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arXiv · 0902.1276

Implementing Quantum Gates using the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions

Tom Michoel·Jaideep Mulherkar·Bruno Nachtergaele
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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 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 levels exceeding 99%.

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Tom Michoel, Jaideep Mulherkar, Bruno Nachtergaele. 2009-02-19. Implementing Quantum Gates using the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions. https://doi.org/10.1088/1367-2630%2F12%2F2%2F025003

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