332 citations · 2k across the 60 of their papers we have counts for
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Exact chiral symmetry with quantum signal processing
Henry Lamm, Alessandro Roggero, Hersh Singh +1
We give a quantum signal processing (QSP) algorithm for the overlap fermion Hamiltonian which preserves the Ginsparg-Wilson relation up to a controllable error . Quantum simul…
Binary Gauss Stabilizers for Abelian Lattice Gauge Theories
Matteo Turco, Luca Spagnoli, Alessandro Roggero
Gauge theories and quantum error-correcting codes share the same underlying structure: both use constraints to identify a specific subspace of the full Hilbert space. In quantum er…
Schrödinger-Navier-Stokes Equation for the Quantum Simulation of Navier-Stokes Flows
Luca Cappelli, Sauro Succi, Monica Lacatus +2
The search for quantum-like wave formulations of the Navier-Stokes (Schrödinger-Navier-Stokes, SNS for short) equations describing classical dissipative fluids has met with increas…
Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators
Samuel Godwood, Doğa Murat Kürkçüoğlu, Gabriel N. Perdue +2
Finite local Hilbert-space truncations arise naturally in quantum simulations of lattice field theories and motivate qudit encodings, but their fault-tolerant advantage over qubit…
Neutrino Flavor Evolution in High Flux Astrophysical Environments
Joseph Carlson, Alessandro Roggero, Duff Neill
We examine neutrino evolution in astrophysical environments where the neutrino flux is very large, including core-collapse supernovae and neutron star mergers. In these environment…
Qudit stabiliser codes for lattice gauge theories with matter
Luca Spagnoli, Alessandro Roggero, Nathan Wiebe
In this work we extend the connection between Quantum Error Correction (QEC) and Lattice Gauge Theories (LGTs) by showing that a gauge theory with prime dimension $N…
Block encoding of sparse matrices with a periodic diagonal structure
Alessandro Andrea Zecchi, Claudio Sanavio, Luca Cappelli +3
Block encoding is a successful technique used in several powerful quantum algorithms. In this work we provide an explicit quantum circuit for block encoding a sparse matrix with a…