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

Tom Michoel; Jaideep Mulherkar; Bruno Nachtergaele

doi:10.1088/1367-2630/12/2/025003

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

Tom Michoel, Jaideep Mulherkar, Bruno Nachtergaele

Royal (Dick) School of Veterinary Studies

Research output: Contribution to journal › Article › peer-review

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%.

Original language	English
Article number	025003
Pages (from-to)	1-15
Number of pages	15
Journal	New Journal of Physics
Volume	12
DOIs	https://doi.org/10.1088/1367-2630/12/2/025003
Publication status	Published - 26 Feb 2010

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Njp10 2 025003Final published version, 606 KB

http://iopscience.iop.org/1367-2630/12/2/025003/

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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%.",

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N2 - 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%.

AB - 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%.

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

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