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...

We study the behavior of two archetypal quantum spin glasses at T = 0 by exact diagonalization techniques: the random Ising model in a transverse field and the random Heisenberg model. The behavior of the dynamical spin response is obtained in the spin-glass ordered phase. In both models it is gapless and has the general form chi(")(omega) = qdelta(omega)+chi(")(reg)(omega), with chi(")(reg)(om...

2014 Combining a real space renormalization group method and exact results, the Ising model with a transverse field has been studied at T = 0 for comb-like ramified linear structures. Tome 40 No 12 15 JUIN 1979 LE JOURNAL DE PHYSIQUE LETTRES Classification Physics Abstracts 03.65 04.90 75. 10D The Ising model with a transverse field described by the Hamiltonian where Sf, Sf, Si are Pauli spin 1...