Improved Hamiltonians for Quantum Simulations

Carena, Marcela; Lamm, Henry; Li, Ying-Ying; Liu, Wanqiang

doi:10.48550/arxiv.2203.02823

Cited by 1 publication

(3 citation statements)

References 79 publications

(107 reference statements)

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“…One may, therefore, desire to work in the group-element basis [125], which simplifies the simulation of both the gauge-matter coupling and the magnetic Hamiltonians. Furthermore, by formulating in this basis, one maintains a close relation to standard lattice-field-theory methods which simplifies analysis [389,390] and development of algorithms [126,208,391,392]. However, quantizing and truncating the group elements in the SU(N) LGT is not straightforward and may violate the group symmetry.…”

Section: B Theoretical Developments For Quantum Simulation Of Qftsmentioning

confidence: 99%

“…One approach around this is to approximate continuous gauge groups by their crystal-like subgroups. This crystallization reduces qubit costs [190,389,[393][394][395][396] with realistic estimates for SU (3) LGT being ∼ 10 qubits per gauge link, and is agnostic to the particular Hamiltonian chosen [392]. This remnant gauge symmetry simplifies renormalization issues, in particular from gauge-symmetry violation.…”

Section: B Theoretical Developments For Quantum Simulation Of Qftsmentioning

confidence: 99%

“…By proper choices of Hamiltonians and actions, it has been demonstrated that for U(1) and SU(N), systematic errors from this approximation should remain negligible for quantum simulations for the forseeable future where qubit counts remain below O(10 7 ) and the lattice spacings a 0.06 fm [394,395]. As quantum resources improve, systematic improvements to the Hamiltonians are possible [128,389,390,392].…”

Section: B Theoretical Developments For Quantum Simulation Of Qftsmentioning

confidence: 99%

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Quantum Simulation for High Energy Physics

Bauer¹,

Davoudi²,

Balantekin³

et al. 2022

Preprint

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It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. This fact speaks of a remarkable rate of growth of this subfield over the past few years, stimulated by the impressive advancements in Quantum Information Sciences (QIS) and associated technologies over the past decade, and the significant investment in this area by the government and private sectors in the U.S. and other countries. High-energy physicists have quickly identified problems of importance to our understanding of nature at the most fundamental level, from tiniest distances to cosmological extents, that are intractable with classical computers but may benefit from quantum advantage. They have initiated, and continue to carry out, a vigorous program in theory, algorithm, and hardware co-design for simulations of relevance to the HEP mission. This community whitepaper is an attempt to bring this exciting and yet challenging area of research to the spotlight, and to elaborate on what the promises, requirements, challenges, and potential solutions are over the next decade and beyond.

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