Exponentially more precise quantum simulation of fermions in second quantization

DOI10.1088/1367-2630/18/3/033032zbMath1456.81132arXiv1506.01020OpenAlexW3101201397WikidataQ59438246 ScholiaQ59438246MaRDI QIDQ5854995

Dominic W. Berry, Alán Aspuru-Guzik, Ryan Babbush, Ian D. Kivlichan, Annie Y. Wei, Peter J. Love

Publication date: 12 March 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01020

Mathematics Subject Classification ID

Quantum computation (81P68) Fermionic systems in quantum theory (81V74)

Related Items (9)

A Trotter-Suzuki approximation for Lie groups with applications to Hamiltonian simulation ⋮ (\(s, \ln^\kappa\))-weak tractability of linear problems ⋮ EXPONENTIAL IMPROVEMENT IN PRECISION FOR SIMULATING SPARSE HAMILTONIANS ⋮ T-count optimized Wallace tree integer multiplier for quantum computing ⋮ A generalized circuit for the Hamiltonian dynamics through the truncated series ⋮ Unnamed Item ⋮ Bounding the costs of quantum simulation of many-body physics in real space ⋮ A novel and efficient square root computation quantum circuit for floating-point standard ⋮ EC-\((s, t)\)-weak tractability of multivariate linear problems in the average case setting

Cites Work

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• Efficient quantum algorithms for simulating sparse Hamiltonians
• Quantum computations on a topologically encoded qubit
• EXPONENTIAL IMPROVEMENT IN PRECISION FOR SIMULATING SPARSE HAMILTONIANS
• Modern Computer Arithmetic
• Universal Quantum Simulators
• Simulating quantum dynamics on a quantum computer
• Adiabatic quantum state generation and statistical zero knowledge
• Faster quantum chemistry simulation on fault-tolerant quantum computers
• Efficient discrete-time simulations of continuous-time quantum query algorithms
• The theory of variational hybrid quantum-classical algorithms

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