Several techniques of generating random quantum channels, which act on the set of d-
dimensional quantum states, are investigated. We present three approaches to the problem …

Continuous-time Markovian evolution appears to be manifestly different in classical and
quantum worlds. We consider ensembles of random generators of N-dimensional Markovian …

A quantum version of the Monge-Kantorovich optimal transport problem is analyzed. The
transport cost is minimized over the set of all bipartite coupling states ρ AB such that both of …

Quantum coherence is a fundamental feature of quantum mechanics and an underlying
requirement for most quantum information tasks. In the resource theory of coherence …

We study the ability of a quantum channel to generate quantum coherence when it applies
to incoherent states. We define the measure of coherence generating power (CGP) for a …

Quantum coherence is a fundamental resource in quantum information and computation.
Deep insight can be gained into the nature of coherence by studying the quantum channels …

We investigate the coherence of quantum channels and establish a resource theory for
quantifying the coherence of quantum channels. To this aim, we define the incoherent …

Based on the resource theory for quantifying the coherence of quantum channels, we
introduce a new coherence quantifier for quantum channels via maximum relative entropy …

Quantifying the number of resources contained in a physical object has been one of the core
topics in the resource theory of coherence. In this paper, we introduce the dynamical …

We introduce different ensembles of random Lindblad operators ℒ, which satisfy quantum
detailed balance condition with respect to given stationary state σ of size N, and investigate …