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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Quantum Information Processing with Finite Resources: Mathematical Foundations

Quantum Information Processing with Finite Resources: Mathematical Foundations

Tomamichel, Marco

Paperback

Series: Springerbriefs in Mathematical Physics, Book 5

General ComputersPhysics

ISBN10: 3319218905
ISBN13: 9783319218908
Publisher: Springer Nature
Published: Oct 23 2015
Pages: 138
Weight: 0.48
Height: 0.32 Width: 6.14 Depth: 9.21
Language: English

This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible.

A strong emphasis is given to information measures that are essential for the study of devices of finite size, including Rényi entropies and smooth entropies. The presentation is self-contained and includes rigorous and concise proofs of the most important properties of these measures. The first chapters will introduce the formalism of quantum mechanics, with particular emphasis on norms and metrics for quantum states. This is necessary to explore quantum generalizations of Rényi divergence and conditional entropy, information measures that lie at the core of information theory. The smooth entropy framework is discussed next and provides a natural means to lift many arguments from informationtheory to the quantum setting.

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