arXiv:1407.6634
Quantized integrable systems can be made to perform universal quantum computation by the application of a global time-varying control. The action-angle variables of the integrable system function as qubits or qudits, which can be coupled selectively by the global control to induce universal quantum logic gates. By contrast, chaotic quantum systems, even if controllable, do not generically allow quantum computation under global control.
New J. Phys. 18, 015015 (2016)
http://dx.doi.org/10.1088/1367-2630/18/1/015015
We study the equilibrium properties of the one-dimensional disordered Bose–Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness and superfluid correlations close to the superfluid to glass transition line, obtaining accurate locations of the critical points.
doi:10.1088/0034-4885/75/8/082401
Various quantum phenomena like high-Tc superconductivity or quark confinement are still awaiting universally accepted explanations, because of the computational complexity of solving simplified theoretical models designed to capture their relevant physics. Feynman suggested solving such models by "quantum simulation" with a device designed to obey the same quantum many-body dynamics. So far, the community has mostly focused on developing the \emph{controllability} of quantum simulators.
arXiv:1109.6457
arXiv:1109.6457v3 [quant-ph]
Various quantum phenomena like high-Tc superconductivity or quark confinement are still awaiting universally accepted explanations, because of the computational complexity of solving simplified theoretical models designed to capture their relevant physics. Feynman suggested solving such models by "quantum simulation" with a device designed to obey the same quantum many-body dynamics. So far, the community has mostly focused on developing the \emph{controllability} of quantum simulators.
Phys. Rev. Lett. 106, 040401 (2011)