Erasure Thresholds for Efficient Linear Optics Quantum Computation

Details Erasure Thresholds for Efficient Linear Optics Quantum Computation Erasure Thresholds for Efficient Linear Optics Quantum Computation

2004-05-19

arxiv.org/abs/quant-ph/0405112v1

Physics

Quantum Physics

96 pages, 23 figures, LaTeX. University of Waterloo M.Sc. Thesis

Scientific paper

Using an error models motivated by the Knill, Laflamme, Milburn proposal for efficient linear optics quantum computing [Nature 409,46--52, 2001], error rate thresholds for erasure errors caused by imperfect photon detectors using a 7 qubit code are derived and verified through simulation. A novel method -- based on a Markov chain description of the erasure correction procedure -- is developed and used to calculate the recursion relation describing the error rate at different encoding levels from which the threshold is derived, matching threshold predictions by Knill, Laflamme and Milburn [quant-ph/0006120, 2000]. In particular, the erasure threshold for gate failure rate in the same order as the measurement failure rate is found to be above 1.78%.

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