1,114 research outputs found
On a generalized quantum SWAP gate
The SWAP gate plays a central role in network designs for qubit quantum computation. However, there has been a view to generalize qubit quantum computing to higher dimensional quantum systems. In this paper we construct a generalized SWAP gate using only instances of the generalized controlled-NOT gate to cyclically permute the states of d qudits for d prime
High threshold universal quantum computation on the surface code
We present a comprehensive and self-contained simplified review of the
quantum computing scheme of Phys. Rev. Lett. 98, 190504 (2007), which features
a 2-D nearest neighbor coupled lattice of qubits, a threshold error rate
approaching 1%, natural asymmetric and adjustable strength error correction and
low overhead arbitrarily long-range logical gates. These features make it by
far the best and most practical quantum computing scheme devised to date. We
restrict the discussion to direct manipulation of the surface code using the
stabilizer formalism, both of which we also briefly review, to make the scheme
accessible to a broad audience.Comment: 18 pages, 28 figures, state distillation section correcte
A Multiscale Model of Partial Melts 1: Effective Equations
In this paper a model for partial melts is constructed using two-scale
homogenization theory. While this technique is well known to the mathematics
and materials communities, it is relatively novel to problems in the solid
Earth. This approach begins with a grain scale model of the medium, coarsening
it into a macroscopic one. The emergent model is in good agreement with
previous work, including D. McKenzie's, and serves as verification. This
methodology also yields a series of Stokes problems whose solutions provide
constitutive relations for permeability and viscosity. A numerical
investigation of these relations appears in a companion paper.Comment: 55 pages. Submitted to JGR Solid Eart
The Importance of Monitoring Sleep within Adolescent Athletes: Athletic, Academic, and Health Considerations
Opinion piece
Sleep Medication and Athletic Performance—The Evidence for Practitioners and Future Research Directions
Opinion piece
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