# Simulation of Grover's quantum search algorithm in an Ising-nuclear-spin-chain quantum computer with first- and second-nearest-neighbour couplings

@article{Lpez2008SimulationOG, title={Simulation of Grover's quantum search algorithm in an Ising-nuclear-spin-chain quantum computer with first- and second-nearest-neighbour couplings}, author={Gustavo V. L{\'o}pez and Thomas Gorin and Lorena Lara}, journal={Journal of Physics B: Atomic, Molecular and Optical Physics}, year={2008}, volume={41}, pages={055504} }

We implement Grover's quantum search algorithm on a nuclear spin-chain quantum computer, taking Ising-type interactions between nearest and second-nearest neighbours into account. The performance of this implementation is studied by numerical simulations with four spins. We determine the temporal behaviour of the fidelity during the algorithm, and we compute the final fidelity as a function of the Rabi frequency. For the latter, we obtain pronounced maxima at frequencies which fulfil the…

## 6 Citations

### Simulation of static and random errors on Grover's search algorithm implemented in an Ising nuclear spin chain quantum computer with a few qubits

- Computer Science, Physics
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Grover's search algorithm on a model quantum computer implemented on a chain of four or five nuclear spins with first- and second-neighbour Ising interactions is considered, and the behaviour of the fidelity is analysed as a function of the noise intensity for static and random noise on either the Larmor frequencies or the Rabi frequency.

### Measurement-enhanced quantum search

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By removing a 12C atom from the tetrahedral
configuration of the diamond, replacing it by a 13C atom, and repeating
this in a linear direction, it is possible to have a linear chain of nuclear …

### Optimal fixed-point quantum search in an interacting Ising spin system

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### Study of Decoherence of Entangled States Made up of Two Basic States in a Linear Chain of Three Qubits

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Using Lindblad approach to study decoherence of quantum systems, we study the decoherence and decay of entangled states, formed by two basic states of a chain of thee qubits. We look on these states…

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