Optimised Trotter decompositions for classical and quantum computing

J Ostmeyer - Journal of Physics A: Mathematical and Theoretical, 2023 - iopscience.iop.org
Optimised Trotter decompositions for classical and quantum computing - IOPscience This
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Quantum computation of stop** power for inertial fusion target design

NC Rubin, DW Berry, A Kononov… - Proceedings of the …, 2024 - National Acad Sciences
Stop** power is the rate at which a material absorbs the kinetic energy of a charged
particle passing through it—one of many properties needed over a wide range of …

Strong error bounds for Trotter and strang-splittings and their implications for quantum chemistry

D Burgarth, P Facchi, A Hahn, M Johnsson… - Physical Review …, 2024 - APS
Efficient error estimates for the Trotter product formula are central in quantum computing,
mathematical physics, and numerical simulations. However, the Trotter error's dependency …

Faster algorithmic quantum and classical simulations by corrected product formulas

M Bagherimehrab, DW Berry, P Schleich… - arxiv preprint arxiv …, 2024 - arxiv.org
Hamiltonian simulation using product formulas is arguably the most straightforward and
practical approach for algorithmic simulation of a quantum system's dynamics on a quantum …

Exponentially Reduced Circuit Depths Using Trotter Error Mitigation

JD Watson, J Watkins - arxiv preprint arxiv:2408.14385, 2024 - arxiv.org
Product formulae are a popular class of digital quantum simulation algorithms due to their
conceptual simplicity, low overhead, and performance which often exceeds theoretical …

A Review of Quantum Scientific Computing Algorithms for Engineering Problems

OM Raisuddin, S De - arxiv preprint arxiv:2408.13943, 2024 - arxiv.org
Quantum computing, leveraging quantum phenomena like superposition and entanglement,
is emerging as a transformative force in computing technology, promising unparalleled …

Efficient and practical Hamiltonian simulation from time-dependent product formulas

JL Bosse, AM Childs, C Derby, FM Gambetta… - arxiv preprint arxiv …, 2024 - arxiv.org
In this work we propose an approach for implementing time-evolution of a quantum system
using product formulas. The quantum algorithms we develop have provably better scaling …

Simulation of two-dimensional electronic spectroscopy on a near-term quantum computer using a probe qubit protocol

JD Guimarães, J Lim, MI Vasilevskiy, SF Huelga… - arxiv preprint arxiv …, 2024 - arxiv.org
Two-dimensional electronic spectroscopy (2DES) is a powerful tool for exploring quantum
effects in energy transport within photosynthetic systems and investigating novel material …

Multi-product Hamiltonian simulation with explicit commutator scaling

J Aftab, D An, K Trivisa - arxiv preprint arxiv:2403.08922, 2024 - arxiv.org
The well-conditioned multi-product formula (MPF), proposed by [Low, Kliuchnikov, and
Wiebe, 2019], is a simple high-order time-independent Hamiltonian simulation algorithm that …