Published In
Quantum Information & Computation
Document Type
Pre-Print
Publication Date
12-1-2024
Subjects
Quantum physics -- Mathematical models
Abstract
This paper extends the decomposition from the group theory based methods of Sasao and Saraivanov to design binary input multivalued output quantum cascades realized with optical NOT, SWAP, and Fredkin Gates. We present this method for 3, 5, and 7 valued outputs, but in general it can be used for odd prime valued outputs. The method can be extended to realize hybrid functions with different valued outputs. A class of local transformations is presented that can simplify the final cascade circuits. Using these simplifying transformations, we present an upper bound on the maximum number of gates in an arbitrary -variable input and -valued output function.
Rights
© Copyright the author(s) 2025
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DOI
10.48550/arXiv.2410.18367
Persistent Identifier
https://archives.pdx.edu/ds/psu/43999
Citation Details
Agarwal, I., Saraivanov, M., & Perkowski, M. (2024). Synthesis of Binary-Input Multi-Valued Output Optical Cascades for Reversible and Quantum Technologies. arXiv preprint arXiv:2410.18367.
Description
This is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published as: Agarwal, I., Saraivanov, M., & Perkowski, M. (2024). Synthesis of Binary-Input Multi-Valued Output Optical Cascades for Reversible and Quantum Technologies. arXiv preprint arXiv:2410.18367.