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Electrodynamics-based quantum gate optimization with born scattering.

Kumar Gautam1, Chang Wook Ahn2,3

  • 1Quantum Computing Lab, Quantum Research And Centre of Excellence, New Delhi, India.

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|October 29, 2024
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Summary
This summary is machine-generated.

This study introduces a novel method using electron scattering to create three-qubit controlled unitary quantum gates. The developed algorithm optimizes gate design by minimizing errors under energy constraints, advancing quantum computing and related fields.

Keywords:
Dyson SeriesElectron ScatteringLagrange’s multiplier methodQuantum ElectrodynamicsQuantum Gate Design

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Atomic, Molecular, and Optical Physics

Background:

  • Quantum gates are fundamental building blocks for quantum computation.
  • Developing efficient and controllable multi-qubit gates is crucial for scaling quantum computers.
  • Electron scattering offers a potential physical mechanism for implementing quantum operations.

Purpose of the Study:

  • To propose and develop a method for realizing three-qubit controlled unitary quantum gates using electron scattering.
  • To derive an expression for the transition amplitude applicable to gate design.
  • To establish an algorithm for designing and optimizing these quantum gates.

Main Methods:

  • Utilizing Feynman's rules to derive transition amplitudes for electron scattering.
  • Modeling the scattering amplitude as a controllable unitary gate.
  • Employing an optimization approach to find the optimal vector potential by minimizing gate discrepancies under energy constraints.
  • Discretizing integral equations into vector equations to form a design algorithm.

Main Results:

  • An expression for the transition amplitude of electron scattering from an electromagnetic source was derived.
  • A method to model this scattering amplitude as a regulatable unitary gate was established.
  • An algorithm for designing three-qubit controlled unitary gates was developed, considering energy efficiency.

Conclusions:

  • The proposed electron scattering method provides a viable approach for realizing controlled three-qubit unitary quantum gates.
  • The developed design algorithm is applicable to quantum computing, communication, and sensing.
  • This work contributes to the advancement of practical quantum technologies and large-scale quantum computing through efficient gate design.