19 citations · 160 across the 18 of their papers we have counts for
19 papers
Shot-based variational simulation of the toric code phase transition: Energy, global entanglement, and noise resilience
Hayede Zarei, Mohammad Hossein Zarei
We investigate the capability of variational quantum circuits in detecting a topological phase transition within the toric code model subjected to a uniform magnetic field. The det…
Layer-by-layer disentangling two-dimensional topological quantum codes
Mohammad Hossein Zarei, Mohsen Rahmani Haghighi
While local unitary transformations are used for identifying quantum states which are in the same topological class, non-local unitary transformations are also important for studyi…
Conditional global entanglement in a Kosterlitz-Thouless quantum phase transition
Elahe Samimi, Mohammad Hossein Zarei, Afshin Montakhab
Entanglement is known as an important indicator for characterizing different types of quantum phase transitions (QPTs), however it faces some challenges in the Kosterlitz-Thouless…
Foliated order parameter in a fracton phase transition
Mohammad Hossein Zarei, Mohammad Nobakht
Finding suitable indicators for characterizing quantum phase transitions plays an important role in understanding different phases of matter. It is especially important for fracton…
Global entanglement in a topological quantum phase transition
Elahe Samimi, Mohammad Hossein Zarei, Afshin Montakhab
A useful approach to characterize and identify quantum phase transitions lies in the concept of multipartite entanglement. In this paper, we consider well-known measures of multipa…
Topological line in frustrated Toric code models
M. H. Zarei, J. Abouie
Typical topological systems undergo a topological phase transition in the presence of a strong enough perturbation. In this paper, we propose an adjustable frustrated Toric code wi…
Kosterlitz-Thouless phase and topological quantum phase
Mohammad Hossein Zarei
It has been known that encoding Boltzmann weights of a classical spin model in amplitudes of a many-body wave function can provide quantum models whose phase structure is character…
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…
A strong-weak coupling duality between two perturbed quantum many-body systems: CSS codes and Ising-like systems
Mohammad Hossein Zarei
Graphs and recently hypergraphs have been known as an important tool for considering different properties of quantum many-body systems. In this paper, we study a mapping between an…
Dual correspondence between classical spin models and quantum CSS states
Mohammad Hossein Zarei, Afshin Montakhab
The correspondence between classical spin models and quantum states has attracted much attention in recent years. However, it remains an open problem as to which specific spin mode…
General scheme for preparation of different topological states on the cluster states
Mohammad Hossein Zarei
Although it is well known that all quantum states can be produced by single qubit measurements on the cluster states, it is not a simple task to explicitly find which measurement p…
Systematic study of the completeness of two-dimensional classical theory
Mohammad Hossein Zarei, Yahya Khalili
The completeness of some classical statistical mechanical (SM) models is a recent result that has been developed by quantum formalism for the partition functions. In this paper, we…
A quantum phase transition from to topological order
Mohammad Hossein Zarei
Although the topological order is known as a quantum order in quantum many-body systems, it seems that there is not a one-to-one correspondence between topological phases and quant…
On the robustness of topological quantum codes: Ising perturbation
Mohammad Hossein Zarei
We study the phase transition from two different topological phases to the ferromagnetic phase by focusing on points of the phase transition. To this end, we present a detailed map…
An algorithmic proof for the completeness of two-dimensional Ising model
V. Karimipour, M. H. Zarei
We show that the two dimensional Ising model is complete, in the sense that the partition function of any lattice model on any graph is equal to the partition function of the 2D Is…
Completeness of classical theory on 2D lattices
Vahid Karimipour, Mohammad Hossein Zarei
We formulate a quantum formalism for the statistical mechanical models of discretized field theories on lattices and then show that the discrete version of theory on 2D squar…