2008/04/11 by Travis Roland Beals, Travis R. Beals, Jiří Vala +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Computation #Computer science #Lattice (music) #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum computer #Quantum gate #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Scalability #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.77.052309
published as Phys. Rev. A 77, 052309 (2008) · 17 pages, 5 figures. Accepted for publication in Physical Review A
arxiv created 2008/04/11 · openalex publication_date 2008/05/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We make a detailed analysis of error mechanisms, gate fidelity, and scalability of proposals for quantum computation with neutral atoms in addressable (large lattice constant) optical lattices. We have identified possible limits to the size of quantum computations, arising in three-dimensional (3D) optical lattices from current limitations on the ability to perform single-qubit gates in parallel and in 2D lattices from constraints on laser power. Our results suggest that 3D arrays as large as 100\ifmmode×\else\texttimes\fi100\ifmmode×\else\texttimes\fi100 sites (i.e., \ensuremath∼106 qubits) may be achievable, provided two-qubit gates can be performed with sufficiently high precision and degree of parallelizability. The parallelizability of long-range interaction-based two-qubit gates is qualitatively compared to that of collisional gates. Different methods of performing single-qubit gates are compared, and a lower bound of 1\ifmmode×\else\texttimes\fi10^\ensuremath-5 is determined on the error rate for the error mechanisms affecting 133Cs in a blue-detuned lattice with Raman-transition-based single-qubit gates, given reasonable limits on experimental parameters.