Fault tolerant quantum computation with very high threshold for loss errors

Many proposals for fault tolerant quantum computation (FTQC) suffer detectable loss processes. Here we show that topological FTQC schemes, which are known to have high error thresholds, are also extremely robust against losses. We demonstrate that these schemes tolerate loss rates up to 24.9%, determined by bond percolation on a cubic lattice. Our numerical results show that these schemes retain good performance when loss and computational errors are simultaneously present.Comment: 4 pages, comments still very welcome. v2 is a reasonable approximation to the published versio

Fully fault tolerant quantum computation with non-deterministic gates

In certain approaches to quantum computing the operations between qubits are non-deterministic and likely to fail. For example, a distributed quantum processor would achieve scalability by networking together many small components; operations between components should assumed to be failure prone. In the logical limit of this architecture each component contains only one qubit. Here we derive thresholds for fault tolerant quantum computation under such extreme paradigms. We find that computation is supported for remarkably high failure rates (exceeding 90%) providing that failures are heralded, meanwhile the rate of unknown errors should not exceed 2 in 10^4 operations.Comment: 5 pages, 3 fig

High carbon wood ash biochar for mine tailings remediation: a field assessment of planted tree performance and metals uptake

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A Comparison of External Loads in Division III Men\u27s Lacrosse Between High Competition Matches and Low Competition Matches

Lacrosse is an open field sport with limited knowledge on the demands of gameplay at the Division III level. The purpose of this study was to investigate the external loads on Division III men’s lacrosse players during NCAA season games. Comparisons were made between the external loads placed on the athletes in top competition versus external loads placed on the athletes in low competition matches. Top competition matches were defined as matches against teams that qualified for the NCAA tournament whereas low competition matches included teams that did not meet top competition requirements. The dependent variables measured included total distance, work rate, intensity, 2D load, and 3D load. Defensive players were found to have significantly higher external load values for total distance (m; p=0.003), work rate (m/min; p=0.006 ), intensity (AU; p=0.071), 2D load (AU; p= 0.039 ) and 3D load (AU; p=0.022), while there were no significant differences (p\u3e0.05) for other positions between competition level. Competition level exerts a higher external load for defensive players, but not attack, midfield, or specialists (goalie, face-off, etc), which may indicate the need for specialized conditioning or active load management to deal with potential fatigue