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Fidelity enhancement by logical qubit encoding

arXiv
Authors: Michael K. Henry, Chandrasekhar Ramanathan, Jonathan S. Hodges, Colm A. Ryan, Michael J. Ditty, Raymond Laflamme, David G. Cory

Year

2007

Paper ID

50144

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We demonstrate coherent control of two logical qubits encoded in a decoherence free subspace (DFS) of four dipolar-coupled protons in an NMR quantum information processor. A pseudo-pure fiducial state is created in the DFS, and a unitary logical qubit entangling operator evolves the system to a logical Bell state. The four-spin molecule is partially aligned by a liquid crystal solvent, which introduces strong dipolar couplings among the spins. Although the system Hamiltonian is never fully specified, we demonstrate high fidelity control over the logical degrees of freedom. In fact, the DFS encoding leads to higher fidelity control than is available in the full four-spin Hilbert space.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • We demonstrate coherent control of two logical qubits encoded in a decoherence free subspace (DFS) of four dipolar-coupled protons in an NMR quantum information processor.

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