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Optimization two-qubit quantum gate by two optical control methods in molecular pendular states.

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This study demonstrates high-fidelity quantum gates using polar molecules and optimal control theory. Methods achieve excellent performance for CNOT and SWAP gates, crucial for quantum computing.

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Area of Science:

  • Quantum Information Science
  • Molecular Physics
  • Quantum Control

Background:

  • Quantum gates are essential for quantum computations.
  • Polar molecules offer a physical platform for implementing quantum gates.
  • Pendular states in molecular systems are investigated for gate implementation.

Purpose of the Study:

  • To investigate the feasibility of implementing quantum gates using pendular states of polar molecules.
  • To optimize control fields for high-fidelity quantum gate operations.
  • To explore different optimal control theories for quantum gate realization.

Main Methods:

  • Utilizing Multi-Target optimal control theory (MT-OCT) and Multi-Constraint optimal control theory (MC-OCT).
  • Applying these theories to optimize control fields for quantum gates.
  • Investigating gate fidelity dependence on energy differences within the molecular system.

Main Results:

  • High fidelity (0.975) achieved for the controlled NOT gate (CNOT) using MT-OCT.
  • Very high fidelity (0.999) achieved for CNOT using MC-OCT.
  • High fidelity (0.999) achieved for the SWAP gate using MC-OCT with specific constraints.

Conclusions:

  • Optimal control theories are effective for implementing high-fidelity quantum gates in polar molecular systems.
  • The MC-OCT method shows superior performance for CNOT gate realization.
  • The study confirms the potential of molecular systems for advanced quantum computations.