Variational determination of multi-qubit geometrical entanglement in NISQ computers

• URL: http://arxiv.org/abs/2110.03709v2
• Date: Thu, 28 Apr 2022 12:00:30 GMT
• Title: Variational determination of multi-qubit geometrical entanglement in NISQ computers
• Authors: A. D. Mu\~noz-Moller, L. Pereira, L. Zambrano, J. Cort\'es-Vega, and A. Delgado
• Abstract summary: Current noise levels in physical realizations of qubits and quantum operations limit the applicability of conventional methods to characterize entanglement. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 $3$, $4$, and $5$ 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 $25$ qubits.

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