quantum simulations and optimal control. With explicit examples we show that ensuring this property substantially improves the accuracy of the perturbative approximation.
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2000
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.84.1374