1. Quantum Control Quantum compiling Algorithms as closed loop control circuits Correcting quantum errors with unitary operations

2. Shaped Ultrafast Optical Pumping of NMR Systems Jason Taylor / Neil Gershenfeld MIT Media Lab Daniel Morris / Phil Bucksbaum University of Michigan

3. Typical pulse shaper with feedback

4. goals Increase nuclear polarization –Unity polarization would be nice for quantum computers Decrease nuclear polarization –Resetting qubits is necessary for quantum error correction Selectively polarize nuclei

5. NMR & Biology Tools for accessible NMR –Table-top NMR (whole systems, amplifiers) –Automatic shimming Ultimate goal: –Biological structure via NMR Imaging Structure calculations ??

6. Radio Frequency Graphical Models Implemented in Analog Circuits Benjamin Vigoda MIT Media Lab

7. A Spread Spectrum Radio System

8. AFSR Iterative Factor Graph Finds phase of 4 bin, 2 tap LFSR

9. Soft Gates for Coding p z (1) = p x (1) p y (1) p z (0) = p x (0) p y (0) p z (1) = p x (0) p y (1) + p x (1) p y (0) p z (0) = p x (0) p y (0) + p x (1) p y (1) For Binary Symmetric Channel with Hard Decision p z (x=1|y = 0) = p(x=0|y=1) = 1-A p z (x=1|y = 1) = p(x=0|y=0) = A

10. Translinear Multiplier SoftGate Source Referenced Subthreshold MOSFET: I DS = I O e K S V GS /  t (1 – e -V DS /  t ) For understanding circuit, think: I DS = I O e KV GS Circuit Computes: p z (1) = p x (0) p y (1) + p x (1) p y (0) p z (0) = p x (0) p y (0) + p x (1) p y (1)