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Recent developments in classical simulation of quantum circuits make use of clever decompositions of chunks of magic states into sums of efficiently simulable stabiliser states.
Both Toffoli and controlled-NOT need little help to do universal quantum computation
Yaoyun Shi · 2002
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A simple proof that Toffoli and Hadamard are quantum universal
Dorit Aharonov · 2003
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Interacting quantum observables
Bob Coecke and Ross Duncan · 2008
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Interacting quantum observables: categorical algebra and diagrammatics
Bob Coecke and Ross Duncan · 2011
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The ZX-calculus is complete for stabilizer quantum mechanics
Miriam Backens · 2014
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Improved classical simulation of quantum circuits dominated by Clifford gates
Sergey Bravyi and David Gosset · 2016
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Trading classical and quantum computational resources
Sergey Bravyi, Graeme Smith, and John A Smolin · 2016
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Two complete axiomatisations of pure-state qubit quantum computing
Amar Hadzihasanovic, Kang Feng Ng, and Quanlong Wang · 2018
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A Complete Axiomatisation of the ZX-calculus for Clifford+T Quantum Mechanics
Emmanuel Jeandel, Simon Perdrix, and Renaud Vilmart · 2018
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Simulation of quantum circuits by low-rank stabilizer decompositions
Sergey Bravyi, Dan Browne, Padraic Calpin, Earl Campbell, David Gosset, and Mark Howard · 2019
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A Near-Minimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics
Renaud Vilmart · 2019
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Phase Gadget Synthesis for Shallow Circuits
Alexander Cowtan, Silas Dilkes, Ross Duncan, Will Simmons, and Seyon Sivarajah · 2020
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 number of non-Clifford gates in quantum circuits
Aleks Kissinger and John van de Wetering · 2020
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ZX-calculus for the working quantum computer scientist
John van de Wetering · 2020
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How to simulate quantum measurement without computing marginals
Sergey Bravyi, David Gosset, and Yinchen Liu · 2021
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Simulating quantum circuits with ZX-calculus reduced stabiliser decompositions, 2021
Aleks Kissinger and John van de Wetering · 2021
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Cited alongside, same era.
Improved upper bounds on the stabilizer rank of magic states
Hammam Qassim, Hakop Pashayan, and David Gosset · 2021
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