Pascal's pyramid and number projection operators for quantum computation
D Picozzi - arXiv preprint arXiv:2407.16561, 2024 - arxiv.org
The pursuit of quantum advantage in simulating many-body quantum systems on quantum
computers has gained momentum with advancements in quantum hardware. This work …
computers has gained momentum with advancements in quantum hardware. This work …
Particle-conserving quantum circuit ansatz with applications in variational simulation of bosonic systems
Constrained problems are frequently encountered in classical and quantum optimization.
Particle conservation, in particular, is commonly imposed when studying energy spectra of …
Particle conservation, in particular, is commonly imposed when studying energy spectra of …
Revealing symmetries in quantum computing for many-body systems
R van Leeuwen - arXiv preprint arXiv:2407.03452, 2024 - arxiv.org
We develop a method to deduce the symmetry properties of many-body Hamiltonians when
they are prepared in Jordan-Wigner form for evaluation on quantum computers. Symmetries …
they are prepared in Jordan-Wigner form for evaluation on quantum computers. Symmetries …
The open-source python package QuantumSymmetry: the water molecule on four qubits
D Picozzi, J Tennyson - Quantum Engineering and Technology …, 2023 - ieeexplore.ieee.org
The symmetry-adapted encodings (SAEs) provide a useful tool to reduce the computational
requirements of the simulation of molecular systems on quantum computers. This is …
requirements of the simulation of molecular systems on quantum computers. This is …