Efficient quantum-enhanced classical simulation for patches of quantum landscapes

Understanding the capabilities of classical simulation methods is key to identifying where quantum computers are advantageous. Not only does this ensure that quantum computers are used only where necessary, but also one can potentially identify subroutines that can be offloaded onto a classical devi...

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Bibliographic Details
Published in:arXiv.org 2024-11
Main Authors: Lerch, Sacha, Puig, Ricard, Rudolph, Manuel S, Angrisani, Armando, Jones, Tyson, Cerezo, M, Thanasilp, Supanut, Holmes, Zoë
Format: Article
Language:English
Subjects:
Algorithms
Quantum computers
Qubits (quantum computing)
Time measurement
Topology
Online Access:Get full text
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Summary:Understanding the capabilities of classical simulation methods is key to identifying where quantum computers are advantageous. Not only does this ensure that quantum computers are used only where necessary, but also one can potentially identify subroutines that can be offloaded onto a classical device. In this work, we show that it is always possible to generate a classical surrogate of a sub-region (dubbed a "patch") of an expectation landscape produced by a parameterized quantum circuit. That is, we provide a quantum-enhanced classical algorithm which, after simple measurements on a quantum device, allows one to classically simulate approximate expectation values of a subregion of a landscape. We provide time and sample complexity guarantees for a range of families of circuits of interest, and further numerically demonstrate our simulation algorithms on an exactly verifiable simulation of a Hamiltonian variational ansatz and long-time dynamics simulation on a 127-qubit heavy-hex topology.
ISSN:2331-8422