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Non-adaptive measurement-based quantum computation on IBM Q.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing Hardware Verification

Background:

  • Multipartite entanglement is a key resource in quantum information processing.
  • Verifying the quantum nature of complex entangled states is crucial for advancing quantum technologies.
  • Non-adaptive measurement-based quantum computation (NMQC) offers a method to detect multipartite entanglement via Bell inequality violations.

Purpose of the Study:

  • To assess the quantum capabilities of IBM's Quantum System One.
  • To investigate n-party entanglement in generalized GHZ states using NMQC.
  • To demonstrate NMQC as a tool for characterizing quantum devices.

Main Methods:

  • Generation of generalized n-qubit GHZ states on IBM Quantum System One.
  • Measurement of Bell inequalities derived from NMQC protocols.
  • Computation of multivariate Boolean functions to distinguish quantum correlations from local hidden variables (LHVs).

Main Results:

  • Violation of Bell inequalities observed for up to seven qubits.
  • Demonstrated the capability of NMQC to compute non-linear Boolean functions on a quantum processor.
  • Comparison of results with a photon-based NMQC implementation.

Conclusions:

  • IBM Quantum System One exhibits quantum correlations indicative of multipartite entanglement.
  • NMQC serves as an effective method for characterizing the quantumness of quantum devices.
  • The study confirms the potential of NMQC for verifying complex quantum states.