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Quantum simulation of $\phi^4$ theories in qudit systems

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arxiv 2108.13357 v3 pith:UED7WVXA submitted 2021-08-30 quant-ph

Doga Murat Kurkcuoglu , M. Sohaib Alam , Joshua Adam Job , Andy C. Y. Li , Alexandru Macridin , Gabriel N. Perdue , Stephen Providence This is my paper · ORCID
classification quant-ph
keywords fieldgatequantumsingle-quditgatesquditsystemsaddress
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abstract

We discuss the implementation of quantum algorithms for lattice $\Phi^4$ theory on circuit quantum electrodynamics (cQED) system. The field is represented on qudits in a discretized field amplitude basis. The main advantage of qudit systems is that its multi-level characteristic allows the field interaction to be implemented only with diagonal single-qudit gates. Considering the set of universal gates formed by the single-qudit phase gate and the displacement gate, we address initial state preparation and single-qudit gate synthesis with variational methods.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dense Hamiltonians at the Parseval Limit: The Noncommutative BH Constant is Exponential and the Quantum FEI Conjecture is False

    math.FA 2026-08 conditional novelty 8.0 of 10

    A new construction of flat degree-d Hamiltonians with exp(Theta(d^2)) nonzero Pauli terms makes the noncommutative Bohnenblust-Hille constant exponential and refutes the quantum Fourier Entropy-Influence conjecture.

  2. Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations

    quant-ph 2025-06 conditional novelty 7.0 of 10

    A qudit-based circuit for SU(2) lattice gauge theory on a cube, with improved decompositions for uniformly-controlled rotations and new elementary-gate resource estimates.

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