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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:

Chicago
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.
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.
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.
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.
@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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