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

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-frac{3}{2} XXZ chains, such as Not, Hadamard, Pi-8, Phase and C-Not, with fidelity levels exceeding 99%.

Michoel, T., Mulherkar, J., Nachtergaele, B. (2010) Implementing quantum gates using the ferromagnetic spin-J XXZ chain with kink boundary conditions. New J. Phys. 12:025003.

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