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25 April 2024
 
  » arxiv » 1302.6555

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Non-Hermitian Quantum Annealing in the Antiferromagnetic Ising Chain
Alexander I. Nesterov ; Gennady P. Berman ; Juan C. Beas Zepeda ; Alan R. Bishop ;
Date 26 Feb 2013
AbstractA non-Hermitian quantum optimization algorithm is created and used to find the ground state of an antiferromagnetic Ising chain. We demonstrate analytically and numerically (for up to N=1024 spins) that our approach leads to a significant reduction of the annealing time that is proportional to $ln N$, which is much less than the time (proportional to $N^2$) required for the quantum annealing based on the corresponding Hermitian algorithm. We propose to use this approach to achieve similar speed-up for NP-complete problems by using classical computers in combination with quantum algorithms.
Source arXiv, 1302.6555
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