Transcription of The Theory of Quantum Information
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The Theory of Quantum Information
The Theory of Quantum InformationJohn WatrousInstitute for Quantum ComputingUniversity of Waterloo 2018 John WatrousTo be published by Cambridge University note that this is a draft, pre-publication copy only. The final, published version of thisbook will be available for purchase through Cambridge University Press and other standarddistribution channels. This draft copy is made available for personal use only and must not besold or Complex Euclidean Linear Operator decompositions and , convexity, and probability Analysis and Probability Semidefinite references572 Basic notions of Quantum and Registers and classical state Quantum states of Reductions and purifications of Quantum Definitions and basic notions concerning Representations and characterizations of Examples of channels and other Extremal Two equivalent definitions of Basic notions concerning Extremal m
3.3.2 The completely bounded trace norm 166 3.3.3 Distances between channels 175 3.3.4 Characterizations of the completely bounded trace norm 185 3.4 Exercises 197 ... and fundamental notions such as states and measurements of systems are represented in linear-algebraic terms that refer to these spaces. De nition of complex Euclidean spaces
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