19 citations · 160 across the 18 of their papers we have counts for
4 papers · 1 filter
Noisy Toric code and random bond Ising model: The error threshold in a dual picture
Mohammad Hossein Zarei, Abolfazl Ramezanpour
It is known that noisy topological quantum codes are related to random bond Ising models where the order-disorder phase transition in the classical model is mapped to the error thr…
Ising order parameter and topological phase transitions: Toric code in a uniform magnetic field
Mohammad Hossein Zarei
Quantum Ising model in a transverse field is of the simplest quantum many body systems used for studying universal properties of quantum phase transitions. Interestingly, it is wel…
Classical criticality establishes quantum topological order
Mohammad Hossein Zarei, Afshin Montakhab
We establish an important duality correspondence between topological order in quantum many body systems and criticality in ferromagnetic classical spin systems. We show how such a…
Phase transition in a noisy Kitaev toric code model
Mohammad Hossein Zarei, Afshin Montakhab
It is well-known that the partition function of a classical spin model can be mapped to a quantum entangled state where some properties on one side can be used to find new properti…