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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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State transfer in chiral quantum walks.

Antonio Acuaviva1, Ada Chan2, Summer Eldridge3

  • 1Lancaster University, Lancaster, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 9, 2025
PubMed
Summary
This summary is machine-generated.

Chiral quantum walks enable efficient quantum state transfer by overcoming transport limitations. New methods achieve perfect transfer in large graphs, demonstrating novel violations of periodicity and one-way transport.

Keywords:
quantum computingquantum state transferquantum walks

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Theoretical computer science

Background:

  • Chiral quantum walks are an emerging tool for quantum state transfer.
  • They offer a way to circumvent no-go theorems in quantum transport.
  • However, chiral quantum walks remain largely unexplored.

Purpose of the Study:

  • To investigate universal monogamy violations for perfect quantum transfer in large graphs.
  • To construct new monogamy violations on sparse graph products.
  • To explore novel violations of periodicity and one-way perfect quantum transfer.

Main Methods:

  • Proving a conjecture regarding couplings required for universal monogamy violations.
  • Developing constructions for monogamy violations on sparse graph products.
  • Demonstrating one-way perfect quantum transfer via transcendental couplings.

Main Results:

  • Universal monogamy violations for perfect quantum transfer in large graphs require couplings beyond the simple imaginary [Formula: see text].
  • New monogamy violations were constructed on sparse graph products.
  • A novel violation of periodicity and the first known examples of one-way perfect quantum transfer via transcendental couplings were shown.

Conclusions:

  • The study advances the understanding of chiral quantum walks for state transfer.
  • New theoretical frameworks and examples of quantum transport phenomena were established.
  • This work opens avenues for novel quantum algorithms and transport protocols.