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Utilizing the framework of $\mathbb{Z}_2$ lattice gauge theories in the context of Pauli stabilizer codes, we present methodologies for simulating fermions via qubit systems on a two-dimensional square lattice.
A local representation for fermions on a lattice ,
J. Wosiek, · 1981
Earlier work this paper cites.
Jordan-wigner transformation for quantum-spin systems in two dimensions and fractional statistics ,
E. Fradkin, · 1989
Earlier work this paper cites.
Über das paulische äquivalenzverbot ,
P. Jordan and E. P. Wigner, · 1993
Earlier work this paper cites.
Stabilizer codes and quantum error correction ,
D. Gottesman, · 1997
Earlier work this paper cites.
The heisenberg representation of quantum computers ,
D. Gottesman, · 1998
Earlier work this paper cites.
Fermionic quantum computation ,
S. B. Bravyi and A. Y. Kitaev, · 2002
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons ,
A. Kitaev, · 2003
Earlier work this paper cites.
Quantum orders in an exact soluble model ,
X.-G. Wen, · 2003
Earlier work this paper cites.
Improved simulation of stabilizer circuits ,
S. Aaronson and D. Gottesman, · 2004
Earlier work this paper cites.
Fermions without fermion fields ,
R. C. Ball, · 2005
Earlier work this paper cites.
Mapping local hamiltonians of fermions to local hamiltonians of spins ,
F. Verstraete and J. I. Cirac, · 2005
Earlier work this paper cites.
Anyons in an exactly solved model and beyond ,
A. Kitaev, · 2006
Earlier work this paper cites.
Topological order with a twist: Ising anyons from an abelian model ,
H. Bombin, · 2010
Earlier work this paper cites.
Surface codes: Towards practical large-scale quantum computation ,
A. G. Fowler, M. Mariantoni, J. M. Martinis and A. N. Cleland, · 2012
Earlier work this paper cites.
Commuting pauli hamiltonians as maps between free modules ,
J. Haah, · 2013
Earlier work this paper cites.
Reduced space-time and time costs using dislocation codes and arbitrary ancillas ,
M. B. Hastings and A. Geller, · 2014
Earlier work this paper cites.
Bifurcation in entanglement renormalization group flow of a gapped spin model ,
J. Haah, · 2014
Earlier work this paper cites.
Digital quantum simulation of fermionic models with a superconducting circuit ,
R. Barends, L. Lamata, J. Kelly, L. García-Álvarez, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Y. Chen et al. , · 2015
Earlier work this paper cites.
A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations ,
S. Vijay, J. Haah and L. Fu, · 2015
Earlier work this paper cites.
Local spin operators for fermion simulations ,
J. D. Whitfield, V. Havlíček and M. Troyer, · 2016
Earlier work this paper cites.
Algebraic methods for quantum codes on lattices ,
J. Haah, · 2016
Earlier work this paper cites.
Quantum simulation of a fermi–hubbard model using a semiconductor quantum dot array ,
T. Hensgens, T. Fujita, L. Janssen, X. Li, C. Van Diepen, C. Reichl, W. Wegscheider, S. Das Sarma and L. M. Vandersypen, · 2017
Earlier work this paper cites.
A cold-atom fermi–hubbard antiferromagnet ,
A. Mazurenko, C. S. Chiu, G. Ji, M. F. Parsons, M. Kanász-Nagy, R. Schmidt, F. Grusdt, E. Demler, D. Greif and M. Greiner, · 2017
Earlier work this paper cites.
Poking holes and cutting corners to achieve clifford gates with the surface code ,
B. J. Brown, K. Laubscher, M. S. Kesselring and J. R. Wootton, · 2017
Cited alongside, same era.
Exact bosonization in two spatial dimensions and a new class of lattice gauge theories ,
Y.-A. Chen, A. Kapustin and D. Radicevic, · 2018
Cited alongside, same era.
Fermion-to-qubit mappings with varying resource requirements for quantum simulation ,
M. Steudtner and S. Wehner, · 2018
Cited alongside, same era.
Quantum simulation of the hubbard model with ultracold fermions in optical lattices (2019), 1809.00571
L. Tarruell and L. Sanchez-Palencia, · 2019
Cited alongside, same era.
