Adiabatic quantum programming: minor embedding with hard faults

作者：Klymko Christine; Sullivan Blair D; Humble Travis S^*

来源：Quantum Information Processing, 2014, 13(3): 709-729.

DOI：10.1007/s11128-013-0683-9

• Quantum computing
• Adiabatic quantum optimization
• Graph embedding
• Fault-tolerant computing

Adiabatic quantum programming defines the time-dependent mapping of a quantum algorithm into an underlying hardware or logical fabric. An essential step is embedding problem-specific information into the quantum logical fabric. We present algorithms for embedding arbitrary instances of the adiabatic quantum optimization algorithm into a square lattice of specialized unit cells. These methods extend with fabric growth while scaling linearly in time and quadratically in footprint. We also provide methods for handling hard faults in the logical fabric without invoking approximations to the original problem and illustrate their versatility through numerical studies of embeddability versus fault rates in square lattices of complete bipartite unit cells. The studies show that these algorithms are more resilient to faulty fabrics than naive embedding approaches, a feature which should prove useful in benchmarking the adiabatic quantum optimization algorithm on existing faulty hardware.

• 出版日期2014-3