A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits

Ragone, Michael; Bakalov, Bojko N.; Sauvage, Frédéric; Kemper, Alexander F.; Ortiz Marrero, Carlos; Larocca, Martín; Cerezo, M.

doi:10.1038/s41467-024-49909-3

Nat Commun

2024

DOI: 10.1038/s41467-024-49909-3

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A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits

Michael Ragone,

Bojko N. Bakalov,

Frédéric Sauvage

et al.

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Cited by 11 publications

References 68 publications

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Computing exact moments of local random quantum circuits via tensor networks

Braccia,

Bermejo,

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et al. 2024

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Fighting Noise with Noise: A Stochastic Projective Quantum Eigensolver

Filip

2024

J. Chem. Theory Comput.

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In the current noisy intermediate scale quantum era of quantum computation, available hardware is severely limited by both qubit count and noise levels, precluding the application of many current hybrid quantum-classical algorithms to nontrivial quantum chemistry problems. In this paper we propose applying some of the fundamental ideas of conventional Quantum Monte Carlo algorithms�stochastic sampling of both the wave function and the Hamiltonian�to quantum algorithms in order to significantly decrease quantum resource costs. In the context of an imaginary-time propagation based projective quantum eigensolver, we present a novel approach to estimating physical observables which can lead to an order of magnitude reduction in the required sampling of the quantum state to converge the ground state energy of a system relative to current state-of-the-art eigensolvers. The method can be equally applied to excited-state calculations and, combined with stochastic approximations of the system Hamiltonian, provides a promising near-term approach to Hamiltonian simulation for general chemistry on quantum devices.

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A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits

Cited by 11 publications

References 68 publications

Computing exact moments of local random quantum circuits via tensor networks

Computing exact moments of local random quantum circuits via tensor networks

Boundary treatment for variational quantum simulations of partial differential equations on quantum computers

Fighting Noise with Noise: A Stochastic Projective Quantum Eigensolver

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