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Quantum Control. Quantum compiling Algorithms as closed loop control circuits Correcting quantum errors with unitary operations. Shaped Ultrafast Optical Pumping of NMR Systems. Jason Taylor / Neil Gershenfeld MIT Media Lab Daniel Morris / Phil Bucksbaum University of Michigan.

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Quantum control
Quantum Control

  • Quantum compiling

  • Algorithms as closed loop control circuits

  • Correcting quantum errors with unitary operations


Shaped ultrafast optical pumping of nmr systems
Shaped Ultrafast Optical Pumping of NMRSystems

Jason Taylor / Neil Gershenfeld

MIT Media Lab

Daniel Morris / Phil Bucksbaum

University of Michigan



Goals
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


Nmr biology
NMR & Biology

  • Tools for accessible NMR

    • Table-top NMR (whole systems, amplifiers)

    • Automatic shimming

  • Ultimate goal:

    • Biological structure via NMR

      • Imaging

      • Structure calculations

      • ??


Radio frequency graphical models implemented in analog circuits

Radio Frequency Graphical Models Implemented in Analog Circuits

Benjamin Vigoda

MIT Media Lab



Afsr iterative factor graph finds phase of 4 bin 2 tap lfsr
AFSR Iterative Factor Graph CircuitsFinds phase of 4 bin, 2 tap LFSR


Soft gates for coding
Soft Gates for Coding Circuits

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


Translinear multiplier softgate
Translinear Multiplier SoftGate Circuits

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)