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

Shahbeigi, F ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1088/1402-4896/ac49b0
  3. Publisher: IOP Publishing Ltd , 2022
  4. Abstract:
  5. 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. © 2022 IOP Publishing Ltd
  6. Keywords:
  7. IBM ; Simulation ; X-states ; XYZ Heisenberg ; Hamiltonians ; Quantum entanglement ; Quantum optics ; Density matrix ; Heisenberg ; Heisenberg system ; IBM ; Quanta computers ; Quantum device ; Simulation ; Two-qubit ; X-state ; XYZ heisenberg ; Qubits
  8. Source: Physica Scripta ; Volume 97, Issue 2 , 2022 ; 00318949 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/1402-4896/ac49b0