3 papers
quant-ph2026
Benchmarking Techniques for Decoded Quantum Interferometry
Leon Bollmann, Maximilian Hess
We develop a new benchmarking scheme for the Decoded Quantum Interferometry (DQI) algorithm quantifying the number of quantum gates required to obtain an optimal solution to a prob…
math.SP2025
An enhanced term in the Szegő-type asymptotics for the free massless Dirac operator
Leon Bollmann
We consider a regularised Fermi projection of the Hamiltonian of the massless Dirac equation at Fermi energy zero. The matrix-valued symbol of the resulting operator is discontinuo…
math-ph2024
Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension
Leon Bollmann, Peter Müller
We prove a logarithmically enhanced area law for all Rényi entanglement entropies of the ground state of a free gas of relativistic Dirac fermions. Such asymptotics occur in any di…