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Light cone cancellation for variational quantum eigensolver in solving noisy Max-Cut.

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The Light Cone Cancellation (LCC) method reduces qubits and gates in Variational Quantum Eigensolver (VQE) algorithms. LCC-VQE effectively mitigates noise in quantum hardware, improving performance on large-scale problems like Max-Cut.

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Area of Science:

  • Quantum Computing
  • Computational Chemistry
  • Optimization Algorithms

Background:

  • Variational Quantum Eigensolver (VQE) is a hybrid algorithm for estimating ground state energies.
  • Large-scale problems necessitate reduced qubit and gate counts for efficient simulation and noise mitigation.
  • The Light Cone Cancellation (LCC) method offers a way to simplify quantum circuits.

Purpose of the Study:

  • To demonstrate the effectiveness of the LCC method when applied to VQE (LCC-VQE).
  • To showcase LCC-VQE's ability to mitigate noise in quantum hardware for large-scale problems.
  • To evaluate LCC-VQE's performance on the Max-Cut problem.

Main Methods:

  • Applied the Light Cone Cancellation (LCC) method to a two-local ansatz for VQE.
  • Utilized simulations on noisy 7-qubit and 27-qubit backends to model quantum hardware noise.
  • Tested LCC-VQE on the Max-Cut problem for up to 100 qubits.

Main Results:

  • LCC-VQE demonstrated higher approximation ratios compared to standard VQE on noisy simulations.
  • The application of LCC effectively mitigated the impact of device noise.
  • A single-layer two-local ansatz with LCC performed best among tested configurations.

Conclusions:

  • LCC-VQE is a promising approach for noise mitigation in quantum computing.
  • The method enables solving larger problems with reduced resource requirements.
  • LCC-VQE shows potential for practical applications in quantum optimization.