Quantum Lunch Location:
T-Division Conference Room, TA-3,
Building 123, Room 121
Quantum Institute: Visitor Schedule
The Quantum Lunch is regularly held on Thursdays in the Theoretical Division Conference Room, TA-3, Building 123, Room 121.
For more information, contact Diego Dalvit.
Please note the location for this meeting is in Santa Fe, New Mexico
Noyce Conference Room, Santa Fe Institute, 1399 Hyde Park Road, Santa FE
May 3 , 2006
Wednesday, 3:30 PM
Contact: Howard N. Barnum
Joseph M. Traub,
Qubit Complexity of Continuous Problems
For the foreseeable future the number of qubits will be a crucial
computational resource. We show how to lower bound the qubit complexity
using the classical query complexity. We use this result to present a
simple problem which cannot be solved on a quantum computer in the standard
quantum setting with deterministic queries but can be solved on a classical
computer using randomized queries (Monte Carlo). This suggests introducing
a quantum setting with randomized queries. We apply this setting to high
dimensional integration and to path integration. In particular, there is an
exponential improvement in the qubit complexity of path integration using
the quantum setting with randomized queries. We end by discussing future
directions and where to learn more.