Year: 2024
Type: article
Abstract: We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions. Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. This enables a mapping from a class of target Hamiltonians, defined by the graph structure of their interactions, to pulse sequences. We then obtain a recipe to implement arbitrary two-body Hamiltonians and universal quantum circuits. Performance guarantees are provided in terms of bounds on Trotter errors and total number of pulses. Additionally, Walsh pulse sequences are shown to be robust against various types of pulse errors, in contrast to previous hybrid digital-analog schemes of quantum computation. We demonstrate and numerically benchmark our protocol with examples from the dynamics of spin models, quantum error correction and quantum optimization algorithms.
Source: Quantum
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $215
Awards: G1190173965, G1527366444, G1768993395, Etude de la pile quantique : Algorithmes, modèles de calcul et simulation pour l’informatique quantique, Initiative Nationale Hybride HPC Quantique – R&D et Support des communautés, G3022749744, G3088423649, G3976037732, Qubits à Atomes Froids pour la Simulation et le Calcul Quantiques, G4710139657, Probing and verifying large-scale quantum technologies via randomized measurements, G7033770344, G7171623445, EXC 2111: Munich Center for Quantum Science and Technology (MCQST), G8908719260, G8959349008
OpenAlex ID: W4403869358