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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 hither…
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…
Electron-molecule scattering via R-matrix variational algorithms on a quantum computer
Dario Picozzi, Jonathan Tennyson, Vincent Graves +1
Electron-molecule collisions play a central role in both natural processes and modern technological applications, particularly in plasma processing. Conventional computational stra…
Pascal's pyramid and number projection operators for quantum computation
Dario Picozzi
The pursuit of quantum advantage in simulating many-body quantum systems on quantum computers has gained momentum with advancements in quantum hardware. This work focuses on levera…
The Variational Quantum Eigensolver: a review of methods and best practices
Jules Tilly, Hongxiang Chen, Shuxiang Cao +8
The variational quantum eigensolver (or VQE) uses the variational principle to compute the ground state energy of a Hamiltonian, a problem that is central to quantum chemistry and…