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Quantum lattice gas model of Fermi systems with relativistic energy relations

Quantum Physics · Submitted 12 Jul 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The split evolution operators (comprising separate kinetic and interaction energy evolution terms) serve as quantum lattice gas models useful for efficient quantum simulation.

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arXiv ID1307.3593 (version 1)
Pith IDHJCJRQIF, Pith's permanent record of this paper and its review
CitationJeffrey Yepez. "Quantum lattice gas model of Fermi systems with relativistic energy relations." arXiv:1307.3593 (2013). https://pith.science/paper/HJCJRQIF
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,804 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.15 · states limitation 0.22 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.07 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Presented are several example quantum computing representations of quantum systems with a relativistic energy relation. Basic unitary representations of free Dirac particles and BCS superconductivity are given. Then, these are combined into a novel unitary representation of a Fermi condensate superfluid. The modeling approach employs an operator splitting method that is an analytically closed-form product decomposition of the unitary evolution operator, applied in the high-energy limit. This allows the relativistic wave equations to be cast as unitary finite-difference equations. The split evolution operators (comprising separate kinetic and interaction energy evolution terms) serve as quantum lattice gas models useful for efficient quantum simulation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Presented are several example quantum computing representations of quantum systems with a relativistic energy relation. contribution 0.99 0.87 0.14 asserted 0.99
s1 Basic unitary representations of free Dirac particles and BCS superconductivity are given. contribution 0.95 0.83 0.07 asserted 1.00
s2 Then, these are combined into a novel unitary representation of a Fermi condensate superfluid. contribution 0.98 0.90 0.28 asserted 1.00
s3 The modeling approach employs an operator splitting method that is an analytically closed-form product decomposition of the unitary evolution operator, applied in the high-energy limit. method 1.00 0.82 0.11 asserted 1.00
s4 This allows the relativistic wave equations to be cast as unitary finite-difference equations. method 0.52 0.80 0.12 asserted 0.98
s5 The split evolution operators (comprising separate kinetic and interaction energy evolution terms) serve as quantum lattice gas models useful for efficient quantum simulation. interpretation 0.50 0.80 0.35 asserted 0.98

What kind of paper the classifier reports this is: method or tool 0.71 · evidence from proof or derivation 1.00.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
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  • P abstract
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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Presented are several example quantum computing representations of quantum systems with a relativistic energy relation. Basic unitary representations of free Dirac particles and BCS superconductivity are given. Then, these are combined into a novel unitary representation of a Fermi condensate superfluid. The modeling approach employs an operator splitting method that is an analytically closed-form product decomposition of the unitary evolution operator, applied in the high-energy limit. This allows the relativistic wave equations to be cast as unitary finite-difference equations. The split evolution operators (comprising separate kinetic and interaction energy evolution terms) serve as quantum lattice gas models useful for efficient quantum simulation.

Human review
How the literature uses it

1 arXiv paper cite this in 2 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Cites it as background 1 paper

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