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Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions

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Abstract
We demonstrate an implementation scheme for constructing quantum gates using unitary evolutions of the one-dimensional spin-J ferromagnetic XXZ chain. We present numerical results based on simulations of the chain using the time-dependent density matrix renormalization group method and techniques from optimal control theory. Using only a few control parameters, we find that it is possible to implement one- and two-qubit gates on a system of spin-3/2 XXZ chains, such as Not, Hadamard, Pi-8, Phase and C-Not, with fidelity levels exceeding 99%.
Keywords
ALGORITHMS, COMPUTATION, STATES, SYSTEMS

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Please use this url to cite or link to this publication:

MLA
Michoel, Tom, Jaideep Mulherkar, and Bruno Nachtergaele. “Implementing Quantum Gates Using the Ferromagnetic spin-J XXZ Chain with Kink Boundary Conditions.” NEW JOURNAL OF PHYSICS 12 (2010): n. pag. Print.
APA
Michoel, T., Mulherkar, J., & Nachtergaele, B. (2010). Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions. NEW JOURNAL OF PHYSICS, 12.
Chicago author-date
Michoel, Tom, Jaideep Mulherkar, and Bruno Nachtergaele. 2010. “Implementing Quantum Gates Using the Ferromagnetic spin-J XXZ Chain with Kink Boundary Conditions.” New Journal of Physics 12.
Chicago author-date (all authors)
Michoel, Tom, Jaideep Mulherkar, and Bruno Nachtergaele. 2010. “Implementing Quantum Gates Using the Ferromagnetic spin-J XXZ Chain with Kink Boundary Conditions.” New Journal of Physics 12.
Vancouver
1.
Michoel T, Mulherkar J, Nachtergaele B. Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions. NEW JOURNAL OF PHYSICS. 2010;12.
IEEE
[1]
T. Michoel, J. Mulherkar, and B. Nachtergaele, “Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions,” NEW JOURNAL OF PHYSICS, vol. 12, 2010.
@article{2105321,
  abstract     = {{We demonstrate an implementation scheme for constructing quantum gates using unitary evolutions of the one-dimensional spin-J ferromagnetic XXZ chain. We present numerical results based on simulations of the chain using the time-dependent density matrix renormalization group method and techniques from optimal control theory. Using only a few control parameters, we find that it is possible to implement one- and two-qubit gates on a system of spin-3/2 XXZ chains, such as Not, Hadamard, Pi-8, Phase and C-Not, with fidelity levels exceeding 99%.}},
  articleno    = {{025003}},
  author       = {{Michoel, Tom and Mulherkar, Jaideep and Nachtergaele, Bruno}},
  issn         = {{1367-2630}},
  journal      = {{NEW JOURNAL OF PHYSICS}},
  keywords     = {{ALGORITHMS,COMPUTATION,STATES,SYSTEMS}},
  language     = {{eng}},
  pages        = {{15}},
  title        = {{Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions}},
  url          = {{http://dx.doi.org/10.1088/1367-2630/12/2/025003}},
  volume       = {{12}},
  year         = {{2010}},
}

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