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

Tom Michoel, Jaideep Mulherkar, Bruno Nachtergaele
2010 New Journal of Physics  
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 DMRG 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
more » ... with fidelity levels exceeding 99%.
doi:10.1088/1367-2630/12/2/025003 fatcat:n7mwsss5ejgoveuzfurgojo6hi