Majorana Tensor Decomposition: A unifying framework for decompositions of fermionic Hamiltonians to Linear Combination of Unitaries

I Loaiza, AS Brahmachari, AF Izmaylov - arxiv preprint arxiv:2407.06571, 2024 - arxiv.org
Linear combination of unitaries (LCU) decompositions have appeared as one of the main
tools for encoding operators on quantum computers, allowing efficient implementations of …

Complexity of digital quantum simulation in the low-energy subspace: Applications and a lower bound

W Gong, S Zhou, T Li - Quantum, 2024 - quantum-journal.org
Digital quantum simulation has broad applications in approximating unitary evolution of
Hamiltonians. In practice, many simulation tasks for quantum systems focus on quantum …

Explicit error bounds with commutator scaling for time-dependent product and multi-product formulas

K Mizuta, TN Ikeda, K Fujii - arxiv preprint arxiv:2410.14243, 2024 - arxiv.org
Product formula (PF), which approximates the time evolution under a many-body
Hamiltonian by the product of local time evolution operators, is one of the central …