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Experimental demonstration of indirect Hamiltonian tomography for 3-spin XY chain

  • Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2015.03.007
  • Received Date: 28 October 2013
  • Accepted Date: 10 January 2014
  • Rev Recd Date: 10 January 2014
  • Publish Date: 30 March 2015
    Abstract

  • Abstract

    To realize quantum control and quantum computation on a quantum system, its Hamiltonian parameters must be determined first. However, in many cases a quantum system is access-limited. In our experiment, the dynamic evolution of a 3-spin XY chain was simulated with an NMR quantum simulator. The Hamiltonian parameters of the 3-spin XY chain were determined by measuring only the first spin and processing the data obtained.

    Abstract

    To realize quantum control and quantum computation on a quantum system, its Hamiltonian parameters must be determined first. However, in many cases a quantum system is access-limited. In our experiment, the dynamic evolution of a 3-spin XY chain was simulated with an NMR quantum simulator. The Hamiltonian parameters of the 3-spin XY chain were determined by measuring only the first spin and processing the data obtained.
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    • References(10)
  • [1]
    Burgarth D, Maruyama K, Nori F. Coupling strength estimation for spin chains despite restricted access[J].Physical Review A, 2009, 79: 020305.
    [2]
    Burgarth D, Maruyama K. Indirect Hamiltonian identification through a small gateway[J]. New Journal of Physics, 2009, 11: 103019.
    [3]
    Di Franco C, Paternostro M, Kim M S. Hamiltonian tomography in an access-limited setting without state initialization[J].Physical Review Letters, 2009,102:187203.
    [4]
    Di Franco C, Paternostro M, Kim M S. Bypassing state initialization in Hamiltonian tomography on spin-chains[J].International Journal of Quantum Information, 2011, 9(suppl): 181-187.
    [5]
    Burgarth D, Maruyama K, Nori F. Indirect quantum tomography of quadratic Hamiltonians[J]. New Journal of Physics, 2011, 13: 013019.
    [6]
    Wiesniak M, Markiewicz M. Finding traps in nonlinear spin arrays[J]. Physical Review A, 2010, 81: 032340.
    [7]
    Burgarth D, Yuasa K. Quantum system identification[J]. Physical Review Letters, 2012, 108: 080502.
    [8]
    Ali Fasihi M, Tanaka S, Nakahara M, et al. Hamiltonian determination with restricted access in transverse field Ising chain[J].Journal of the Physical Society of Japan, 2011,80:044002.
    [9]
    Lapasar E H, Maruyama K, Burgarth D, et al. Estimation of coupling constants of a three-spin chain: A case study of Hamiltonian tomography with nuclear magnetic resonance[J]. New Journal of Physics, 2012, 14: 013043.
    [10]
    Zhang J, Long G L, Zhang W, et al. Simulation of Heisenberg XY interactions and realization of a perfect state transfer in spin chains using liquid nuclear magnetic resonance[J]. Physical Review A, 2005, 72: 012331.
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    [1]
    Burgarth D, Maruyama K, Nori F. Coupling strength estimation for spin chains despite restricted access[J].Physical Review A, 2009, 79: 020305.
    [2]
    Burgarth D, Maruyama K. Indirect Hamiltonian identification through a small gateway[J]. New Journal of Physics, 2009, 11: 103019.
    [3]
    Di Franco C, Paternostro M, Kim M S. Hamiltonian tomography in an access-limited setting without state initialization[J].Physical Review Letters, 2009,102:187203.
    [4]
    Di Franco C, Paternostro M, Kim M S. Bypassing state initialization in Hamiltonian tomography on spin-chains[J].International Journal of Quantum Information, 2011, 9(suppl): 181-187.
    [5]
    Burgarth D, Maruyama K, Nori F. Indirect quantum tomography of quadratic Hamiltonians[J]. New Journal of Physics, 2011, 13: 013019.
    [6]
    Wiesniak M, Markiewicz M. Finding traps in nonlinear spin arrays[J]. Physical Review A, 2010, 81: 032340.
    [7]
    Burgarth D, Yuasa K. Quantum system identification[J]. Physical Review Letters, 2012, 108: 080502.
    [8]
    Ali Fasihi M, Tanaka S, Nakahara M, et al. Hamiltonian determination with restricted access in transverse field Ising chain[J].Journal of the Physical Society of Japan, 2011,80:044002.
    [9]
    Lapasar E H, Maruyama K, Burgarth D, et al. Estimation of coupling constants of a three-spin chain: A case study of Hamiltonian tomography with nuclear magnetic resonance[J]. New Journal of Physics, 2012, 14: 013043.
    [10]
    Zhang J, Long G L, Zhang W, et al. Simulation of Heisenberg XY interactions and realization of a perfect state transfer in spin chains using liquid nuclear magnetic resonance[J]. Physical Review A, 2005, 72: 012331.
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