Abstract
In conventional logic CAD and in equal measure also in quantum logic CAD, it is vital to ensure the correctness of the transformations and mappings throughout the design flow.
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Note that only for QMDDs this is even true if the descriptions are not perfectly equal, i.e. they lead to identical transformation matrices, but are equal up to a global phase, i.e. the matrices are equal up to a multiplicative factor \(e^{i\theta }\). All other decision diagrams reviewed in Chap. 3 require much more effort to determine equivalence up to global phase—a phenomenon which frequently occurs in quantum logic design.
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Niemann, P., Wille, R. (2017). Correctness of Multiple-Valued Implementations. In: Compact Representations for the Design of Quantum Logic. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-63724-2_8
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DOI: https://doi.org/10.1007/978-3-319-63724-2_8
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