50 citations · 64 across the 11 of their papers we have counts for
4 papers · 1 filter
Shorter width truncated Taylor series for Hamiltonian dynamics simulations
Michelle Wynne Sze, David Zsolt Manrique, David Muñoz Ramo +1
As established in the seminal work by Berry et al.[1], expanding the time evolution operator using truncated Taylor series (up to some order ) makes a good candidate for simulat…
Beyond asymptotic reasoning: the practicalities of a quantum ground state projector based on the wall-Chebyshev expansion
Maria-Andreea Filip, Nathan Fitzpatrick
We consider a quantum algorithm for ground-state preparation based on a Chebyshev series approximation to the wall function. In a classical setting, this approach is appealing as i…
The Quantum Paldus Transform: Efficient Circuits with Applications
Jędrzej Burkat, Nathan Fitzpatrick
We present the Quantum Paldus Transform: an efficient quantum algorithm for block-diagonalising fermionic, spin-free Hamiltonians in the second quantisation. Our algorithm implemen…
Hamiltonian dynamics simulation using linear combination of unitaries on an ion trap quantum computer
Michelle Wynne Sze, Yao Tang, Silas Dilkes +3
The linear combination of unitaries (LCU) method has proven to scale better than existing product formulas in simulating long time Hamiltonian dynamics. However, given the number o…