English

Variational determination of multi-qubit geometrical entanglement in NISQ computers

Quantum Physics 2022-09-16 v2

Abstract

Current noise levels in physical realizations of qubits and quantum operations limit the applicability of conventional methods to characterize entanglement. In this adverse scenario, we follow a quantum variational approach to estimate the geometric measure of entanglement of multiqubit pure states. The algorithm requires only single-qubit gates and measurements, so it is well suited for NISQ devices. This is demonstrated by successfully implementing the method on IBM Quantum devices for Greenberger-Horne-Zeilinger states of 33, 44, and 55 qubits. Numerical simulations with random states show the robustness and accuracy of the method. The scalability of the protocol is numerically demonstrated via matrix product states techniques up to 2525 qubits.

Keywords

Cite

@article{arxiv.2110.03709,
  title  = {Variational determination of multi-qubit geometrical entanglement in NISQ computers},
  author = {A. D. Muñoz-Moller and L. Pereira and L. Zambrano and J. Cortés-Vega and A. Delgado},
  journal= {arXiv preprint arXiv:2110.03709},
  year   = {2022}
}