| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
|
| Initial Amendment Date: | June 12, 2006 |
| Latest Amendment Date: | June 25, 2008 |
| Award Number: | 0604900 |
| Award Instrument: | Continuing Grant |
| Program Manager: |
Henry Warchall
DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | July 1, 2006 |
| End Date: | June 30, 2011 (Estimated) |
| Total Intended Award Amount: | $102,000.00 |
| Total Awarded Amount to Date: | $102,000.00 |
| Funds Obligated to Date: |
FY 2007 = $34,055.00 FY 2008 = $34,571.00 |
| History of Investigator: |
|
| Recipient Sponsored Research Office: |
80 GEORGE ST MEDFORD MA US 02155-5519 (617)627-3696 |
| Sponsor Congressional District: |
|
| Primary Place of Performance: |
80 GEORGE ST MEDFORD MA US 02155-5519 |
| Primary Place of
Performance Congressional District: |
|
| Unique Entity Identifier (UEI): |
|
| Parent UEI: |
|
| NSF Program(s): |
APPLIED MATHEMATICS, QIS - Quantum Information Scie, International Research Collab |
| Primary Program Source: |
app-0107 01000809DB NSF RESEARCH & RELATED ACTIVIT |
| Program Reference Code(s): |
|
| Program Element Code(s): |
|
| Award Agency Code: | 4900 |
| Fund Agency Code: | 4900 |
| Assistance Listing Number(s): | 47.049 |
ABSTRACT
This research project is concerned with mathematical problems that arise in the description of noisy quantum systems. Some of the work addresses the question of when entanglement can enhance the capacity of a noisy quantum channel. This includes work on longstanding conjectures and related questions about operator spaces. The project also investigates aspects of quantum error correction beyond the familiar stabilizer codes. Finally, the work addresses several mathematical questions that arise in adiabatic quantum computation and may shed light on the controversial issue of whether or not adiabatic quantum optimization can solve hard problems in polynomial time.
Physicists have made considerable progress in demonstrating that quantum systems can be used for new methods of cryptography, communication, and computation. Further development of efficient, practical quantum communication systems requires theoretical investigations analogous to the fundamental work in classical communication theory on channel capacity and error correction. This project investigates several such mathematical issues directly connected to the practical implementation of quantum information processing.
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.
Please report errors in award information by writing to: awardsearch@nsf.gov.
