Exact closed-form expressions for unitary spin-adapted fermionic singlet double excitation operators

We derive exact closed-form expressions for the matrix exponential of the anti-Hermitian spin-adapted singlet double excitation fermionic operators. These expressions enable the efficient implementation of such operators within unitary product state frameworks targeting conventional hardware and allow for the implementation of ansätze that guarantee convergence to specific spin symmetries. Moreover, these exact closed-form expressions might also lay the groundwork for constructing spin-adapted circuits for quantum devices.

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Publication Details

Journal
The Journal of Chemical Physics
Published
2025-10-03
DOI
https://doi.org/10.1063/5.0278717
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
0.00

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article

Exact closed-form expressions for unitary spin-adapted fermionic singlet double excitation operators

Erik Rosendahl Kjellgren, Karl Michael Ziems, Sonia Coriani, Peter Reinholdt et al.
The Journal of Chemical Physics
Quantum Computing Algorithms and Architecture
article

Exact closed-form expressions for unitary spin-adapted fermionic singlet double excitation operators

Erik Rosendahl Kjellgren, Karl Michael Ziems, Sonia Coriani, Peter Reinholdt, Stephan P. A. Sauer, Jacob Kongsted
article en

Abstract

We derive exact closed-form expressions for the matrix exponential of the anti-Hermitian spin-adapted singlet double excitation fermionic operators. These expressions enable the efficient implementation of such operators within unitary product state frameworks targeting conventional hardware and allow for the implementation of ansätze that guarantee convergence to specific spin symmetries. Moreover, these exact closed-form expressions might also lay the groundwork for constructing spin-adapted circuits for quantum devices.

The Journal of Chemical PhysicsVol. 163(13)
University of Copenhagen (DK), University of Southern Denmark (DK), University of Southampton (GB), IT University of Copenhagen (DK), Technical University of Denmark (DK)
Novo Nordisk, Novo Nordisk Fonden
Openalex Percentile: Top 86%
Quantum Computing Algorithms and Architecture
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Exact closed-form expressions for unitary spin-adapted fermionic singlet double excitation operators — Erik Rosendahl Kjellgren, Karl Michael Ziems, et al. · The Journal of Chemical Physics (2025) | TGRS Research Map | TGRS