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To approximate arbitrary unitary transformations on one or more qubits, one must perform transformations which are outside of the Clifford group.
Matthew Amy (2018): Towards Large-scale Functional Verification of Universal Quantum Circuits · 1901
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Aleks Kissinger & John van de Wetering (2019): Reducing T-count with the ZX-calculus · 1903
Earlier work this paper cites.
Fang Zhang & Jianxin Chen (2019): Optimizing T gates in Clifford+T circuit as π / 4 \pi/4 rotations around Paulis · 1903
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Giulia Meuli, Mathias Soeken, Earl Campbell, Martin Roetteler & Giovanni De Micheli (2019): The Role of Multiplicative Complexity in Compiling Low T-count Oracle Circuits · 1908
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In Samson Abramsky, Cyril Gavoille, Claude Kirchner, Friedhelm Meyer auf der Heide & Paul G. Spirakis, editors: Automata, Languages and Programming
Ross Duncan & Simon Perdrix (2010): Rewriting Measurement-Based Quantum Computations with Generalised Flow · 2010
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IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Matthew Amy, Dmitri Maslov, Michele Mosca & Martin Roetteler (2013): A meet-in-the-middle algorithm for fast synthesis of depth-optimal quantum circuits · 2013
Cited alongside, same era.
Cody Jones (2013): Low-overhead constructions for the fault-tolerant Toffoli gate · 2013
Cited alongside, same era.
David Gosset, Vadym Kliuchnikov, Michele Mosca & Vincent Russo (2014): An Algorithm for the T-count · 2014
Cited alongside, same era.
Earl T. Campbell & Mark Howard (2017): A unified framework for magic state distillation and multi-qubit gate-synthesis with reduced resource cost · 2017
Cited alongside, same era.
Quantum Science and Technology
Luke E. Heyfron & Earl T. Campbell (2018): An efficient quantum compiler that reduces T count · 2018
Later among the works it cites.
IEEE Transactions on Information Theory
Dmitri Maslov & Martin Roetteler (2018): Shorter stabilizer circuits via Bruhat decomposition and quantum circuit transformations · 2018
Later among the works it cites.
IEEE Transactions on Information Theory
Matthew Amy & Michele Mosca (2019): T-count optimization and Reed-Muller codes · 2019
Closest in time.
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Matthew Amy, Dmitri Maslov & Michele Mosca (2014): Polynomial-Time T-Depth Optimization of Clifford+T Circuits Via Matroid Partitioning · 2042
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Matthew Amy, Jianxin Chen & Neil J. Ross (2018): A Finite Presentation of CNOT-Dihedral Operators · 2018
Cited alongside, same era.
https://www.mathstat.dal.ca/~selinger/quipper
Peter Selinger: Quipper
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