Ensemble quantum computing by NMR spectroscopy: product operators, pseudopure states, and an implementation of quantum error correction

Timothy F. Havel; Shyamal S. Somaroo; David G. Cory

doi:10.1117/12.312634

6 July 1998 Ensemble quantum computing by NMR spectroscopy: product operators, pseudopure states, and an implementation of quantum error correction

Timothy F. Havel, Shyamal S. Somaroo, David G. Cory

Author Affiliations +

Proceedings Volume 3385, Photonic Quantum Computing II; (1998) https://doi.org/10.1117/12.312634
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

Quantum computers are able to operate on coherent superpositions of states, and to isolate a single global property of the set of computed quantities via interference. In principle, this permits them to solve certain problems exponentially faster thana classical computer, but not one has yet succeeded in implementing a true quantum computer on more than two quantum bits. Recently, however, it has been found that an ensemble of independent and identical quantum computers can perform mots of the same feats than a single quantum computer could, while at the same time bringing massive classical parallelism to bear on its computations. Such an ensemble quantum computer can be realized, to a limited extent, by nuclear magnetic resonance (NMR) spectroscopy on ordinary liquids at room temperature and pressure. This simple implementation depends on special kinds of mixed states, called pseudo-pure states, whose preparation entails a loss of signal that is exponential in the number of spins. While this would appear to limit such an implementation to ca. 8-10 spins in the foreseeable future, NMR spectroscopy has now permitted the first experimental demonstrations of all the basic features of quantum computing. We claim, moreover, that the product operator formalism, on which the theory of NM R spectroscopy is based, provides an efficient framework within which to analyze algorithms and decoherence effects in quantum computing more generally. This is illustrated by presenting our recent experimentally implementation of a quantum error correcting code.

Citation Download Citation

Timothy F. Havel, Shyamal S. Somaroo, and David G. Cory "Ensemble quantum computing by NMR spectroscopy: product operators, pseudopure states, and an implementation of quantum error correction", Proc. SPIE 3385, Photonic Quantum Computing II, (6 July 1998); https://doi.org/10.1117/12.312634

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
12 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Quantum computing

Computing systems

Spectroscopy

Signal to noise ratio

Molecules

Magnetism

Liquids

Show All Keywords

Keywords/Phrases

Search In:

Publication Years