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Quantum computations are typically compiled into a circuit of basic quantum gates.
The complexity of theorem-proving procedures
Stephen A. Cook · 1971
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An algorithm for subgraph isomorphism
J. R. Ullmann · 1976
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A New Automatic Logic Interconnection Verification System for VLSI Design
T. Watanabe, Makoto Endo, and N. Miyahara · 1983
Earlier work this paper cites.
A Technology Independent Block Extraction Algorithm
F. Luellau, T. Hoepken, and E. Barke · 1984
Earlier work this paper cites.
LOGEX-an automatic logic extractor from transistor to gate level for CMOS technology
M. Boehner · 1988
Earlier work this paper cites.
SubGemini: Identifying SubCircuits using a Fast Subgraph Isomorphism Algorithm
M. Ohlrich, C. Ebeling, E. Ginting, and L. Sather · 1993
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A fast quantum mechanical algorithm for database search
Lov K. Grover · 1996
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W. Shor · 1997
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2000
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Transformation rules for designing CNOT-based quantum circuits
K. Iwama, Y. Kambayashi, and S. Yamashita · 2002
Earlier work this paper cites.
Identity check is qma-complete
Dominik Janzing, Pawel Wocjan, and Thomas Beth · 2003
Cited alongside, same era.
Simplification of Toffoli networks via templates
D. Maslov, G. W. Dueck, and D. M. Miller · 2003
Cited alongside, same era.
A transformation based algorithm for reversible logic synthesis
D. M. Miller, D. Maslov, and G. W. Dueck · 2003
Cited alongside, same era.
Recognizing small-circuit structure in two-qubit operators
Vivek V. Shende, Stephen S. Bullock, and Igor L. Markov · 2004
Cited alongside, same era.
Synthesis of Fredkin-Toffoli reversible networks
D. Maslov, G. W. Dueck, and D. M. Miller · 2005
Cited alongside, same era.
Data structures and algorithms for simplifying reversible circuits
Aditya K. Prasad, Vivek V. Shende, Igor L. Markov, John P. Hayes, and Ketan N. Patel · 2006
Cited alongside, same era.
Exact template matching using Boolean satisfiability
N. Abdessaied, M. Soeken, R. Wille, and R. Drechsler · 2013
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Optimization of Clifford Circuits
Vadym Kliuchnikov and Dmitri Maslov · 2013
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An algorithm for quantum template matching
Md. Mazder Rahman, Gerhard W. Dueck, and Joseph D. Horton · 2014
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Quantum circuits for isometries
Raban Iten, Roger Colbeck, Ivan Kukuljan, Jonathan Home, and Matthias Christandl · 2016
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UniversalQCompiler: a quantum compiler from arbitrary isometries to elementary gates, 2018
Luca Mondada · 2018
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Automated optimization of large quantum circuits with continuous parameters
Yunseong Nam, Neil J. Ross, Yuan Su, Andrew M. Childs, and Dmitri Maslov · 2018
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Data structures and algorithms for simplifying reversible circuits
Aditya K. Prasad, Vivek V. Shende, Igor L. Markov, John P. Hayes, and Ketan N. Patel · 2006
Cited alongside, same era.
Techniques for the synthesis of reversible Toffoli networks
D. Maslov, G. W. Dueck, and D. M. Miller · 2007
Cited alongside, same era.
Quantum circuit simplification and level compaction
D. Maslov, G. W. Dueck, D. M. Miller, and C. Negrevergne · 2008
Cited alongside, same era.
Quantum algorithm for linear systems of equations
Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
Cited alongside, same era.
Private communication
Robin Kothari
Cited in the paper.
Quantum computing in the NISQ era and beyond
John Preskill · 2018
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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 · 2019
Closest in time.
Introduction to UniversalQCompiler
Raban Iten, Oliver Reardon-Smith, Luca Mondada, Ethan Redmond, Ravjot Singh Kohli, and Roger Colbeck · 2019
Closest in time.