Abstract
In this chapter, we demonstrate the importance of compact representations and their applicability for the synthesis of quantum circuits.
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Notes
- 1.
As the design of reversible circuits does not exclusively aim for a realization on quantum devices, the more generic notion of (circuit) line is used for what is represented by a qubit.
- 2.
The term Clifford group for this set of operations has been introduced by Bolt et al. [BRW61].
- 3.
Note again that the controlled Z gates applied e.g. for eliminating phase shifts are eventually realized by a Hadamard–CNOT–Hadamard cascade.
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Niemann, P., Wille, R. (2017). Synthesis of Quantum Circuits. In: Compact Representations for the Design of Quantum Logic. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-63724-2_7
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DOI: https://doi.org/10.1007/978-3-319-63724-2_7
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-63724-2
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