515,176 research outputs found
Dimensional Jump in Quantum Error Correction
Topological stabilizer codes with different spatial dimensions have
complementary properties. Here I show that the spatial dimension can be
switched using gauge fixing. Combining 2D and 3D gauge color codes in a 3D
qubit lattice, fault-tolerant quantum computation can be achieved with constant
time overhead on the number of logical gates, up to efficient global classical
computation, using only local quantum operations. Single-shot error correction
plays a crucial role.Comment: As accepted in journal: 10 pages, 3 figure
Bohmian transmission and reflection dwell times without trajectory sampling
Within the framework of Bohmian mechanics dwell times find a straightforward
formulation. The computation of associated probabilities and distributions
however needs the explicit knowledge of a relevant sample of trajectories and
therefore implies formidable numerical effort. Here a trajectory free
formulation for the average transmission and reflection dwell times within
static spatial intervals [a,b] is given for one-dimensional scattering
problems. This formulation reduces the computation time to less than 5% of the
computation time by means of trajectory sampling.Comment: 14 pages, 7 figures; v2: published version, significantly revised and
shortened (former sections 2 and 3 omitted, appendix A added, simplified
mathematics
Spatial Spectrum Analysis of Wave-Front Correction with a Segmented Mirror
An expression is derived for the spatial power spectrum of wave-front errors after correction with a segmented mirror. This includes estimates of the spectral contributions of segment piston and tilt corrections and spatial aliasing by a regular array of segments. The approach allows rapid computation of wave-front error spectra in systems with highly segmented mirrors
- …