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Quantum Proofs provides an overview of many of the known results
concerning quantum proofs, computational models based on this
concept, and properties of the complexity classes they define. In
particular, it discusses non-interactive proofs and the complexity
class QMA, single-prover quantum interactive proof systems and the
complexity class QIP, statistical zero-knowledge quantum
interactive proof systems and the complexity class QSZK, and
multiprover interactive proof systems and the complexity classes
QMIP, QMIP*, and MIP*. This book is mainly intended for
non-specialists having a basic background in complexity theory and
quantum information. A typical reader may be a student or
researcher in either area desiring to learn about the fundamentals
of the (actively developing) theory of quantum interactive proofs.
This book offers an accessible and engaging introduction to quantum
cryptography, assuming no prior knowledge in quantum computing.
Essential background theory and mathematical techniques are
introduced and applied in the analysis and design of quantum
cryptographic protocols. The title explores several important
applications such as quantum key distribution, quantum money, and
delegated quantum computation, while also serving as a
self-contained introduction to the field of quantum computing. With
frequent illustrations and simple examples relevant to quantum
cryptography, this title focuses on building intuition and
challenges readers to understand the basis of cryptographic
security. Frequent worked examples and mid-chapter exercises allow
readers to extend their understanding, and in-text quizzes,
end-of-chapter homework problems, and recommended further reading
reinforce and broaden understanding. Online resources available to
instructors include interactive computational problems in Julia,
videos, lecture slides, and a fully worked solutions manual.
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R398
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