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Fidelity Determines the Minimum Error of Quantum Recovery
Dario Picozzi
Even a recovery that maximizes worst-input entanglement fidelity can retain avoidable errors in subsequent measurements. Entanglement fidelity is the probability of passing a test…
The information geometry of large language models is shared, learned, and controllable
Dario Picozzi
Large language models learn similar behaviours, yet it remains unclear what structure they share or how to change one behaviour without disturbing others. The Fisher-Rao geometry o…
A hardware-efficient variational ansatz with an exact diagonal metric for real- and imaginary-time evolution and Haar sampling
Dario Picozzi
Variational quantum algorithms depend on the geometry of their parametrised circuits: metric-aware optimisation and time evolution require the Fubini--Study metric, which has hithe…
Symmetry-adapted qubit encoding with complete active space and Bravyi--Kitaev mapping for quantum chemistry on a quantum computer
Dario Picozzi, Jonathan Tennyson
We present a symmetry-adapted qubit encoding with complete active space (SAE-CAS) for quantum chemistry on fault-tolerant and near-term quantum processors. Building on exact-symmet…
Periodic Symmetry-Adapted Encoding: Qubit Reduction in Crystalline Electronic Structure
Dario Picozzi
We introduce periodic symmetry-adapted encoding (SAE) for qubit-efficient simulations of crystalline materials, extending the molecular SAE framework developed in earlier work to p…