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Dynamically Correcting a CNOT Gate for any Systematic Logical Error.

F A Calderon-Vargas1, J P Kestner1

  • 1Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA.

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Summary
This summary is machine-generated.

We developed new composite pulse sequences for creating controlled-NOT (CNOT) gates. These sequences correct systematic errors in quantum computing, improving the fidelity of two-qubit operations.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Quantum Error Correction

Background:

  • Two-qubit gates are essential for universal quantum computation.
  • Systematic errors and noise in two-qubit interactions limit quantum gate fidelity.
  • Existing methods often struggle to correct errors across various quantum hardware.

Purpose of the Study:

  • To develop novel composite pulse sequences for high-fidelity CNOT gate generation.
  • To provide a method for correcting systematic errors in the logical subspace to arbitrary order.
  • To create a broadly applicable technique for diverse two-qubit interaction Hamiltonians.

Main Methods:

  • Derivation of composite pulse sequences tailored for CNOT gate synthesis.
  • Application of sequences to arbitrary two-qubit interaction Hamiltonians.
  • Error correction strategy effective for noise constant on the operation timescale.

Main Results:

  • Generation of CNOT gates with systematic error correction to arbitrary order.
  • Sequences are robust to various two-qubit interaction types.
  • Performance is primarily limited by the fidelity of single-qubit gates.

Conclusions:

  • The derived pulse sequences offer a powerful tool for enhancing two-qubit gate fidelity in quantum computing.
  • This method provides significant dynamical error correction for a wide range of coupled qubit systems.
  • The approach is practical, leveraging the typically higher fidelity of single-qubit gates.