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Error Mitigation and Quantum-Assisted Simulation in the Error Corrected Regime.

M Lostaglio1,2, A Ciani1,3

  • 1QuTech, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands.

Physical Review Letters
|December 3, 2021
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Summary
This summary is machine-generated.

This study introduces the quantum-assisted robustness of magic (QROM) to quantify the value of imperfect quantum resources. The QROM helps bridge the gap between classical simulations and ideal quantum computing by using noisy magic states.

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Area of Science:

  • Quantum Information Science
  • Theoretical Computer Science

Background:

  • Quantum computing relies on universal sets of operations, often achieved by adding "magic" quantum states to classically simulable ones.
  • Nonideal, or noisy, magic states present a challenge in practical quantum computation.

Purpose of the Study:

  • To develop a general framework for evaluating the utility of nonideal magic quantum resources.
  • To introduce a quantifiable metric for the overhead associated with using imperfect magic states.

Main Methods:

  • Development of the quantum-assisted robustness of magic (QROM) as a key metric.
  • Extension of error mitigation techniques to logically encoded qubits.
  • Utilizing quasiprobability-based simulation methods.

Main Results:

  • The QROM quantifies the simulation overhead when using nonideal magic resources instead of ideal ones.
  • Noisy magic resources can enhance classical quasiprobability simulations of quantum circuits.
  • Explicit protocols are constructed that interpolate between classical simulation and ideal quantum computation.

Conclusions:

  • The QROM provides a valuable tool for understanding and utilizing imperfect quantum resources.
  • This framework extends error mitigation to logical qubits, advancing practical quantum computing.
  • The research facilitates a smoother transition from classical simulation to fault-tolerant quantum computation.