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Time Evolution of an Infinite Projected Entangled Pair State: an Efficient Algorithm
Piotr Czarnik, Jacek Dziarmaga, Philippe Corboz
An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimens…
Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
Aritra Sinha, Marek M. Rams, Jacek Dziarmaga
The Aubry-André 1D lattice model describes a particle hopping in a pseudo-random potential. Depending on its strength , all eigenstates are either localized () or delocaliz…
Quantum neural networks to simulate many-body quantum systems
Bartłomiej Gardas, Marek M. Rams, Jacek Dziarmaga
We conduct experimental simulations of many body quantum systems using a \emph{hybrid} classical-quantum algorithm. In our setup, the wave function of the transverse field quantum…
Time Evolution of an Infinite Projected Entangled Pair State: an Algorithm from First Principles
Piotr Czarnik, Jacek Dziarmaga
A typical quantum state obeying the area law for entanglement on an infinite 2D lattice can be represented by a tensor network ansatz -- known as an infinite projected entangled pa…