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This study introduces a non-Markovian quantum error mitigation (QEM) cost function for noisy quantum computers. It links environmental coupling strength to QEM effectiveness, crucial for advancing quantum computing.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Mitigation

Background:

  • Noisy Intermediate-Scale Quantum (NISQ) devices require effective quantum error mitigation (QEM).
  • Non-Markovian noise, prevalent in solid-state quantum computers, poses a significant challenge.
  • Understanding environmental interactions is key to improving quantum state fidelity.

Purpose of the Study:

  • To investigate a non-Markovian cost function for quantum error mitigation.
  • To model quantum state evolution under non-Markovian noise.
  • To utilize Dirac Gamma matrices for analyzing two-qubit operators in QEM.

Main Methods:

  • Developed a non-Markovian model for quantum state evolution.
  • Proposed a QEM cost function based on the non-Markovian model.
  • Employed Dirac Gamma matrices to represent and analyze two-qubit operators.
  • Evaluated output quantum state fluctuations for identity and SWAP gates.
  • Compared simulation results with experimental data from ion-trap and superconducting systems.

Main Results:

  • Established a direct relationship between environmental coupling strength and the QEM cost function.
  • Demonstrated the utility of Gamma matrices in analyzing two-qubit operators.
  • Derived essential QEM cost function parameters by comparing with experimental data.
  • Quantified the impact of non-Markovian noise on quantum state evolution.

Conclusions:

  • Non-Markovian models are crucial for accurate quantum state evolution analysis.
  • The proposed QEM cost function effectively assesses mitigation strategies.
  • Findings provide insights for improving QEM in NISQ devices.
  • Environmental coupling is a critical factor in QEM performance.