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The Quantum Architecture
Research Center
Paper Abstract The Effect of Communication
Costs in
Appears in Proceedings of the 15th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2003) |
In particular, quantum computations must make use of extremely robust error correction techniques to extend the life of quantum data. We present optimized spatial layouts of quantum error correction circuits for quantum bits embedded in silicon. We analyze the complexity of error correction under the constraint that interaction between these bits is near neighbor and data must be propagated via swap operations from one part of the circuit to another.
We discover two interesting results from out quantum layouts.
First, the recursive nature of quantum error correction circuits requires
an additional communication technique more powerful than near-neighbor
swaps -- too much error accumulates if we attempt to swap over long distances.
We show that quantum teleportation can be used to implement recursive structures.
We also show that the reliability of the quantum swap operation is the
limiting factor in solid-state quantum computation.
[ Paper: PDF (128K), Postscript (1.69M), Compressed Postscript (386K)]