
Contents
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3.1 Introduction 3.1 Introduction
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3.2 Bits and qubits 3.2 Bits and qubits
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3.3 The no-cloning theorem 3.3 The no-cloning theorem
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3.4 Entanglement-assisted communication 3.4 Entanglement-assisted communication
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3.5 Quantum computers 3.5 Quantum computers
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3.6 What is quantum information? 3.6 What is quantum information?
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3.6.1 Quantum sources: how much 3.6.1 Quantum sources: how much
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3.6.2 Quantum sources: what 3.6.2 Quantum sources: what
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3.6.2.1 Moral 3.6.2.1 Moral
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3.6.3 An objection: Jozsa’s argument 3.6.3 An objection: Jozsa’s argument
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3.7 The worldliness of quantum information 3.7 The worldliness of quantum information
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3.7.1 Information and the physical 3.7.1 Information and the physical
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3.7.1.1 Information is Physical? 3.7.1.1 Information is Physical?
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3.7.1.2 Informational immaterialism 3.7.1.2 Informational immaterialism
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3.8 Summary 3.8 Summary
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3 3 Quantum Information Theory
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Published:April 2013
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Abstract
The approach to thinking about information developed in the previous chapter is turned towards the quantum theory. First, some of the characteristic ideas and applications of quantum information theory are presented, then the nature of quantum information itself is discussed. With the correct conception of Shannon information to hand, the dimension of generalisation which the quantum concept occupies is made clear. Quantum information is simply what is produced by a quantum information source. As in the classical case, a piece of information will be an abstract type (a sequence of quantum states), rather than a concrete thing or physical substance. This conception is defended from a number of potential objections which might be raised. With a clear grasp obtained of the relation between quantum information and the world, it proves short work to dissect the slogan `Information is Physical’ and dispatch the prospect of informational immaterialism.
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