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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Quon 3D language for quantum information.

Zhengwei Liu1, Alex Wozniakowski1, Arthur M Jaffe2

  • 1Harvard University, Cambridge, MA 02138.

Proceedings of the National Academy of Sciences of the United States of America
|February 8, 2017
PubMed
Summary
This summary is machine-generated.

We introduce a 3D topological picture-language for quantum information using charged string excitations. This framework offers a novel 3D representation for quantum gates and teleportation protocols.

Keywords:
joint relationpicture-languagequantum informationquon languagetopological algebra

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Area of Science:

  • Quantum Information Science
  • Topological Quantum Computing
  • Mathematical Physics

Background:

  • Topological quantum information theories often utilize lower-dimensional models.
  • Existing frameworks for quantum gates and protocols can be complex.
  • Tensor networks commonly employ C*-Hopf algebra relations.

Purpose of the Study:

  • To develop a 3D topological picture-language for quantum information.
  • To provide a novel geometric interpretation of quantum information processing.
  • To simplify representations of quantum gates and protocols.

Main Methods:

  • Embedding charged string excitations within a 3D manifold with boundary.
  • Defining composite particles (quons) as hemispheres with charged open strings.
  • Deriving a 'string-genus joint relation' from the 3D topological structure.

Main Results:

  • A topological interpretation of C*-Hopf algebra relations used in tensor networks.
  • A simplified 3D representation of the controlled NOT (CNOT) gate.
  • A novel 3D topological protocol for quantum teleportation.

Conclusions:

  • The 3D topological picture-language provides a powerful new framework for quantum information.
  • This approach offers geometric insights into quantum computation and communication.
  • The developed methods simplify complex quantum operations and protocols.