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P. W. Shor, “Polynomial Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer,” SIAM Review, Vol. 41, No. 2, 1999, pp. 303-332. doi:10.1137/S0036144598347011

has been cited by the following article:

• TITLE: Quantum Simulation of 2p-π Electronic Hamiltonian in Molecular Ethylene by Using an NMR Quantum Computer

  AUTHORS: Deniz Türkpençe, Azmi Gençten

  KEYWORDS: NMR Quantum Computer; Quantum Simulation; Molecular Ethylene; ASP; IPEA

  JOURNAL NAME: Journal of Quantum Information Science, Vol.3 No.2, June 13, 2013

  ABSTRACT: Classical simulation of a quantum system is a hard problem. It’s known that these problems can be solved efficiently by using quantum computers. This study demonstrates the simulation of the molecular Hamiltonian of 2p-π electrons of ethylene in order to calculate the ground state energy. The ground state energy is estimated by an iterative phase estimation algorithm. The ground state is prepared by the adiabatic state preparation and the implementation of the procedure is carried out by numerical simulation of two-qubit NMR quantum simulator. The readout scheme of the simulator is performed by extracting binary bits via NMR interferometer.