7 citations · 9 across the 2 of their papers we have counts for
3 papers
math.AT2017★ 2 cited
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…
math.AT2017★ 7 cited
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…
quant-ph2016
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…