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While LDPC codes have been demonstrated with desirable error correcting properties, this has come at a cost of diverging from the geometrical constraints of many hardware platforms.
“Universal Translationally-Invariant Hamiltonians”, 2020
Stephen Piddock and Johannes Bausch · 2001
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“Classical and Quantum Computation”
Alexei. Kitaev, A.. Shen and Mikhail. Vyalyi · 2002
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“Classical and Quantum Computation”
A. Kitaev, A. Shen and M. Vyalyi · 2002
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“Translationally-Invariant Universal Quantum Hamiltonians in 1D”, 2020
Tamara Kohler, Stephen Piddock, Johannes Bausch and Toby Cubitt · 2003
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“The complexity of quantum spin systems on a two-dimensional square lattice”, 2008
Roberto Oliveira and Barbara Terhal · 2008
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Sergey Bravyi and Barbara Terhal · 2009
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“Tradeoffs for Reliable Quantum Information Storage in 2D Systems”
Sergey Bravyi, David Poulin and Barbara Terhal · 2010
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“Lieb-Robinson Bounds in Quantum Many-Body Physics”, 2010
Bruno Nachtergaele and Robert Sims · 2010
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Nikolas Breuckmann and Jens Eberhardt · 2012
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Sergey Bravyi and Matthew Hastings · 2014
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Andreas Winter · 2014
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Yudong Cao and Daniel Nagaj · 2018
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“Divide and conquer method for proving gaps of frustration free Hamiltonians”, 2018
Michael Kastoryano and Angelo Lucia · 2018
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“Hamiltonian Sparsification and Gap-Simulation”
Dorit Aharonov and Leo Zhou · 2019
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“Universal quantum Hamiltonians”, 2019
Toby Cubitt, Ashley Montanaro and Stephen Piddock · 2019
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“Toy Models of Holographic Duality between local Hamiltonians”, 2019
Tamara Kohler and Toby Cubitt · 2019
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“Universal qudit Hamiltonians”, 2018
Stephen Piddock and Ashley Montanaro · 2018
Cited alongside, same era.
“Strongly Universal Hamiltonian Simulators”
Leo Zhou and Dorit Aharonov
Cited in the paper.
“Frustration free gapless Hamiltonians for Matrix Product States”
C Fern\’andez-Gonz\’alez, N Schuch, M Wolf, J Cirac and D P\’erez-Garc\’ia
Cited in the paper.
“Asymptotically Good Quantum and Locally Testable Classical LDPC Codes”
Pavel Panteleev and Gleb Kalachev · 2021
Later among the works it cites.