Quantum Computation

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  • Lectures notes

• Article presentation 06/01/2025

  The exam consists in a talk based on the presentation of a research paper. You will give a talk based on one or several of the following articles. the presentation will be 15 minutes long. The main points that you will try to cover are :

  • The state of the art or the context before the publication of the work.

  • What is the motivation of the work ? What is the specific contribution of the work presented in the article ?

  • Did this work have any consequences or was it a source of inspiration for the works that followed it ?

  • Why did you choose this specific paper ?

  • Try to present in detail some formal aspects presented in the paper.

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  General papers

  • Optimal cloning of pure states

  • Optimal Quantum Cloning on a Beam Splitter

  • Quantum teleportation is a universal computational primitive

  • Methodology for quantum logic gate construction

  • Usefulness of an enhanced Kitaev phase-estimation algorithm in quantum metrology and computation

  Measurement based quantum computer

  • The one-way quantum computer -- a non-network model of quantum computation

  Error correction

  • Surface codes: Towards practical large-scale quantum computation

  • Quantum Error Correction Via Codes Over GF (4)

  • Realization of an Error-Correcting Surface Code with Superconducting Qubits

  Bell inequalities

  • Quantum networks reveal quantum nonlocality

  • Quantum nonlocality in networks can be demonstrated with an arbitrarily small level of independence between the sources

  Continuous variables

  • Encoding a qubit in an oscillator
  • Efficient Classical Simulation of Continuous Variable Quantum Information Processes

  Quantum machine learning

  • Polyadic Quantum Classifier
  • Differentiable Learning of Quantum Circuit Born Machine
  • Training of quantum circuits on a hybrid quantum computer

  Quantum advantage

  Superconductor circuits

  • Quantum supremacy using a programmable superconducting processor
  • Strong Quantum Computational Advantage Using a Superconducting Quantum Processor

  Photons

  • Quantum computational advantage with a programmable photonic processor
  • Quantum computational advantage using photons