Quantum error correction of a qubit loss in an addressable atomic system

J. Vala, K. B. Whaley, D. S. Weiss

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Abstract

We present a scheme for correcting qubit loss error while quantum computing with neutral atoms in an addressable optical lattice. The qubit loss is first detected using a quantum nondemolition measurement and then transformed into a standard qubit error by inserting a new atom in the vacated lattice site. The logical qubit, encoded here into four physical qubits with the Grassl-Beth-Pellizzari code, is reconstructed via a sequence of one projective measurement, two single-qubit gates, and three controlled-NOT operations. No ancillary qubits are required. Both quantum nondemolition and projective measurements are implemented using a cavity quantum electrodynamics system which can also detect a general leakage error and thus allow qubit loss to be corrected within the same framework. The scheme can also be applied in quantum computation with trapped ions or with photons.

Original languageEnglish (US)
Article number052318
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume72
Issue number5
DOIs
Publication statusPublished - Nov 1 2005

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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