NMR System for a Type II Quantum Computer
Final rept. 1 Apr 2004-30 Sep 2006
MASSACHUSETTS INST OF TECH CAMBRIDGE
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This project was to use liquid state nuclear magnetic resonance NMR as a test-bed to explore the control of information for Type-II quantum computing QC and for quantum information processing approaches to quantum simulations. During the first stages of the project we demonstrated NMR based implementations of type-II QC algorithms including the diffusion equation and Burgers equation. These demonstrations relied on a spatial encoding of non-interacting quantum systems. One of the challenges of quantum simulations is the growth of errors during a lattice type calculation. We demonstrated that we could reduce the errors by introducing random operations that commute with the map. This improved the simulation fidelity but important errors still remained. We then attacked these errors directly by exploring both the transients in our implementation which led to the largest errors and a series of more robust optimal control pulses. Finally during this last period we focused on quantum simulations of exchange operations over lattices and demonstrated that quantum interference effects involving multiple paths between the exchanging qubits can lead to higher fidelity operations.
- Atomic and Molecular Physics and Spectroscopy
- Quantum Theory and Relativity