Quantum channels, complex Stiefel manifolds, and optimization
Most general dynamics of an open quantum system is commonly represented by a quantum
channel, which is a completely positive trace-preserving map (CPTP or Kraus map). Well …
channel, which is a completely positive trace-preserving map (CPTP or Kraus map). Well …
Almost all quantum channels are diagonalizable
F Vom Ende - Open Systems & Information Dynamics, 2024 - World Scientific
We prove the statement “The collection of all elements of 𝒮 which have only simple
eigenvalues is dense in 𝒮” for different sets 𝒮, including: all quantum channels, the unital …
eigenvalues is dense in 𝒮” for different sets 𝒮, including: all quantum channels, the unital …
Progress on the Kretschmann-Schlingemann-Werner Conjecture
F Ende - arXiv preprint arXiv:2308.15389, 2023 - arxiv.org
Given any pair of completely positive, trace-preserving maps $\Phi_1,\Phi_2 $ such that at
least one of them has Kraus rank one, as well as any respective Stinespring isometries …
least one of them has Kraus rank one, as well as any respective Stinespring isometries …
Almost All Quantum Channels Are Diagonalizable
F Ende - arXiv preprint arXiv:2403.19643, 2024 - arxiv.org
We prove the statement" The collection of all elements of $\mathcal S $ which have only
simple eigenvalues is dense in $\mathcal S $" for different sets $\mathcal S $, including: all …
simple eigenvalues is dense in $\mathcal S $" for different sets $\mathcal S $, including: all …
[PDF][PDF] Geometric and information-theoretic aspects of quantum thermodynamics
A de Oliveira Junior - 2024 - ruj.uj.edu.pl
Thermodynamics and quantum mechanics represent two fundamental paradigms that have
evolved into powerful and successful scientific theories, capable of describing a vast array of …
evolved into powerful and successful scientific theories, capable of describing a vast array of …