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

Tom Michoel, Jaideep Mulherkar, Bruno Nachtergaele

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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%.

Original languageEnglish
Article number025003
Pages (from-to)1-15
Number of pages15
JournalNew Journal of Physics
Volume12
DOIs
Publication statusPublished - 26 Feb 2010

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