Fundamental limits to the measurement of space and time

Seth Lloyd Massachusetts Institute of Technology Department of Mechanical Engineering Physics limits the accuracy with which measurements can be made. This talk uses results from the physics of information processing and the theory of quantum computation to put fundamental bounds to the accuracy with which space and time can be measured. Using the global positioning system (GPS) as an example, the talk derives a new bound, the Quantum Geometric Limit, to the accuracy with which intervals of space and time can be determined.