2 papers
quant-ph2026
Connes Distance in Discrete-Time Quantum Walks
Rayan Trabelsi, A. F. Reyes-Lega, Pablo Arrighi
We study the geometric spread of discrete-time quantum walks using Connes' distance formula. We introduce its discrete analogue by adapting the continuous spectral metric to the la…
quant-ph2025
From Symmetric Toeplitz Hamiltonians to Quantum Circuits
Rayan Trabelsi
This work introduces a quantum circuit synthesis framework for simulating the unitary time evolution under a subclass of symmetric Toeplitz Hamiltonians by decomposing them into sp…