From the 1 of 6 linked papers with an AI index.
6 papers
Universal Quantum Computation with Multi-Mode Schrödinger Cat States Stabilized by Non-Local Dissipation Engineering
Jesper Lind-Olsen, Jonas Lidal, Tron Omland +1
The paper proposes a universal set of quantum gates for multi‑mode Schrödinger cat qubits that are stabilized by engineered non‑local dissipation, demonstrating high‑fidelity singl…
Selflessness for twisted group C*-algebras of amenable groups and their inclusions
Tron Omland
For a discrete amenable group with a two-cocycle , we record a few results on when the twisted group -algebra is selfless, in the sense of Robert. In parti…
Metrics on completely positive maps via noncommutative geometry
Are Austad, Erik Bédos, Jonas Eidesen +2
We study methods of inducing metrics on unital completely positive maps by employing seminorms arising in noncommutative geometry. Our main approach relies on the development of an…
The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
Konrad Aguilar, Karina Behera, Katrine von Bornemann Hjelmborg +4
Building off work of Farenick and Rahaman, we extend the definition of the density space and the Bures metric to the setting of non-unital C*-algebras equipped with a faithful trac…
Shift-invariant transformations and almost liftings
Jan Kristian Haugland, Tron Omland
We investigate shift-invariant transformations, also known as rotation-symmetric vectorial Boolean functions, on bits that are induced from Boolean functions on bits, for $…
New classes of reversible cellular automata
Jan Kristian Haugland, Tron Omland
A Boolean function on ~bits induces a shift-invariant vectorial Boolean function from bits to bits for every . If is bijective for every , we say…