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We introduce magic measures to quantify the nonstabilizerness of multiqubit quantum gates and establish lower bounds on the $T$ count for fault-tolerant quantum computation.
D. Gottesman, Stabilizer Codes and Quantum Error Correction , Ph.D. thesis, California Institute of Technology (1997)
1997
Earlier work this paper cites.
D. Gottesman, The heisenberg representation of quantum computers, arXiv preprint quant-ph/9807006 (1998)
1998
Earlier work this paper cites.
D. Gottesman and I. L. Chuang, Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations, Nature 402
1999
Earlier work this paper cites.
X. Zhou, D. W. Leung, and I. L. Chuang, Methodology for quantum logic gate construction, Physical Review A 62
2000
Earlier work this paper cites.
M. A. Nielsen and I. Chuang, Quantum computation and quantum information, American Association of Physics Teachers (2002)
2002
Earlier work this paper cites.
S. Aaronson and D. Gottesman, Improved simulation of stabilizer circuits, Physical Review A 70
2004
Earlier work this paper cites.
D. S. Dummit and R. M. Foote, Abstract algebra , Vol. 3 (Wiley Hoboken, 2004)
2004
Earlier work this paper cites.
S. Bravyi and A. Kitaev, Universal quantum computation with ideal clifford gates and noisy ancillas, Physical Review A 71
2005
Earlier work this paper cites.
C. Dawson and M. Nielsen, The solovay-kitaev algorithm, Quantum Information and Computation 6
2006
Earlier work this paper cites.
D. Gross, Hudson’s theorem for finite-dimensional quantum systems, Journal of mathematical physics 47
2006
Earlier work this paper cites.
S. Bravyi and J. Haah, Magic-state distillation with low overhead, Physical Review A 86
2012
Earlier work this paper cites.
A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: Towards practical large-scale quantum computation, Physical Review A 86
2012
Earlier work this paper cites.
C. Jones, Low-overhead constructions for the fault-tolerant toffoli gate, Physical Review A 87
2013
Earlier work this paper cites.
B. Giles and P. Selinger, Exact synthesis of multiqubit clifford+ t circuits, Physical Review A 87
2013
Earlier work this paper cites.
D. Gosset, V. Kliuchnikov, M. Mosca, and V. Russo, An algorithm for the T T count, Quantum Information & Computation 14
2014
Earlier work this paper cites.
V. Veitch, S. A. H. Mousavian, D. Gottesman, and J. Emerson, The resource theory of stabilizer quantum computation, New Journal of Physics 16
2014
Earlier work this paper cites.
2014
Earlier work this paper cites.
P. Selinger, Efficient clifford+ t approximation of single-qubit operators, Quantum Information & Computation 15
2015
Cited alongside, same era.
S. Bravyi and D. Gosset, Improved classical simulation of quantum circuits dominated by clifford gates, Physical review letters 116
2016
Cited alongside, same era.
S. Bravyi, G. Smith, and J. A. Smolin, Trading classical and quantum computational resources, Physical Review X 6
2016
Cited alongside, same era.
N. J. Ross and P. Selinger, Optimal ancilla-free clifford+ t approximation of z-rotations., Quantum Inf. Comput. 16
2016
Cited alongside, same era.
E. T. Campbell, B. M. Terhal, and C. Vuillot, Review Roads towards fault-tolerant universal quantum computation, Nature Publishing Group 549
2017
Cited alongside, same era.
J. R. Seddon and E. T. Campbell, Quantifying magic for multi-qubit operations, Proceedings of the Royal Society A 475
2019
Later among the works it cites.
X. Wang and M. M. Wilde, Resource theory of asymmetric distinguishability for quantum channels, Physical Review Research 1
2019
Later among the works it cites.
2019
Later among the works it cites.
2020
Later among the works it cites.
X. Wang, M. M. Wilde, and Y. Su, Efficiently Computable Bounds for Magic State Distillation, Physical Review Letters 124
2020
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J. O’Gorman and E. T. Campbell, Quantum computation with realistic magic-state factories, Physical Review A 95
2017
Cited alongside, same era.
M. Howard and E. Campbell, Application of a resource theory for magic states to fault-tolerant quantum computing, Physical review letters 118
2017
Cited alongside, same era.
M. B. Hastings and J. Haah, Distillation with Sublogarithmic Overhead, Physical Review Letters 120
2018
Cited alongside, same era.
L. E. Heyfron and E. T. Campbell, An efficient quantum compiler that reduces t count, Quantum Science and Technology 4
2018
Cited alongside, same era.
B. Regula, Convex geometry of quantum resource quantification, Journal of Physics A: Mathematical and Theoretical 51
2018
Cited alongside, same era.
M. G. Díaz, K. Fang, X. Wang, M. Rosati, M. Skotiniotis, J. Calsamiglia, and A. Winter, Using and reusing coherence to realize quantum processes, Quantum 2
2018
Cited alongside, same era.
D. Rosset, F. Buscemi, and Y.-C. Liang, Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions, Physical Review X 8
2018
Cited alongside, same era.
Later among the works it cites.
K. Fang and Z.-W. Liu, No-Go Theorems for Quantum Resource Purification, Physical Review Letters 125
2020
Later among the works it cites.
B. Regula, K. Bu, R. Takagi, and Z.-W. Liu, Benchmarking one-shot distillation in general quantum resource theories, Physical Review A 101
2020
Later among the works it cites.
M. E. Beverland, E. Campbell, M. Howard, and V. Kliuchnikov, Lower bounds on the non-clifford resources for quantum computations, Quantum Science and Technology 10.1088/2058-9565/ab8963 (2020)
2020
Later among the works it cites.
2020
Later among the works it cites.
L. Li, K. Bu, and Z.-w. Liu, Quantifying the resource content of quantum channels: An operational approach, Physical Review A 101
2020
Later among the works it cites.
J. R. Seddon, B. Regula, H. Pashayan, Y. Ouyang, and E. T. Campbell, Quantifying quantum speedups: Improved classical simulation from tighter magic monotones, PRX Quantum 2
2021
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B. Regula and R. Takagi, Fundamental limitations on distillation of quantum channel resources, Nature Communications 12
2021
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2022
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2022
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2022
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X. Wang and M. M. Wilde, Exact entanglement cost of quantum states and channels under positive-partial-transpose-preserving operations, Physical Review A 107
2023
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