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Introduction to Quantum Information Science$
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Vlatko Vedral

Print publication date: 2006

Print ISBN-13: 9780199215706

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199215706.001.0001

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Quantum communication with entanglement

Quantum communication with entanglement

(p.44) 4 Quantum communication with entanglement
Introduction to Quantum Information Science

Vlatko Vedral

Oxford University Press

This chapter discusses some of the ways in which quantum entanglement can be used for quantum communication. Suppose Alice and Bob share an entangled state: they can use it for dense coding, in which Alice sends Bob just one qubit of an entangled pair, which delivers two bits of classical information. Alice and Bob can also use an entangled state for teleportation, in which a qubit in a unknown quantum state is teleported from Alice to Bob when Alice sends Bob two classical bits. Entanglement swapping is an example of a tripartite communication protocol. If Alice and Bob share entanglement, and Bob and Charlie share entanglement, entanglement swapping can be used to entangle Alice and Charlie. Even if Alice and Bob are entangled, Alice cannot communicate with Bob without sending him classical bits or qubits, which prevents Alice and Bob from breaking the laws of relativity. This chapter also discusses Pauli matrices and the extension of Hilbert spaces.

Keywords:   quantum entanglement, quantum communication, dense coding, qubits, teleportation, entanglement swapping, Hilbert spaces, Pauli matrices, classical information

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