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. © 2005 The American Physical Society.
CITATION STYLE
Vala, J., Whaley, K. B., & Weiss, D. S. (2005). Quantum error correction of a qubit loss in an addressable atomic system. Physical Review A - Atomic, Molecular, and Optical Physics, 72(5). https://doi.org/10.1103/PhysRevA.72.052318
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