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Foundations of Quantum Programming, 2nd Edition
book

Foundations of Quantum Programming, 2nd Edition

by Mingsheng Ying
April 2024
Intermediate to advanced content levelIntermediate to advanced
400 pages
21h 1m
English
Morgan Kaufmann
Content preview from Foundations of Quantum Programming, 2nd Edition

Appendix A: Omitted proofs in the main text

A.1 Omitted proofs in Chapter 5

Several lemmas about the domains of partial density operators and quantum operations were presented without proofs in Section 5.3.2. For completeness, we give their proofs in this section.

Spectral decomposition: The proof of Lemma 5.2 requires the notion of square root of a positive operator, which in turn requires the spectral decomposition theorem for Hermitian operators in an infinite-dimensional Hilbert space HImage. Recall from Definition 2.16 that an operator ML(H)Image is Hermitian ...

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Publisher Resources

ISBN: 9780443159435