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Paper 1

A blueprint for fault-tolerant quantum computation with Rydberg atoms

James M. Auger, Silvia Bergamini, Dan E. Browne

Year
2017
Journal
arXiv preprint
DOI
arXiv:1707.06498
arXiv
1707.06498

We present a blueprint for building a fault-tolerant universal quantum computer with Rydberg atoms. Our scheme, which is based on the surface code, uses individually-addressable optically-trapped atoms as qubits and exploits electromagnetically induced transparency to perform the multi-qubit gates required for error correction and computation. We discuss the advantages and challenges of using Rydberg atoms to build such a quantum computer, and we perform error correction simulations to obtain an error threshold for our scheme. Our findings suggest that Rydberg atoms are a promising candidate for quantum computation, but gate fidelities need to improve before fault-tolerant universal quantum computation can be achieved.

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Paper 2

Quantum circuit design for accurate simulation of qudit channels

Dong-Sheng Wang, Barry C. Sanders

Year
2014
Journal
arXiv preprint
DOI
arXiv:1407.7251
arXiv
1407.7251

We construct a classical algorithm that designs quantum circuits for algorithmic quantum simulation of arbitrary qudit channels on fault-tolerant quantum computers within a pre-specified error tolerance with respect to diamond-norm distance. The classical algorithm is constructed by decomposing a quantum channel into a convex combination of generalized extreme channels by optimization of a set of nonlinear coupled algebraic equations. The resultant circuit is a randomly chosen generalized extreme channel circuit whose run-time is logarithmic with respect to the error tolerance and quadratic with respect to Hilbert space dimension, which requires only a single ancillary qudit plus classical dits.

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