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O Moussa

on 14 June 2010

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Transcript of def

Correction System
Characterization Testing
on quantum
ensembles State
Initialization 1. Hamiltonian depends on molecular geometry and orientation in magnetic field Single-crystal
Solid-state NMR
Processing Collaborators J. Baugh
C. A. Ryan
D. G. Cory Physical
Implementation Quantum
Processing Spin
qubits NMR Solid-state NMR WHY? Higher couplings leading to faster multiqubit gates.

Dynamic nuclear polarization can lead to highly purified quantum states.

Long intrinsic decoherence times.

Fast relaxing spin baths in the form of dipolar networks to facilitate a fresh supply of ancillas for quantum error correction.
Universal control Supervisor R. Laflamme O. Moussa Controllability: Pulse Design Individual qubit addressing
Any two qubit coupling
Universal control Application 1: 2. Precise Hamiltonian is obtained from spectral fit Features of pulse-designer Based on the GRadient Ascent Pulse Engineering (GRAPE) algorithm, which is inspired by optimal control methods. The cleverness of the GRAPE algorithm is not that it evaluates the derivatives of the fitness function, but rather it is the way it evaluates them from quantities already calculated; namely the propagator of each time step.

The ability, with the same control fields, to simultaneously realize different pulses for different internal Hamiltonians. This is useful for example in the situation where the contribution to the signal from the natural abundance spins is to be averaged out.

The ability to smooth pulses on the fly. The user has the option to smooth pulses every iteration as they are found. Pulses that are too jagged cannot be faithfully implemented due to the finite bandwidth of the resonant circuit.

The ability to explicitly design pulses to be robust to variations in certain parameters. Features of pulse-implementation correction Corrects for systematic errors in pulse generation and amplification.

A pickup coil measures the pulse at the sample space, and an optimization scheme corrects for the deviations.

Automatic decision making abou the goodness of the pulse.

The ability to correct pulses at various powers for calibration purposes. Algorithmic Cooling Pseudopure states Thermal states are highly mixed at room temperature

Simulate projector on multiple quantum coherence and then rotate to pseudopure state.
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