10820PHYS401200

電腦與計算物理 Computational Physics

Instructor

• Prof. Pochung Chen.
• R521, Physics building.
• pcchen {at} phys {dot} nthu {dott} edu {dot} tw .

Time

• M5M6M7.

Room

• R501, Physics building.

Syllabus

Development Environment Setup

Check list

• Python: Anaconda Python Distribution.

  • Python packages: numpy scipy jupyterlab matplotlib.
• Git: Git for windows/mac.

Python 3

• Install Anaconda Python Distribution, Python 3.x version.

  • “Just Me” (Windows), Install for me only (macOS).
• Use conda to create a virtual environment. conda 4.7.x

  • Starting conda.

    • Window: From the Start menu, search for and open "Anaconda Prompt."
  • Managing environments

    • Check conda version: conda --version

      • conda update -n base -c defaults conda
    • Create a new environment: conda create --name mydev
    • To use, or "activate" the new environment: conda activate mydev

      • conda install numpy scipy jupyterlab matplotlib
    • To see a list of all your packages: conda list
    • To see a list of all your environments: conda info --envs
    • Change your current environment back to the default (base): conda activate

Packages and references

• Numpy
• SciPy
• JupyterLab
• Matplotlib
• Scipy Lecture Notes

Tensor Network related

• Install pyuni10 (v2.1.2) from anaconda cloud.

  • `conda install -c uni10 pyuni10'

Git version control system

• Git official website
• git clone URL
• git status
• git add filenames
• git commit
• git push

Github

• NTHU-Phys-Qubit
• 10820PHYS401200

Reference

• Introduction to Monte Carlo methods for an Ising Model of a Ferromagnet by Jacques Kotze.
• Everything You Wanted to Know About Data Analysis and Fitting but Were Afraid to Ask by Peter Young.

  • arXiv version.
• Computational Studies of Quantum Spin Systems by Anders W. Sandvik.
• The density-matrix renormalization group in the age of matrix product states by Ulrich Schollwöck.
• Prof. Frank Pollmann

  • comp-phys
• Prof. Xin Wan

  • Understand the MPS formalism and the iTEBD algorithm
• Note for iTEBD
• Supervised Learning with Quantum-Inspired Tensor Networks.

  • Sample codes
• Learning Relevant Features of Data with Multi-scale Tensor Networks
• Unsupervised Generative Modeling Using Matrix Product States
• Deep Learning and Quantum Programming" Spring School @ Song Shan Lake
• Towards Quantum Machine Learning with Tensor Networks
• Tree Tensor Networks for Generative Modeling

Python

• Python.org

  • Anaconda Distribution

    • Download
• Jupyter
• Numpy
• Matplotlib
• PyFormat
• UNI10 Universal Tensor Network Library.

  • Tor10 A Generic Tensor-Network library that is designed for quantum simulation, base on the pytorch.

Git & Github repository

Homework

• Homework-1 GitHub Classroom link, due on 4/13/2020.
• Homework-2 GitHub Classroom link, due on 4/13/2020.
• Homework-3 GitHub Classroom link

  • https://journals.aps.org/pr/abstract/10.1103/PhysRev.185.832
• Homework-4 GitHub Classroom link

  • https://journals.aps.org/prb/abstract/10.1103/PhysRevB.86.045139
• Homework-5 GitHub Classroom link

Weekly schedule

• Week 1: 3/2/2020

  • Introduction.
  • Development environment.
• Week 2: 3/9/2020

  • Numpy, Matplotlib.
  • Git.
• Week 3: 3/16/2020

  • NumPy linear albegra: numpy.linalg
  • Random walk.
  • Ising model.
• Week 4: 3/23/2020

  • Transfer matrix for classical 1D Ising model.
  • YouTube
  • Note
• Week 5: 3/30/2020

  • Transfer matrix for classical 1D Ising model.
  • YouTube
  • Note
• Week 6: 4/6/2020 (No class)

  • 校際活動週(停課一日)
• Week 7: 4/13/2020

  • YouTube
  • Note
  • Tensor network diagram.
  • Tensor renormalization group.
  • Singular value decomposition.
  • HW1, HW2 due.
• Week 8: 4/20/2020

  • YouTube
  • Note
  • 2D Ising model, exact solution.
  • 2D Ising model, tensor network representation.
• Week 9: 4/27/2020

  • Note
• Week 10: 5/4/2020

  • Note
• Week 11: 5/11/2020

  • Note
• Week 12: 5/18/2020

  • YouTube
  • Note
• Week 13: 5/25/2020
• Week 14: 6/1/2020

  • Note
• Week 15: 6/8/2020

  • Note
• Week 16: 6/15/2020
• Week 17: 6/22/2020