Skip to feedback

Award Abstract # 0917244
Small:CIF:Exact Thresholds for Quantum Information Processing

NSF Org: CCF
Division of Computing and Communication Foundations
Recipient: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
Initial Amendment Date: July 10, 2009
Latest Amendment Date: July 10, 2009
Award Number: 0917244
Award Instrument: Standard Grant
Program Manager: Balasubramanian Kalyanasundaram
CCF
 Division of Computing and Communication Foundations
CSE
 Directorate for Computer and Information Science and Engineering
Start Date: July 15, 2009
End Date: June 30, 2013 (Estimated)
Total Intended Award Amount: $443,880.00
Total Awarded Amount to Date: $443,880.00
Funds Obligated to Date: FY 2009 = $443,880.00
History of Investigator:
  • Willem van Dam (Principal Investigator)
    vandam@cs.ucsb.edu
Recipient Sponsored Research Office: University of California-Santa Barbara
3227 CHEADLE HALL
SANTA BARBARA
CA  US  93106-0001
(805)893-4188
Sponsor Congressional District: 24
Primary Place of Performance: University of California-Santa Barbara
3227 CHEADLE HALL
SANTA BARBARA
CA  US  93106-0001
Primary Place of Performance
Congressional District:
24
Unique Entity Identifier (UEI): G9QBQDH39DF4
Parent UEI:
NSF Program(s): QUANTUM COMMUNICATION
Primary Program Source: 01000910DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 9218, HPCC
Program Element Code(s): 794800
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.070

ABSTRACT

Computation and communication are physical processes with limits set by the laws of physics. This project investigates which bounds the laws of quantum mechanics impose on processing quantum information in a reliable manner. Two questions are specifically addressed, one concerning the amount of noise that can be tolerated in a quantum computer, and the other about the minimal physical resources required to store quantum information.

Noise Thresholds: When talking about circuits to implement quantum algorithms one has to take into account the fact that it is impossible to implement the gates perfectly. In the case of quantum computation this realization is especially relevant as the experimental challenges for implementing quantum gates are significantly greater than those for implementing classical gates.
It is the theory of fault tolerant quantum computation that investigates the many aspects of this issue. The current project looks at exactly which noise levels the ability to perform quantum computation disappears and how such threshold values depend on the kind of quantum gate and the kind of noise.

Information Storage: It seems obvious that to store a bit of information one needs to expend physical resources and that there is a trade-off between these resources such as space and energy. The research of this project looks at making this intuition rigorous and more quantitative by deriving physical laws that give exact lower bounds on the necessary combined resources to store quantum information reliably, taking into account how much information for how long has to be stored.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

Note:  When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

van Dam, W; Howard, M "Bipartite entangled stabilizer mutually unbiased bases as maximum cliques of Cayley graphs" PHYSICAL REVIEW A , v.84 , 2011 View record at Web of Science 10.1103/PhysRevA.84.01211
van Dam, W; Howard, M "Noise thresholds for higher-dimensional systems using the discrete Wigner function" PHYSICAL REVIEW A , v.83 , 2011 View record at Web of Science 10.1103/PhysRevA.83.03231
van Dam, W; Howard, M "Tight Noise Thresholds for Quantum Computation with Perfect Stabilizer Operations" PHYSICAL REVIEW LETTERS , v.103 , 2009 View record at Web of Science 10.1103/PhysRevLett.103.17050
Wim van Dam and Hieu D. Nguyen "Minimum Energy Surface Required by Quantum Memory Device" Physical Review Letters , v.110 , 2013 , p.250502 http://dx.doi.org/10.1103/PhysRevLett.110.250502

Please report errors in award information by writing to: awardsearch@nsf.gov.

Print this page

Back to Top of page