Generalized jordan-wigner transformations

CD Batista, G Ortiz - Physical review letters, 2001 - APS
… algebra, that constitutes a natural generalization of the Jordan-Wigner transformation for
S … We illustrate the power of the transformation by finding exact solutions to lattice models …

Jordan-Wigner transformations and their generalizations for multidimensional systems

MS Kochman'ski - arXiv preprint cond-mat/9807388, 1998 - arxiv.org
transformations (1.1) and (1.4) will be called one-dimensional Jordan-Wigner transformations
Here we will consider generalized transformations of the JW type for lattice systems from a …

[HTML][HTML] Onsager algebra and algebraic generalization of Jordan-Wigner transformation

K Minami - Nuclear Physics B, 2021 - Elsevier
… Recently, an algebraic generalization of the Jordan-Wigner transformation was introduced
and applied to one- and two-dimensional systems. This transformation is composed of the …

Symmetric Jordan-Wigner transformation in higher dimensions

HC Po - arXiv preprint arXiv:2107.10842, 2021 - arxiv.org
… The Jordan-Wigner transformation is traditionally applied to one dimensional systems, but
recent works have generalized the transformation … -dimensional Jordan-Wigner transformation

Geometric Algebra JordanWigner Transformation for Quantum Simulation

G Veyrac, Z Toffano - Entropy, 2024 - mdpi.com
transformations such as the JordanWigner transformation (JWT) [17,18] or the Bravyi–Kitaev
transformation [19,… could make the application of this transformation more natural. We will …

Jordan-Wigner transformation for quantum-spin systems in two dimensions and fractional statistics

E Fradkin - Physical review letters, 1989 - APS
… Schultz, Mattis, and Lieb showed that a Jordan-Wigner transformation … showed that
such a transformation … In this paper I discuss a Jordan-Wigner transformation for two-dimensional …

[PDF][PDF] The Fermionic canonical commutation relations and the Jordan-Wigner transform

MA Nielsen - School of Physical Sciences The University of …, 2005 - academia.edu
… of the Fermionic CCRs known as the JordanWigner transform. This powerful tool allows us
to … THE JORDAN-WIGNER TRANSFORM In this section we describe the Jordan-Wigner trans…

Generalization of the Jordan-Wigner transformation in three dimensions and its application to the Heisenberg bilayer antiferromagnet

B Bock, M Azzouz - Physical Review B, 2001 - APS
… definition of the Jordan-Wigner transformation to three dimensions using the generalization
of ideas that … Then we apply this transformation to the investigation of the Heisenberg bilayer …

A unified framework of transformations based on the JordanWigner transformation

QS Li, HY Liu, Q Wang, YC Wu, GP Guo - The Journal of Chemical …, 2022 - pubs.aip.org
… of transformations mapping fermionic systems to qubit systems is presented and many existing
transformations—such as JordanWigner… We will generalize the MSP transformation and …

Simulation of quantum computation with magic states via Jordan-Wigner transformations

M Zurel, LZ Cohen, R Raussendorf - arXiv preprint arXiv:2307.16034, 2023 - arxiv.org
… Our construction is based on Jordan-Wigner transformations, and its range of applicability
includes the earlier CNC construction [11], which in turn includes the stabilizer formalism [8, 15…