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quant-ph2026
Quantum graphs of homomorphisms
Andre Kornell, Bert Lindenhovius
We introduce a category of quantum graphs, whose definition is motivated entirely from noncommutative geometry. For all quantum graphs and in $\mathsf{qGph}…
quant-ph2025
Some improvements to product formula circuits for Hamiltonian simulation
Andre Kornell, Peter Selinger
We provide three improvements to the product formula implementation of the ground state energy estimation algorithm via Trotter-Suzuki decomposition. These consist of smaller circu…
quant-ph2024
Completely hereditarily atomic OMLs
John Harding, Andre Kornell
An irreducible complete atomic OML of infinite height cannot both be algebraic and have the covering property. However, Kalmbach's construction provides an example of such an OML t…