Simulating of X-states and the Two-qubit XYZ Heisenberg System on IBM Quantum Computer

Please enable javascript in your browser.

Karimi, Mahsa | 2021

795 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 54186 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Karimipour, Vahid
Abstract:
Two qubit density matrices which are of X-shape, are a natural generalization of Bell Diagonal States recently simulated on the IBM quantum device. We propose a quantum circuit for simulation of a general X-state on the same quantum device and study its properties for several values of the extended parameter space. We also show by specific measurements, that their X-shape is robust against noisy quantum gates. To further physically motivate this study, we invoke the two-spin Heisenberg XYZ system and show that for a wide class of initial states, it leads to dynamical density matrices which are X-states. Due to the symmetries of this Hamiltonian, we show that by only two qubits, one can simulate the dynamics of this system on the IBM quantum computer
Keywords:
Quantum Correlation ; Quantum Simulation ; IBM Quantum Computer ; X-States ; Heisenberg Model