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Magic is a property of a quantum state that characterizes its deviation from a stabilizer state, serving as a useful resource for achieving universal quantum computation e.g., within schemes that use Clifford operations.
“Antiferromagnetism. the triangular ising net”
G. H. Wannier · 1950
Earlier work this paper cites.
“Order-disorder in hexagonal lattices”
R.M.F. Houtappel · 1950
Earlier work this paper cites.
“Orderings of a stacked frustrated triangular system in three dimensions”
Daniel Blankschtein, M. Ma, A. Nihat Berker, Gary S. Grest, and C. M. Soukoulis · 1984
Earlier work this paper cites.
“Superconductivity and the quantum hard-core dimer gas”
Daniel S. Rokhsar and Steven A. Kivelson · 1988
Earlier work this paper cites.
“Collective monte carlo updating for spin systems”
Ulli Wolff · 1989
Earlier work this paper cites.
“Exchange monte carlo method and application to spin glass simulations”
Koji Hukushima and Koji Nemoto · 1996
Earlier work this paper cites.
“Numerical evidence for spontaneously broken replica symmetry in 3d spin glasses”
E. Marinari, G. Parisi, J. Ruiz-Lorenzo, and F. Ritort · 1996
Earlier work this paper cites.
“The magnetization of the 3d ising model”
A L Talapov and H W J Blöte · 1996
Earlier work this paper cites.
“Stabilizer codes and quantum error correction” (1997)
Daniel Gottesman · 1997
Earlier work this paper cites.
“Quantifying entanglement”
V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight · 1997
Earlier work this paper cites.
“The heisenberg representation of quantum computers” (1998)
Daniel Gottesman · 1998
Earlier work this paper cites.
“Theory of fault-tolerant quantum computation”
Daniel Gottesman · 1998
Earlier work this paper cites.
“Statistical Physics of Spin Glass and Information Processing: an Introduction”
Hidetoshi Nishimori · 2001
Earlier work this paper cites.
“Ising models of quantum frustration”
R. Moessner and S. L. Sondhi · 2001
Earlier work this paper cites.
“Interplay of quantum and thermal fluctuations in a frustrated magnet”
S. V. Isakov and R. Moessner · 2003
Earlier work this paper cites.
“Three-dimensional resonating-valence-bond liquids and their excitations”
R. Moessner and S. L. Sondhi · 2003
Earlier work this paper cites.
“Improved simulation of stabilizer circuits”
Scott Aaronson and Daniel Gottesman · 2004
Earlier work this paper cites.
“From classical to quantum dynamics at rokhsar–kivelson points”
C L Henley · 2004
Earlier work this paper cites.
“Topological order and conformal quantum critical points”
Eddy Ardonne, Paul Fendley, and Eduardo Fradkin · 2004
Earlier work this paper cites.
“Pyrochlore photons: The u ( 1 ) u(1) spin liquid in a s = 1 2 s=\frac{1}{2} three-dimensional frustrated magnet”
Michael Hermele, Matthew P. A. Fisher, and Leon Balents · 2004
Earlier work this paper cites.
“Universal quantum computation with ideal Clifford gates and noisy ancillas”
Sergey Bravyi and Alexei Kitaev · 2005
Earlier work this paper cites.
“From quantum mechanics to classical statistical physics: Generalized rokhsar–kivelson hamiltonians and the “stochastic matrix form” decomposition”
Claudio Castelnovo, Claudio Chamon, Christopher Mudry, and Pierre Pujol · 2005
Earlier work this paper cites.
“Typical entanglement of stabilizer states”
Graeme Smith and Debbie Leung · 2006
Earlier work this paper cites.
“Criticality, the area law, and the computational power of projected entangled pair states”
F. Verstraete, M. M. Wolf, D. Perez-Garcia, and J. I. Cirac · 2006
Earlier work this paper cites.
“Universality in three-dimensional ising spin glasses: A monte carlo study”
Helmut G. Katzgraber, Mathias Körner, and A. P. Young · 2006
Earlier work this paper cites.
“Anyons in an exactly solved model and beyond”
Alexei Kitaev · 2006
Earlier work this paper cites.
