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We show that any pseudoentangled state ensemble with a gap of $t$ bits of entropy requires $\Omega(t)$ non-Clifford gates to prepare.
Both Toffoli and Controlled-NOT need little help to do universal quantum computation, 2002
Yaoyun Shi · 2002
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Quantum Circuits That Can Be Simulated Classically in Polynomial Time
Leslie G. Valiant · 2002
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Scott Aaronson and Daniel Gottesman · 2004
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Entanglement in the stabilizer formalism, 2004
David Fattal, Toby S. Cubitt, Yoshihisa Yamamoto, Sergey Bravyi, and Isaac L. Chuang · 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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A sharp continuity estimate for the von Neumann entropy
Koenraad M. R. Audenaert · 2007
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Scott Aaronson and Daniel Gottesman · 2008
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Yuval Ishai, Eyal Kushilevitz, Rafail Ostrovsky, and Amit Sahai · 2008
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Improved Classical Simulation of Quantum Circuits Dominated by Clifford Gates
Sergey Bravyi and David Gosset · 2016
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Ashley Montanaro · 2017
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Sergey Bravyi, Dan Browne, Padraic Calpin, Earl Campbell, David Gosset, and Mark Howard · 2019
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Patrick Rall, Daniel Liang, Jeremy Cook, and William Kretschmer · 2019
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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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The Exact Complexity of Pseudorandom Functions and the Black-Box Natural Proof Barrier for Bootstrapping Results in Computational Complexity
Zhiyuan Fan, Jiatu Li, and Tianqi Yang · 2022
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Learning Quantum Circuits of Some T T Gates
Ching-Yi Lai and Hao-Chung Cheng · 2022
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Sabee Grewal, Vishnu Iyer, William Kretschmer, and Daniel Liang · 2023
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Improved Stabilizer Estimation via Bell Difference Sampling, 2023
Sabee Grewal, Vishnu Iyer, William Kretschmer, and Daniel Liang · 2023
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Low-Stabilizer-Complexity Quantum States Are Not Pseudorandom
Sabee Grewal, Vishnu Iyer, William Kretschmer, and Daniel Liang · 2023
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Pseudorandomness from subset states, 2023
Tudor Giurgica-Tiron and Adam Bouland · 2023
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Lorenzo Leone, Salvatore F. E. Oliviero, Seth Lloyd, and Alioscia Hamma · 2022
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Efficient Tomography of Non-Interacting-Fermion States
Scott Aaronson and Sabee Grewal · 2023
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Nai-Hui Chia, Ching-Yi Lai, and Han-Hsuan Lin · 2023
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Sabee Grewal, Vishnu Iyer, William Kretschmer, and Daniel Liang · 2023
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Dominik Hangleiter and Michael J. Gullans · 2023
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Learning t-doped stabilizer states, 2023
Lorenzo Leone, Salvatore F. E. Oliviero, and Alioscia Hamma · 2023
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Quantum Pseudoentanglement
Scott Aaronson, Adam Bouland, Bill Fefferman, Soumik Ghosh, Umesh Vazirani, Chenyi Zhang, and Zixin Zhou · 2024
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Andi Gu, Salvatore F. E. Oliviero, and Lorenzo Leone · 2024
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Fermi Ma · 2024
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