1305.5895 (Walter L. Boyajian et al.)

Compressed Simulation of evolutions of the XY--model    [PDF]

Walter L. Boyajian, Valentin Murg, Barbara Kraus

We extend the notion of compressed quantum simulation to the XY--model. We derive a quantum circuit processing log(n) qubits which simulates the 1D XY--model describing n qubits. In particular, we demonstrate how the adiabatic evolution can be realized on this exponentially smaller system and how the magnetization, which witnesses a quantum phase transition can be observed. Furthermore, we analyze several dynamical processes, like quantum quenching and finite time evolution and derive the corresponding compressed quantum circuit.

View original: http://arxiv.org/abs/1305.5895