Towards Large-Scale Quantum Computation

Details Towards Large-Scale Quantum Computation Towards Large-Scale Quantum Computation

2005-06-16

arxiv.org/abs/quant-ph/0506126v1

Physics

Quantum Physics

PhD thesis, 185 pages, 59 figures, combination of articles quant-ph/0207103, quant-ph/0306018, quant-ph/0311116, quant-ph/0402

Scientific paper

This thesis deals with a series of quantum computer implementation issues from the Kane 31P in 28Si architecture to Shor's integer factoring algorithm and beyond. The discussion begins with simulations of the adiabatic Kane CNOT and readout gates, followed by linear nearest neighbor implementations of 5-qubit quantum error correction with and without fast measurement. A linear nearest neighbor circuit implementing Shor's algorithm is presented, then modified to remove the need for exponentially small rotation gates. Finally, a method of constructing optimal approximations of arbitrary single-qubit fault-tolerant gates is described and applied to the specific case of the remaining rotation gates required by Shor's algorithm.

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