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| Hauptseite > Publikationsdatenbank > Roadmap for quantum simulation of the fractional quantum Hall effect > print |
| Hauptseite > Publikationsdatenbank > Roadmap for quantum simulation of the fractional quantum Hall effect > print |
| 001 | 909194 | ||
| 005 | 20220923174115.0 | ||
| 024 | 7 | _ | |a 10.1103/PhysRevA.102.022607 |2 doi |
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| 037 | _ | _ | |a FZJ-2022-03062 |
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| 100 | 1 | _ | |a Kaicher, Michael P. |0 0000-0001-7986-5127 |b 0 |
| 245 | _ | _ | |a Roadmap for quantum simulation of the fractional quantum Hall effect |
| 260 | _ | _ | |a Woodbury, NY |c 2020 |b Inst. |
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| 520 | _ | _ | |a A major motivation for building a quantum computer is that it provides a tool to efficiently simulate strongly correlated quantum systems. In this paper, we present a detailed roadmap on how to simulate a two-dimensional electron gas—cooled to absolute zero and pierced by a strong transversal magnetic field—on a quantum computer. This system describes the setting of the fractional quantum Hall effect, one of the pillars of modern condensed-matter theory. We give analytical expressions for the two-body integrals that allow for mixing between N Landau levels at a cutoff M in angular momentum and give gate-count estimates for the efficient simulation of the energy spectrum of the Hamiltonian on an error-corrected quantum computer. We then focus on studying efficiently preparable initial states and their overlap with the exact ground state for noisy as well as error-corrected quantum computers. By performing an imaginary time evolution of the covariance matrix, we find the generalized Hartree-Fock solution to the many-body problem and study how a multireference state expansion affects the state overlap. We perform small-system numerical simulations to study the quality of the two initial state Ansätze in the lowest Landau level approximation. |
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| 700 | 1 | _ | |a Jäger, Simon B. |0 P:(DE-Juel1)188115 |b 1 |
| 700 | 1 | _ | |a Dallaire-Demers, Pierre-Luc |0 0000-0002-9316-5597 |b 2 |
| 700 | 1 | _ | |a Wilhelm, Frank K. |0 P:(DE-HGF)0 |b 3 |e Corresponding author |
| 773 | _ | _ | |a 10.1103/PhysRevA.102.022607 |g Vol. 102, no. 2, p. 022607 |0 PERI:(DE-600)2844156-4 |n 2 |p 022607 |t Physical review / A |v 102 |y 2020 |x 2469-9926 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/909194/files/PhysRevA.102.022607.pdf |y OpenAccess |
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