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

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.

Close to published version

References in corpus (7)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Entanglement universality of two-qubit X-states
• Entanglement in highly symmetric multipartite quantum states
• Maximally entangled mixed states for qubit-qutrit systems
• Experimental Realization of Secure Multiparty Quantum Summation Using Five-Qubit IBM Quantum Computer on Cloud
• Maximally genuine multipartite entangled mixed X-states of N-qubits

Cited by in corpus (2)

• Simulation of the 1d XY model on a quantum computer
• Classical State Detection Using Quantum State Tomography