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Wave-function positivization via automatic differentiation

Giacomo Torlai, Juan Carrasquilla, Matthew T. Fishman, Roger G. Melko, Matthew P. A. Fisher

2020Physical Review Research29 citationsDOIOpen Access PDF

Abstract

The authors introduce a numerical algorithm combining combines tensor networks and automatic differentiation to uncover a local unitary transformation that removes the sign structure from a quantum wavefunction.

Topics & Concepts

Automatic differentiationComputer scienceUnitary transformationTensor (intrinsic definition)AlgorithmTransformation (genetics)Sign (mathematics)Artificial intelligenceMathematicsUnitary stateQuantumTheoretical computer scienceAlgebra over a fieldTensor productScheme (mathematics)Computer visionBasis (linear algebra)Numerical differentiationQuantum Computing Algorithms and ArchitectureQuantum many-body systemsQuantum Information and Cryptography
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