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Quantum Control

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- Quantum compiling
- Algorithms as closed loop control circuits
- Correcting quantum errors with unitary operations

Jason Taylor / Neil Gershenfeld

MIT Media Lab

Daniel Morris / Phil Bucksbaum

University of Michigan

- 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

- Tools for accessible NMR
- Table-top NMR (whole systems, amplifiers)
- Automatic shimming

- Ultimate goal:
- Biological structure via NMR
- Imaging
- Structure calculations
- ??

- Biological structure via NMR

Radio Frequency Graphical Models Implemented in Analog Circuits

Benjamin Vigoda

MIT Media Lab

pz(1) = px(1) py(1)

pz(0) = px(0) py(0)

pz(1) = px(0) py(1) + px(1) py(0)

pz(0) = px(0) py(0) + px(1) py(1)

For Binary Symmetric Channel with Hard Decision

pz(x=1|y = 0) = p(x=0|y=1) = 1-A

pz(x=1|y = 1) = p(x=0|y=0) = A

Source Referenced Subthreshold MOSFET:

IDS = IO e KSVGS/t (1 – e -VDS/t )

For understanding circuit, think:

IDS = IO e KVGS

Circuit Computes:

pz(1) = px(0) py(1) + px(1) py(0)

pz(0) = px(0) py(0) + px(1) py(1)