Abstract
This chapter motivates the study of finite resource quantum information theory and the mathematical framework that is required to do so. We will present a motivating example and outline the content of the book.
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The topic has also been reviewed recently by Tan [151].
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Notwithstanding the historical development, we follow the established tradition and use Shannon entropy to refer to entropy. We use von Neumann entropy to refer to its quantum generalization.
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The smoothing approach in the classical setting was first formally discussed in [141]. A detailed analysis of one-shot source compression, including quantum side information, can be found in [138].
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Tomamichel, M. (2016). Introduction. In: Quantum Information Processing with Finite Resources. SpringerBriefs in Mathematical Physics, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-21891-5_1
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DOI: https://doi.org/10.1007/978-3-319-21891-5_1
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-21890-8
Online ISBN: 978-3-319-21891-5
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