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A variational eigenvalue solver on a photonic quantum processor

Alberto Peruzzo (), Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J. Love, Alán Aspuru-Guzik () and Jeremy L. O’Brien ()
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Alberto Peruzzo: Centre for Quantum Photonics, University of Bristol
Jarrod McClean: Harvard University
Peter Shadbolt: Centre for Quantum Photonics, University of Bristol
Man-Hong Yung: Harvard University
Xiao-Qi Zhou: Centre for Quantum Photonics, University of Bristol
Peter J. Love: Haverford College
Alán Aspuru-Guzik: Harvard University
Jeremy L. O’Brien: Centre for Quantum Photonics, University of Bristol

Nature Communications, 2014, vol. 5, issue 1, 1-7

Abstract: Abstract Quantum computers promise to efficiently solve important problems that are intractable on a conventional computer. For quantum systems, where the physical dimension grows exponentially, finding the eigenvalues of certain operators is one such intractable problem and remains a fundamental challenge. The quantum phase estimation algorithm efficiently finds the eigenvalue of a given eigenvector but requires fully coherent evolution. Here we present an alternative approach that greatly reduces the requirements for coherent evolution and combine this method with a new approach to state preparation based on ansätze and classical optimization. We implement the algorithm by combining a highly reconfigurable photonic quantum processor with a conventional computer. We experimentally demonstrate the feasibility of this approach with an example from quantum chemistry—calculating the ground-state molecular energy for He–H+. The proposed approach drastically reduces the coherence time requirements, enhancing the potential of quantum resources available today and in the near future.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:5:y:2014:i:1:d:10.1038_ncomms5213

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DOI: 10.1038/ncomms5213

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