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arXiv · 2105.14581

Simulating of X-states and the two-qubit XYZ Heisenberg system on IBM quantum computer

Fereshte Shahbeigi·Mahsa Karimi·Vahid Karimipour
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Abstract

Two qubit density matrices, which are of X-shape, are a natural generalization of Bell Diagonal States (BDSs) recently simulated on the IBM quantum device. We generalize the previous results and propose a quantum circuit for simulation of a general two qubit X-state, implement it on the same quantum device, and study its entanglement for several values of the extended parameter space. We also show that their X-shape is approximately 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.

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Fereshte Shahbeigi, Mahsa Karimi, Vahid Karimipour. 2022-01-20. Simulating of X-states and the two-qubit XYZ Heisenberg system on IBM quantum computer. https://doi.org/10.1088/1402-4896%2Fac49b0

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