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We study unfrustrated spin Hamiltonians that consist of commuting tensor products of Pauli matrices.
Number of points of varieties in finite fields
Lang, S. & Weil, A · 1954
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Local stabilizer codes in three dimensions without string logical operators
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Finite Free Resolutions (Cambridge University Press, 1976)
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The Theory of Error Correcting Codes (North-Holland, Amsterdam, 1977)
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Algebraic properties of cellular automata
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Determinantal Rings
Bruns, W. & Vetter, U · 1988
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Mean-field theory of spin-liquid states with finite energy gap and topological orders
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Good quantum error-correcting codes exist
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Calderbank, A. R., Rains, E. M., Shor, P. W. & Sloane, N. J. A · 1997
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Gröbner bases for ideals in Laurent polynomial rings and their application to systems of difference equations
Pauer, F. & Unterkircher, A · 1999
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Glassy dynamics and aging in an exactly solvable spin model
Newman, M. E. J. & Moore, C · 1999
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Kitaev, A. Y., Shen, A. H. & Vyalyi, M. N · 2002
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Algebra (Springer, 2002), revised 3rd edn
Lang, S · 2002
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Alicki, R., Horodecki, M., Horodecki, P. & Horodecki, R · 2010
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Chesi, S., Loss, D., Bravyi, S. & Terhal, B. M · 2010
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Bravyi, S., Hastings, M. & Michalakis, S · 2010
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Bravyi, S. & Haah, J · 2011
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