7 citations · 16 across the 5 of their papers we have counts for
5 papers
The universal Hall bialgebra of a double 2-Segal space
Mark D Penney
Hall algebras and related constructions have had diverse applications in mathematics and physics, ranging from representation theory and quantum groups to Donaldson-Thomas theory a…
Simplicial spaces, lax algebras and the 2-Segal condition
Mark D Penney
Dyckerhoff--Kapranov and Gálvez-Carrillo--Kock--Tonks independently introduced the notion of a -Segal space, that is, a simplicial space satisfying -dimensional analogues of…
Quantum circuit dynamics via path integrals: Is there a classical action for discrete-time paths?
Mark D. Penney, Dax Enshan Koh, Robert W. Spekkens
It is straightforward to give a sum-over-paths expression for the transition amplitudes of a quantum circuit as long as the gates in the circuit are balanced, where to be balanced…
Quantum Measurements of Scattered Particles
Marco Merkli, Mark Penney
We investigate the process of quantum measurements on scattered probes. Before scattering, the probes are independent, but they become entangled afterwards, due to the interaction…
Dependence of Repeated Interaction Asymptotic States on Environment
Mark D Penney
Consider a quantum system $\cS$ that interacts sequentially with a chain (environment) of identical probes ${\cal C} = \cP+\cP+...$, with each interaction governed by a fixed inter…