On Heat-Bath Algorithmic Cooling and its Implementation in Solid-State NMR.

> A thesis presented to the University of Waterloo in fulfilment of the thesis requirement of the degree of Master of Science in Physics.

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Abstract:

Preparation of a quantum computer in a known state is essential for quantum computation. This is required in initializing a quantum computer for computation, and in dynamically supplying ancilla qubits to achieve fault-tolerance. Heat-bath algorithmic cooling is an implementation-independent procedure, which has been proposed as means to purify the initially mixed state for computation.

We present numerical simulations of the heat-bath algorithmic cooling procedure, and highlight the theoretical limits on achievable cooling using this algorithm.

We also report the implementation of this algorithm on a 3-qubit processor as a proof of principle. The experiment is performed using the nuclear magnetic resonance (NMR) of single-crystal Malonic acid (C3H4O4) in the solid state. Using the algorithm, and starting from the totally mixed state on the computational qubits, we are able to cool one of the qubits below the effective heat-bath temperature.

     
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