printlogo
http://www.ethz.ch/index_EN
International Workshop on Quantum Information Processing
 
print
  

QIP 2010 at

ETH Life

The daily web-journal of ETH Zurich:

"Lifting the big veil"

"Nach dem grossen Schleier lüften"

18.01.2010

QIP 2010 at the

Swiss Radio DRS

Echo der Zeit

from Monday Jan 18, 2010

in German, Link >>

(Real Player recommended)

chocolate


pdf files of
Programme Booklet >>
and
Abstracts of all Talks >>

You will receive a hard copy of these files at the registration desk.

Sponsors

Pauli Center for Theoretical Studies

pauliohne


The Swiss National Science Foundation

snflogo


ETH Zurich (Computer Science and Physics Department)

ethlogo


Quantum Science and Technology

qsitmitschrift


CQT Singapore

cqtlogo


QAP European Project

qaplogo3


Sandia National Laboratories

sandia


Institute for Quantum Computing

finaliqc


id Quantique

3rdideequantique

Adiabatic quantum optimization fails for random instances of NP-complete problems

Hari Krovi, NEC Laboratories  America

joint work with Boris Altshuler and Jérémie Roland

Adiabatic quantum optimization has attracted a lot of attention because small scale simulations gave hope that it would allow to solve NP-complete problems efficiently. Later, negative results proved the existence of specifically designed hard instances where adiabatic optimization requires exponential time. In spite of this, there was still hope that this would not happen for random instances of NP-complete problems. This is an important issue since random instances can be considered as a good model for instances typically encountered in practical applications. Here, we will show that because of a phenomenon similar to Anderson localization, an exponentially small eigenvalue gap appears in the spectrum of the adiabatic Hamiltonian for large random instances, very close to the end of the algorithm. This implies that unfortunately, adiabatic quantum optimization also fails for these instances by getting stuck in a local minimum, unless the computation is exponentially long.

 

Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information

© 2015 ETH Zürich | Imprint | Disclaimer | 5 January 2010
top