Superfast encodings for fermionic quantum simulation ,
K. Setia, S. Bravyi, A. Mezzacapo and J. D. Whitfield, · 2019
Cited alongside, same era.
Quantum codes for quantum simulation of fermions on a square lattice of qubits ,
A compact fermion to qubit mapping part 2: Alternative lattice geometries ,
C. Derby and J. Klassen, · 2021
Later among the works it cites.
Logical majorana fermions for fault-tolerant quantum simulation ,
A. J. Landahl and B. C. Morrison, · 2021
Later among the works it cites.
Quantum error correction with gauge symmetries ,
A. Rajput, A. Roggero and N. Wiebe, · 2021
Later among the works it cites.
Clifford quantum cellular automata: Trivial group in 2d and witt group in 3d ,
J. Haah, · 2021
Later among the works it cites.
Classification of translation invariant topological Pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices ,
J. Haah, · 2021
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M. Steudtner and S. Wehner, · 2019
Cited alongside, same era.
Bosonization in three spatial dimensions and a 2-form gauge theory ,
Y.-A. Chen and A. Kapustin, · 2019
Cited alongside, same era.
Quantum codes for quantum simulation of fermions on a square lattice of qubits ,
M. Steudtner and S. Wehner, · 2019
Cited alongside, same era.
Majorana loop stabilizer codes for error mitigation in fermionic quantum simulations ,
Z. Jiang, J. McClean, R. Babbush and H. Neven, · 2019
Cited alongside, same era.
Sorting topological stabilizer models in three dimensions ,
A. Dua, I. H. Kim, M. Cheng and D. J. Williamson, · 2019
Cited alongside, same era.
Observation of separated dynamics of charge and spin in the fermi-hubbard model ,
F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, A. Bengtsson, S. Boixo, M. Broughton, B. B. Buckley et al. , · 2020
Cited alongside, same era.
Exact bosonization in arbitrary dimensions ,
Y.-A. Chen, · 2020
Cited alongside, same era.
Later among the works it cites.
Asymptotically good quantum and locally testable classical ldpc codes ,
P. Panteleev and G. Kalachev, · 2022
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Good quantum ldpc codes with linear time decoder from lossless expanders ,
T.-C. Lin and M.-H. Hsieh, · 2022
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Bosonization of majorana modes and edge states ,
A. Bochniak, B. Ruba and J. Wosiek, · 2022
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Ultrafast hybrid fermion-to-qubit mapping ,
O. O’Brien and S. Strelchuk, · 2022
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Boson-fermion duality with subsystem symmetry ,
W. Cao, M. Yamazaki and Y. Zheng, · 2022
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A unified framework of transformations based on the jordan–wigner transformation ,
Q.-S. Li, H.-Y. Liu, Q. Wang, Y.-C. Wu and G.-P. Guo, · 2022
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Berry phases of vison transport in 𝕫 2 {\mathbb{z}}_{2} topologically ordered states from exact fermion-flux lattice dualities ,
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Variational solutions to fermion-to-qubit mappings in two spatial dimensions ,
J. Nys and G. Carleo, · 2022
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Homological invariants of pauli stabilizer codes ,
B. Ruba and B. Yang, · 2022
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Optimizing fermionic encodings for both hamiltonian and hardware (2022), 2210.05652
R. W. Chien and J. Klassen, · 2022
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Good quantum ldpc codes with linear time decoders ,
I. Dinur, M.-H. Hsieh, T.-C. Lin and T. Vidick, · 2023
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Nature pp. 1–6 (2023)
Non-abelian braiding of graph vertices in a superconducting processor , · 2023
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Low-depth simulations of fermionic systems on square-grid quantum hardware (2023), 2302.01862
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Equivalence between fermion-to-qubit mappings in two spatial dimensions ,
Y.-A. Chen and Y. Xu, · 2023
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Quantum circuits for solving local fermion-to-qubit mappings ,
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Simulating quantum error mitigation in fermionic encodings ,
R. W. Chien, K. Setia, X. Bonet-Monroig, M. Steudtner and J. D. Whitfield, · 2023
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Fermionic quantum processing with programmable neutral atom arrays ,
D. González-Cuadra, D. Bluvstein, M. Kalinowski, R. Kaubruegger, N. Maskara, P. Naldesi, T. V. Zache, A. M. Kaufman, M. D. Lukin, H. Pichler et al. , · 2023
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