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A Hadamard-free Clifford transformation is a circuit composed of quantum Phase (P), CZ, and CNOT gates.
Quantum complexity theory
Ethan Bernstein and Umesh Vazirani · 1993
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Mixed-state entanglement and quantum error correction
Charles H. Bennett, David P. DiVincenzo, John A. Smolin, and William K. Wootters · 1996
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Stabilizer codes and quantum error correction
Daniel Gottesman · 1997
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Parallel quantum computation and quantum codes
Cristopher Moore and Martin Nilsson · 2001
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac Chuang · 2002
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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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Computation at a distance
Samuel A. Kutin, David Petrie Moulton, and Lawren M. Smithline · 2007
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Randomized benchmarking of quantum gates
Emanuel Knill, Dietrich Leibfried, Rolf Reichle, Joe Britton, R. Brad Blakestad, John D. Jost, Chris Langer, Roee Ozeri, Signe Seidelin, and David J. Wineland · 2008
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Optimal synthesis of linear reversible circuits
Ketan N. Patel, Igor L. Markov, and John P. Hayes · 2008
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Scalable and robust randomized benchmarking of quantum processes
Easwar Magesan, Jay M. Gambetta, and Joseph Emerson · 2011
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IBM makes quantum computing available on IBM cloud to accelerate innovation
IBM Press Release · 2016
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Norbert M. Linke, Dmitri Maslov, Martin Roetteler, Shantanu Debnath, Caroline Figgatt, Kevin A. Landsman, Kenneth Wright, and Christopher Monroe · 2017
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Shorter gate sequences for quantum computing by mixing unitaries
Optimal space-depth trade-off of CNOT circuits in quantum logic synthesis
Jiaqing Jiang, Xiaoming Sun, Shang-Hua Teng, Bujiao Wu, Kewen Wu, and Jialin Zhang · 2020
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Graph-theoretic simplification of quantum circuits with the ZX-calculus
Ross Duncan, Aleks Kissinger, Simon Perdrix, and John Van De Wetering · 2020
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Reducing the depth of linear reversible quantum circuits
Timothee Goubault De Brugiere, Marc Baboulin, Benoît Valiron, Simon Martiel, and Cyril Allouche · 2021
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Hadamard-free circuits expose the structure of the Clifford group
Sergey Bravyi and Dmitri Maslov · 2021
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https://quantumai.google/ , https://quantum-computing.ibm.com/ , https://www.rigetti.com/
Google Quantum AI, IBM Quantum, Rigetti · 2022
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https://ionq.com/ , https://www.quantinuum.com/
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Earl Campbell · 2017
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Shadow tomography of quantum states
Scott Aaronson · 2018
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Shorter stabilizer circuits via Bruhat decomposition and quantum circuit transformations
Dmitri Maslov and Martin Roetteler · 2018
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IonQ, Quantinuum · 2022
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Depth optimization of CZ, CNOT, and Clifford circuits
Dmitri Maslov and Ben Zindorf · 2022
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