“Ice: A strongly correlated proton system”
A. H. Castro Neto, P. Pujol, and Eduardo Fradkin · 2006
Earlier work this paper cites.
“Zero-temperature kosterlitz–thouless transition in a two-dimensional quantum system”
Claudio Castelnovo, Claudio Chamon, Christopher Mudry, and Pierre Pujol · 2007
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“Entanglement in many-body systems”
Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral · 2008
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“Quantum topological phase transition at the microscopic level”
Claudio Castelnovo and Claudio Chamon · 2008
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“Quantum entanglement”
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki · 2009
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“Entanglement generation of clifford quantum cellular automata”
J. Gütschow · 2009
Cited alongside, same era.
“Colloquium: Area laws for the entanglement entropy”
J. Eisert, M. Cramer, and M. B. Plenio · 2010
Cited alongside, same era.
“Schur–weyl duality for the clifford group with applications: Property testing, a robust hudson theorem, and de finetti representations”
David Gross, Sepehr Nezami, and Michael Walter · 2021
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“Stabilizer rényi entropy”
Lorenzo Leone, Salvatore F. E. Oliviero, and Alioscia Hamma · 2022
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“Many-body quantum magic”
Zi-Wen Liu and Andreas Winter · 2022
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“Magic-state resource theory for the ground state of the transverse-field ising model”
Salvatore F. E. Oliviero, Lorenzo Leone, and Alioscia Hamma · 2022
Later among the works it cites.
“Measuring magic on a quantum processor”
Salvatore F. E. Oliviero, Lorenzo Leone, Alioscia Hamma, and Seth Lloyd · 2022
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“Magic state distillation from entangled states”
Ning Bao, ChunJun Cao, and Vincent Paul Su · 2022
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“Fractionalization and topological order”
C. Castelnovo, S. Trebst, and M. Troyer · 2010
Cited alongside, same era.
“Computational studies of quantum spin systems”
Anders W. Sandvik, Adolfo Avella, and Ferdinando Mancini · 2010
Cited alongside, same era.
“Quantum computation and quantum information”
Michael A. Nielsen and Isaac L. Chuang · 2012
Cited alongside, same era.
“Quantum computing and the entanglement frontier” (2012) arXiv:1203.5813
John Preskill · 2012
Cited alongside, same era.
“Magic-state distillation with low overhead”
Sergey Bravyi and Jeongwan Haah · 2012
Cited alongside, same era.
“Preparing projected entangled pair states on a quantum computer”
Martin Schwarz, Kristan Temme, and Frank Verstraete · 2012
Cited alongside, same era.
Later among the works it cites.
Jong Yeon Lee, Wenjie Ji, Zhen Bi, and Matthew P. A. Fisher · 2022
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“McSparse: Exact solutions of sparse maximum cut and sparse unconstrained binary quadratic optimization problems”
Jonas Charfreitag, Michael Jünger, Sven Mallach, and Petra Mutzel · 2022
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“Handbook for efficiently quantifying robustness of magic” (2023)
Hiroki Hamaguchi, Kou Hamada, and Nobuyuki Yoshioka · 2023
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“Nonstabilizerness via perfect pauli sampling of matrix product states”
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“Measuring nonstabilizerness via multifractal flatness”
Xhek Turkeshi, Marco Schirò, and Piotr Sierant · 2023
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Guo-Yi Zhu, Nathanan Tantivasadakarn, Ashvin Vishwanath, Simon Trebst, and Ruben Verresen · 2023
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“Topological fracton quantum phase transitions by tuning exact tensor network states”
Guo-Yi Zhu, Ji-Yao Chen, Peng Ye, and Simon Trebst · 2023
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M. Frau, P. S. Tarabunga, M. Collura, M. Dalmonte, and E. Tirrito · 2024
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“Quantifying nonstabilizerness through entanglement spectrum flatness”
Emanuele Tirrito, Poetri Sonya Tarabunga, Gugliemo Lami, Titas Chanda, Lorenzo Leone, Salvatore F. E. Oliviero, Marcello Dalmonte, Mario Collura, and Alioscia Hamma · 2024
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