Qubit Regularization and Qubit Embedding Algebras

Liu, Hanqing; Chandrasekharan, Shailesh

doi:10.3390/sym14020305

Cited by 18 publications

(2 citation statements)

References 66 publications

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“…A systematic way to explore the qubit-regularization approach within the quantum-link framework was discussed recently in Ref. [429]. Future work needs to extend this approach to gauge theories and fermionic theories.…”

Section: B Theoretical Developments For Quantum Simulation Of Qftsmentioning

confidence: 99%

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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Section: B Theoretical Developments For Quantum Simulation Of Qftsmentioning

confidence: 99%

Quantum Simulation for High Energy Physics

Bauer¹,

Davoudi²,

Balantekin³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In such a worldline formulation, we can develop a worm algorithm which can sample configurations very efficiently and compute the correlation functions, even in the large-charge sectors. These models have also recently become interesting due to their potential for studying QFTs on quantum computers [27][28][29][30][31][32]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Large-charge conformal dimensions at the $O(N)$ Wilson-Fisher fixed point

Singh¹

2022

Preprint

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Recent work using a large-charge expansion for the O(N ) Wilson-Fisher conformal field theory has shown that the anomalous dimensions of large-charge operators can be expressed in terms of a few low-energy constants (LECs) of a large-charge effective field theory (EFT). By performing lattice Monte Carlo computations at the O(N ) Wilson-Fisher fixed point, we compute the anomalous dimensions of large-charge operators up to N = 8 and charge Q = 10, and extract the leading and subleading LECs of the O(N ) large-charge EFT. To alleviate the signal-to-noise ratio problem present in the large-charge sector of conventional lattice formulations of the O(N ) theory, we employ a recently developed qubit formulation of the O(N ) nonlinear sigma models with a worm algorithm. This enables us to test the validity of the large-charge expansion and the recent large-N predictions for the coefficients of the large-charge EFT.

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Qubit regularized O(N) nonlinear sigma models

Singh

2022

Phys. Rev. D

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Qubit Regularization and Qubit Embedding Algebras

Cited by 18 publications

References 66 publications

Quantum Simulation for High Energy Physics

Quantum Simulation for High Energy Physics

Large-charge conformal dimensions at the $O(N)$ Wilson-Fisher fixed point

Qubit regularized O(N) nonlinear sigma models

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