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BananaworldQuantum Mechanics for Primates$
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Jeffrey Bub

Print publication date: 2016

Print ISBN-13: 9780198718536

Published to Oxford Scholarship Online: March 2016

DOI: 10.1093/acprof:oso/9780198718536.001.0001

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Quantum Feats

Quantum Feats

Chapter:
(p.160) 8 Quantum Feats
Source:
Bananaworld
Author(s):

Jeffrey Bub

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198718536.003.0008

Rather than achieving a speedup over classical computers by performing multiple computations simultaneously as is often claimed, a quantum computer can compute a solution to a problem in fewer steps than a classical computer, because it can do so without working out the answers to questions that are not asked, but that a classical computer needs to answer to solve the problem. This is illustrated by going through the simplest quantum algorithm, proposed by David Deutsch. Simon’s algorithm for finding the period of a function, and Shor’s factorization algorithm, the “killer app” for quantum computation, work in a similar way. The chapter also discusses quantum teleportation and superdense coding, an example of entanglement-assisted communication that follows from the possibility of quantum teleportation.

Keywords:   quantum parallelism, quantum speedup, Deutsch’s algorithm, Simon’s algorithm, Shor’s factorization algorithm, complexity classes, quantum teleportation, superdense coding

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