Solving Set Cover with Pairs Problem using Quantum Annealing.

Solving Set Cover with Pairs Problem using Quantum Annealing.
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DOI:
10.1038/srep33957
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发表时间:
2016-09-27
期刊:
影响因子:
4.6
通讯作者:
Kais S
Kais S
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Cao Y;Jiang S;Perouli D;Kais S

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在这里,我们考虑使用量子退火来解决对成对(SCP),这是NP-HARD组合优化问题,在网络,计算生物学和生物化学中起着重要作用。 SCP实例的解决方案。模拟退火。对于一般完整的两分图和逻辑分析,可能比我们处理的具体问题更广泛。
Here we consider using quantum annealing to solve Set Cover with Pairs (SCP), an NP-hard combinatorial optimization problem that plays an important role in networking, computational biology, and biochemistry. We show an explicit construction of Ising Hamiltonians whose ground states encode the solution of SCP instances. We numerically simulate the time-dependent Schrödinger equation in order to test the performance of quantum annealing for random instances and compare with that of simulated annealing. We also discuss explicit embedding strategies for realizing our Hamiltonian construction on the D-wave type restricted Ising Hamiltonian based on Chimera graphs. Our embedding on the Chimera graph preserves the structure of the original SCP instance and in particular, the embedding for general complete bipartite graphs and logical disjunctions may be of broader use than that the specific problem we deal with.
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