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Variational consistent histories as a hybrid algorithm for quantum foundations

Author

Listed:
  • Andrew Arrasmith

    (Theoretical Division, MS 213, Los Alamos National Laboratory
    Department of Physics, University of California Davis)

  • Lukasz Cincio

    (Theoretical Division, MS 213, Los Alamos National Laboratory)

  • Andrew T. Sornborger

    (Information Sciences, MS 256, Los Alamos National Laboratory)

  • Wojciech H. Zurek

    (Theoretical Division, MS 213, Los Alamos National Laboratory)

  • Patrick J. Coles

    (Theoretical Division, MS 213, Los Alamos National Laboratory)

Abstract

Although quantum computers are predicted to have many commercial applications, less attention has been given to their potential for resolving foundational issues in quantum mechanics. Here we focus on quantum computers’ utility for the Consistent Histories formalism, which has previously been employed to study quantum cosmology, quantum paradoxes, and the quantum-to-classical transition. We present a variational hybrid quantum-classical algorithm for finding consistent histories, which should revitalize interest in this formalism by allowing classically impossible calculations to be performed. In our algorithm, the quantum computer evaluates the decoherence functional (with exponential speedup in both the number of qubits and the number of times in the history) and a classical optimizer adjusts the history parameters to improve consistency. We implement our algorithm on a cloud quantum computer to find consistent histories for a spin in a magnetic field and on a simulator to observe the emergence of classicality for a chiral molecule.

Suggested Citation

  • Andrew Arrasmith & Lukasz Cincio & Andrew T. Sornborger & Wojciech H. Zurek & Patrick J. Coles, 2019. "Variational consistent histories as a hybrid algorithm for quantum foundations," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-11417-0
    DOI: 10.1038/s41467-019-11417-0
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    Cited by:

    1. Samson Wang & Enrico Fontana & M. Cerezo & Kunal Sharma & Akira Sone & Lukasz Cincio & Patrick J. Coles, 2021. "Noise-induced barren plateaus in variational quantum algorithms," Nature Communications, Nature, vol. 12(1), pages 1-11, December.

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