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Non-stabilizerness - commonly known as magic - measures the extent to which a quantum state deviates from stabilizer states and is a fundamental resource for achieving universal quantum computation.
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Daniel Gottesman · 1997
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Daniel Gottesman · 1998
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Pasquale Calabrese and John Cardy · 2004
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“Improved simulation of stabilizer circuits”
Scott Aaronson and Daniel Gottesman · 2004
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“Universal quantum computation with ideal Clifford gates and noisy ancillas”
Sergey Bravyi and Alexei Kitaev · 2005
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“Entanglement spectrum and entanglement thermodynamics of quantum hall bilayers at ν = 1 \nu=1 ”
John Schliemann · 2011
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“Logarithmic terms in entanglement entropies of 2d quantum critical points and shannon entropies of spin chains”
Michael P. Zaletel, Jens H. Bardarson, and Joel E. Moore · 2011
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Sergei V. Isakov, Matthew B. Hastings, and Roger G. Melko · 2011
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“Quantum computation and quantum information”
Michael A. Nielsen and Isaac L. Chuang · 2012
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“Magic-state distillation with low overhead”
Sergey Bravyi and Jeongwan Haah · 2012
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“Entanglement versus mutual information in quantum spin chains”
Jaegon Um, Hyunggyu Park, and Haye Hinrichsen · 2012
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“Negative quasi-probability as a resource for quantum computation”
Victor Veitch, Christopher Ferrie, David Gross, and Joseph Emerson · 2012
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“Positive wigner functions render classical simulation of quantum computation efficient”
A. Mari and J. Eisert · 2012
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F. C. Alcaraz and M. A. Rajabpour · 2013
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“Shannon and rényi mutual information in quantum critical spin chains”
Jean-Marie Stéphan · 2014
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“Universal behavior of the shannon and rényi mutual information of quantum critical chains”
“Phase-space-simulation method for quantum computation with magic states on qubits”
Robert Raussendorf, Juani Bermejo-Vega, Emily Tyhurst, Cihan Okay, and Michael Zurel · 2020
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“Lower bounds on the non-clifford resources for quantum computations”
Michael Beverland, Earl Campbell, Mark Howard, and Vadym Kliuchnikov · 2020
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“Conformal field theories are magical”
Christopher David White, ChunJun Cao, and Brian Swingle · 2021
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“Quantum criticality in many-body parafermion chains”
Ville Lahtinen, Teresia Mansson, and Eddy Ardonne · 2021
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“Matrix product states and projected entangled pair states: Concepts, symmetries, theorems”
J. Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete · 2021
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“Magic-state resource theory for the ground state of the transverse-field ising model”
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F. C. Alcaraz and M. A. Rajabpour · 2014
Cited alongside, same era.
“The resource theory of stabilizer quantum computation”
Victor Veitch, S A Hamed Mousavian, Daniel Gottesman, and Joseph Emerson · 2014
Cited alongside, same era.
“Unconstrained tree tensor network: An adaptive gauge picture for enhanced performance”
M. Gerster, P. Silvi, M. Rizzi, R. Fazio, T. Calarco, and S. Montangero · 2014
Cited alongside, same era.
“Contextuality supplies the ‘magic’ for quantum computation”
Mark Howard, Joel Wallman, Victor Veitch, and Joseph Emerson · 2014
Cited alongside, same era.
“Generalized mutual information of quantum critical chains”
F. C. Alcaraz and M. A. Rajabpour · 2015
Cited alongside, same era.
“Estimating outcome probabilities of quantum circuits using quasiprobabilities”
Hakop Pashayan, Joel J. Wallman, and Stephen D. Bartlett · 2015
Cited alongside, same era.
“Wigner function negativity and contextuality in quantum computation on rebits”
Nicolas Delfosse, Philippe Allard Guerin, Jacob Bian, and Robert Raussendorf · 2015
Cited alongside, same era.
Salvatore F. E. Oliviero, Lorenzo Leone, and Alioscia Hamma · 2022
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“Stabilizer rényi entropy”
Lorenzo Leone, Salvatore F. E. Oliviero, and Alioscia Hamma · 2022
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“Mana and thermalization: Probing the feasibility of near-clifford hamiltonian simulation”
Troy J. Sewell and Christopher David White · 2022
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“Measuring rényi entanglement entropy with high efficiency and precision in quantum monte carlo simulations”
Jiarui Zhao, Bin-Bin Chen, Yan-Cheng Wang, Zheng Yan, Meng Cheng, and Zi Yang Meng · 2022
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“Probing chaos by magic monotones”
Kanato Goto, Tomoki Nosaka, and Masahiro Nozaki · 2022
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“The ITensor Software Library for Tensor Network Calculations”
Matthew Fishman, Steven R. White, and E. Miles Stoudenmire · 2022
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“Many-body quantum magic”
Zi-Wen Liu and Andreas Winter · 2022
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“Quantifying nonstabilizerness of matrix product states”
Tobias Haug and Lorenzo Piroli · 2023
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“Many-body magic via pauli-markov chains—from criticality to gauge theories”
Poetri Sonya Tarabunga, Emanuele Tirrito, Titas Chanda, and Marcello Dalmonte · 2023
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“Measuring nonstabilizerness via multifractal flatness”
Xhek Turkeshi, Marco Schirò, and Piotr Sierant · 2023
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Tobias Haug and Lorenzo Piroli · 2023
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Guglielmo Lami and Mario Collura · 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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“Magic in generalized rokhsar-kivelson wavefunctions”
Poetri Sonya Tarabunga and Claudio Castelnovo · 2024
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“Exact solution of long-range stabilizer rényi entropy in the dual-unitary xxz model” (2024)
Jordi Arnau Montañà López and Pavel Kos · 2024
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Lorenzo Leone and Lennart Bittel · 2024
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“Magic of quantum hypergraph states”
Junjie Chen, Yuxuan Yan, and You Zhou · 2024
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