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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Time-Optimal Transfer of the Quantum State in Long Qubit Arrays.

Andrei A Stepanenko1,2, Kseniia S Chernova2, Maxim A Gorlach2

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Researchers developed an optimal control strategy for large qubit arrays, achieving maximum quantum state transfer fidelity and minimal time. This breakthrough pushes the boundaries of quantum computing speed and efficiency.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Condensed Matter Physics

Background:

  • Fabrication of large coupled qubit arrays is advancing, creating prototypes for quantum processors.
  • Optimal control of these large-scale quantum systems is a significant challenge, hindering their potential.
  • Quantum state transfer in qubit arrays is crucial for quantum computation and communication.

Purpose of the Study:

  • To investigate quantum state transfer in a large nearest-neighbor-coupled qubit array.
  • To derive an optimal control strategy for maximizing fidelity and minimizing transfer time.
  • To explore the quantum speed limit in lattices with dynamic couplings.

Main Methods:

  • Modeling of quantum state transfer in a large nearest-neighbor-coupled qubit array.
  • Derivation of an optimal control strategy using theoretical analysis.
  • Analysis of time-varying couplings in a quantum lattice system.

Main Results:

  • An optimal control strategy was successfully derived for the investigated qubit array model.
  • The strategy achieves simultaneous maximal fidelity and minimal transfer time for quantum states.
  • The derived control strategy reaches the quantum speed limit in a lattice with time-varying couplings.

Conclusions:

  • The developed optimal control strategy overcomes key challenges in large-scale quantum systems.
  • This approach significantly enhances the efficiency and speed of quantum state transfer.
  • The findings pave the way for more powerful and efficient quantum processors.