Abstract
In this chapter, we mathematically formalize the notion of computation by circuit models. We first show the classical circuit model, and then, we extend it to the quantum circuit model. We also study fundamental properties of the quantum circuits.
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Notes
- 1.
We use the symbol \(\oplus \) to denote the exclusive OR in accord with convention of theoretical computer science, but note that the symbol \(\oplus \) is also used to denote the direct sum of linear spaces and matrices in this book.
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Hayashi, M., Ishizaka, S., Kawachi, A., Kimura, G., Ogawa, T. (2015). Foundations on Quantum Computing. In: Introduction to Quantum Information Science. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43502-1_3
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DOI: https://doi.org/10.1007/978-3-662-43502-1_3
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