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Award Abstract # 0729172
Quantum Algorithms for Data Streams

NSF Org: CCF
Division of Computing and Communication Foundations
Recipient: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
Initial Amendment Date: September 14, 2007
Latest Amendment Date: September 14, 2007
Award Number: 0729172
Award Instrument: Standard Grant
Program Manager: Dmitri Maslov
CCF
 Division of Computing and Communication Foundations
CSE
 Directorate for Computer and Information Science and Engineering
Start Date: September 15, 2007
End Date: August 31, 2009 (Estimated)
Total Intended Award Amount: $69,230.00
Total Awarded Amount to Date: $69,230.00
Funds Obligated to Date: FY 2007 = $69,230.00
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): THEORETICAL FOUNDATIONS (TF)
Primary Program Source: app-0107 
Program Reference Code(s): 9218, HPCC
Program Element Code(s): 735100
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.070

ABSTRACT

"Quantum Algorithms for Data Stream"
Wim van Dam, University of California, Santa Barbara

In this project the investigator develops new algorithms for processing data streams that are much larger than the internal memory of the quantum computer that executes the quantum algorithm. Such algorithms are especially relevant in an "online" setting where the computer deals with a continuous and unpredictable flow of information that has to be processed in real time without the possibility of storing the information for further analysis. The research of this project focuses on the question how much better (future) quantum mechanical computers will be at performing such tasks in comparison with our current, classical computers.

While N quantum bits can carry no more than N bits of classical information, there is ample evidence from earlier work on quantum finite automata and quantum communication that for specific tasks the required amount of quantum bits can be significantly lower than the required number of classical bits. Here it is investigated if these kinds of quantum improvements can also be obtained in the data stream model. The research applies ideas from the theory of quantum computation to the new setting of data stream algorithms, which gives a computational model that sits at the intersection of the theories of quantum finite automata and quantum communication complexity. As quantum devices in the near future will most likely have a very limited amount of memory, this data stream model is arguably more realistic, from an experimental point of view at least, than the general quantum circuit model with its more generous assumptions regarding the availability of memory.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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Wim van Dam and Qingqing Yuan "Quantum Online Memory Checking" Lecture Notes in Computer Science (Theory of Quantum Computation, Communication, and Cryptography: Fourth Workshop, TQC 2009, Waterloo, Canada, May 11-13, 2009. Revised Selected Papers, eds. Andrew Childs and Michele Mosca) , v.5906 , 2009 , p.10

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