We use parameterized post-Friedmann (PPF) description for dark energy and apply ellipsoidal nested sampling to perform the Bayesian model selection method on different time-dependent models using a combination of $Planck$ data based distance measurements, namely baryon acoustic oscillations supernovae luminosity distance. Models with two three free parameters described in terms linear scale fac...

We describe a simple quantum error correcting code built out of time-dependent transverse field Ising model. The is similar to repetition code, but has two advantages: an $N$-qubit can be implemented with finite-depth spatially local unitary circuit, and it subsequently protect against both $X$ $Z$ errors if $N\ge 10$ even. propose implementation this 10 ultracold Rydberg atoms in optical tweez...