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Magic states are key ingredients in schemes to realize universal fault-tolerant quantum computation.
Über abbildung von mannigfaltigkeiten
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Good quantum error-correcting codes exist
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Symplectic geometry and topology
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Entropy and Wigner functions
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A one-way quantum computer
Raussendorf , R. & Briegel, H. J · 2001
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Quantum computation and the localization of modular functors
Freedman, M. H · 2001
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Rényi-wehrl entropies as measures of localization in phase space
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Topological quantum memory
Dennis, E., Kitaev, A., Landahl, A. & Preskill, J · 2002
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Measurement-based quantum computation on cluster states
Raussendorf, R., Browne, D. E. & Briegel, H. J · 2003
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Reversible transformations from pure to mixed states and the unique measure of information
Horodecki, M., Horodecki, P. & Oppenheim, J · 2003
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Quantum systems with finite hilbert space
Vourdas, A · 2004
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Negativity of the Wigner function as an indicator of non-classicality
Kenfack, A. & Życzkowski, K · 2004
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Quantum systems with finite hilbert space
Vourdas, A · 2004
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Universal quantum computation with ideal clifford gates and noisy ancillas
Bravyi , S. & Kitaev, A · 2005
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A structure theorem for generalized-noncontextual ontological models (2020)
Schmid, D., Selby, J. H., Pusey, M. F. & Spekkens, R. W · 2005
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Quantum computing with realistically noisy devices
Knill, E · 2005
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Symmetric informationally complete–positive operator valued measures and the extended clifford group
Appleby, D. M · 2005
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Security of Quantum Key Distribution
Renner, R · 2005
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Hudson’s theorem for finite-dimensional quantum systems
Gross, D · 2006
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Geometry of Quantum States: An Introduction to Quantum Entanglement (Cambridge University Press, 2006)
Bengtsson, I. & Życzkowski, K · 2006
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On weyl-covariant channels (2006)
Fukuda, M. & Holevo, A. S · 2006
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Hudson’s theorem for finite-dimensional quantum systems
Gross, D · 2006
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Fault-tolerant quantum computation with high threshold in two dimensions
Raussendorf, R. & Harrington, J · 2007
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One-and-a-half quantum de finetti theorems
Christandl, M., König, R., Mitchison, G. & Renner, R · 2007
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Fault-tolerant quantum computation against biased noise
Aliferis, P. & Preskill, J · 2008
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Frame representations of quantum mechanics and the necessity of negativity in quasi-probability representations
Ferrie, C. & Emerson, J · 2008
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Restrictions on transversal encoded quantum gate sets
Eastin, B. & Knill, E · 2009
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Catalysis and activation of magic states in fault-tolerant architectures
Campbell, E. T · 2011
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Inequalities: Theory of Majorization and Its Applications (Springer, 2011)
Marshall, A. W., Olkin, I. & Arnold, B. C · 2011
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Normal form for single-qutrit clifford+ t t operators and synthesis of single-qutrit gates
Prakash, S., Jain, A., Kapur, B. & Seth, S · 2018
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Quantification and manipulation of magic states
Ahmadi, M., Dang, H. B., Gour, G. & Sanders, B. C · 2018
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Practical quantum error mitigation for near-future applications
Endo, S., Benjamin, S. C. & Li, Y · 2018
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Computation of molecular spectra on a quantum processor with an error-resilient algorithm
Colless, J. I. et al · 2018
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Quantum computation with universal error mitigation on superconducting quantum processor
Song, C. et al · 2018
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Encoding electronic spectra in quantum circuits with linear t complexity
Babbush, R. et al · 2018
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Statistical Mechanics (Elsevier, 2011)
Pathria, R. K. & Beale, P. D · 2011
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The thermodynamic meaning of negative entropy
Rio, L. d., Å · 2011
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Inequalities: Theory of Majorization and Its Applications (Springer, 2011)
Marshall, A. W., Olkin, I. & Arnold, B. C · 2011
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Magic-state distillation with low overhead
Bravyi, S. & Haah, J · 2012
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Magic-state distillation in all prime dimensions using quantum reed-muller codes
Campbell, E. T., Anwar, H. & Browne, D. E · 2012
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Qutrit magic state distillation
Anwar, H., Campbell, E. T. & Browne, D. E · 2012
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Gour, G., Jennings, D., Buscemi, F., Duan, R. & Marvian, I · 2018
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Excluding joint probabilities from quantum theory
Allahverdyan, A. E. & Danageozian, A · 2018
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Quasiprobability behind the out-of-time-ordered correlator
Yunger Halpern, N., Swingle, B. & Dressel, J · 2018
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Quantum fluctuation theorems, contextuality, and work quasiprobabilities
Lostaglio, M · 2018
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The Theory of Quantum Information (Cambridge University Press, 2018)
Watrous, J · 2018
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Magic State Distillation: Not as Costly as You Think
Litinski, D · 2019
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Krishna, A. & Tillich, J.-P · 2019
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Fault-tolerant magic state preparation with flag qubits
Chamberland, C. & Cross, A. W · 2019
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Resource optimized quantum architectures for surface code implementations of magic-state distillation
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Repetition cat qubits for fault-tolerant quantum computation
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Low overhead quantum computation using lattice surgery (2019)
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Pieceable fault tolerant conversion between 5-qubit code and 7-CSS code
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Concatenated pieceable fault-tolerant scheme for universal quantum computation
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Magic state distillation with the ternary golay code
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Very low overhead fault-tolerant magic state preparation using redundant ancilla encoding and flag qubits
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Characterization of an operational quantum resource in a critical many-body system
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Hidden variable model for universal quantum computation with magic states on qubits
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Quantum advantage in postselected metrology
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Quasiprobability distribution for heat fluctuations in the quantum regime
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Efficiently computable bounds for magic state distillation
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Qutrit and ququint magic states
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