RECORD
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.
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.
Open the compiled record
The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
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
Papers citing it · 1 sentence without a confident label
Cites it as background 1 paper
-
Quantum lattice gas and quantum Boltzmann models for relativistic quantum systems have been investigated for quantum simulation applications [ref] .
Quantum computational path summation for relativistic quantum mechanics and a time dilation relation for a Dirac Hamiltonian generator on a qubit array · Introduction · 0.97
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.