One-way quantum computing in optical lattices with many atom addressing

Date
2007
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Abstract
Ultracold atoms in optical lattices arc a promising test bed for quantum computation and simulation. The relative ease with which large cluster states, a special class of entangled state, can be generated in optical lattices makes them particularly attractive for the implementation of one-way quantum computing (1 WQC). Given the cluster state as a resource, lWQC requires only the ability to make sequential measurements on isolated qubits. Unfortunately, this requirement poses a major challenge for 1 vVQC in optical lattice systems because the spacing between atomic qubits is generally smal1er than the width of addressing beams. This thesis will examine the problems associated with many a.torn addressing in Lhe context of 1 \iVQC and show that even without the ability to address single atoms l\VQC is still possible. It is shown how, with many qubit rotations, one can arbitrary choose the rotation applied to N qubits using N accurately positioned rotation beams. This thesis also presents a simple method Lo increase tile probability of measuring only a single cluster qubit, at the cost of additional operational overhead. Finally a measurement protocol is presented which, by increasing the overall cluster size, compensates for errors which arise wltcn an arbitrary number of nearby cluster q11bits are accidentally measured.
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Bibliography: p. 86-96
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Citation
Friesen, T. P. (2007). One-way quantum computing in optical lattices with many atom addressing (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/1227
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