All learning material and teaching schedule pertinent to the course is avaliable at this GitHub address. A simple git clone of the material gives you access to all lecture notes and program examples. Similarly, running a git pull gives you immediately the latest updates.

Recent developments in quantum information systems and technologies offer the possibility to address some of the most challenging large-scale problems in science, whether they are represented by complicated interacting quantum mechanical systems or classical systems. The last years have seen a rapid and exciting development in algorithms and quantum hardware. The emphasis of this summer school is to highlight, through a series of lectures and hands-on exercises and practice sessions, how quantum computing algorithms can be used to study nuclear few- and many-body problems of relevance for low-energy nuclear physics. And how quantum computing algorithms can aid in studying systems with increasingly many more degrees of freedom compared with more classical few- and many-body methods. Several quantum algorithms for solving quantum-mechanical few- and many-particle problems with be discussed. The lectures will start with the basic ideas of quantum computing. Thereafter, through examples from nuclear physics, we will elucidate how different quantum algorithms can be used to study these systems. The results from various quantum computing algorithms will be compared to standard nuclear few- and many-body methods.

Alexei Bazavov (MSU), Scott Bogner (MSU), Heiko Hergert (MSU), Matthew Hirn (MSU), Morten Hjorth-Jensen (MSU), Dean Lee (MSU), Huey-Wen Lin (MSU), and Andrea Shindler (MSU)

Morten Hjorth-Jensen, [email protected]

• Basic elements of quantum computing (first day) with introduction to relevant software, including

  • Introduction to quantum computing, qubits and systems of qubits
  • Measurements, Superposition and Entanglement
  • Gates, unitary transformations and quantum circuits
  • Quantum algorithms and implementation on a real quantum computer

• Simulating quantum-mechanical few- and many-body systems

  • Quantum algorithms for quantum mechanical systems
  • Quantum simulation of the Schroedinger equation
  • Quantum computing and nuclear few- and many-body systems
  • Quantum state preparation and Quantum simulations
  • Quantum simulations on a real quantum computer

• Quantum error correction and mitigation

All of the above topics will be supported by examples, hands-on exercises and project work.

1. Lectures Monday through Wednesday, starting at 830am, see schedule below
2. Hands-on sessions before lunch and in the afternoons till 6pm
3. For all lecture days we provide relevant jupyter-notebooks you can work on
4. Lectures are in auditorium 1200. Hands-on sessions will be in both the main lecture hall 1200 and in rooms 1221 A & B (12 noon - 6 pm) and room 1309 (8:30am-6pm).

• Qiskit textbook, free online, see https://qiskit.org/textbook/preface.html
• Scherer, The Mathematics of Quantum Computing, see https://link.springer.com/book/10.1007/978-3-030-12358-1
• Chuang and Nielsen, Quantum Computation and Quantum Information, https://www.cambridge.org/highereducation/books/quantum-computation-and-quantum-information/01E10196D0A682A6AEFFEA52D53BE9AE#overview
• Hundt, Quantum Computing for programmers, https://www.cambridge.org/core/books/quantum-computing-for-programmers/BA1C887BE4AC0D0D5653E71FFBEF61C6

With the hands-on programming component we strongly recommend that you install Qiskit on your computer before the school starts.

• For Qiskit, follow the instructions at https://qiskit.org/documentation/getting_started.html
• We strongly recommend using the Jupyter notebook environment at https://quantum-computing.ibm.com/. This environment has Qiskit already set up and is free, just requires an email to register. It has built in support for Jupyter notebooks and should be sufficient for everything needed.
• See also Ryan Larose's (from 2019) Quantum computing bootcamp with Qiskit - https://github.com/rmlarose/qcbq.
• See also https://www.ryanlarose.com/external-resources.html

• Adam Smith, M. S. Kim, Frank Pollmann, and Johannes Knolle, Simulating quantum many-body dynamics on a current digital quantum computer, NPJ Quantum Information 5, Article number: 106 (2019), see https://www.nature.com/articles/s41534-019-0217-0

The duration of each lecture is approximately 45-50 minutes and there is a small break of 10-15 minutes between each lecture. Longer breaks at 1030am-11am and 3pm-330pm, except for Monday where there is also the possibility fora guided FRIB tour. In-person attendance is the main teaching modus, but lectures and hands-on sessions will be broadcasted via zoom for those who cannot attend in person. The zoom link will be sent to those who have expressed that they cannot attend in person. The lectures will also be recorded.

• AB = Alexei Bazavov
• BH = Benjamin Hall
• DJ = Danny Jammoa (online discussions and hands-on sessions)
• DL = Dean Lee
• JW = Jacob Watkins
• JB = Joey Bonitati
• MHJ = Morten Hjorth-Jensen
• RL = Ryan Larose
• ZQ - Zhenrong Qian

• 8am-830am: Welcome and registration
• 830am-930am: Introduction to quantum computing, qubits, gates and superposition (AB), link to video https://youtu.be/D28hCiG6PN0
• 930am-1030am: Quantum circuits, entanglement and measurements (AB), link to video at https://mediaspace.msu.edu/media/t/1_szys9mg5
• 1030am-11am: Break, coffee, tea etc
• 11am-12pm: Hands-on session with applications and introduction to software libraries (RL, JW), no video for hands-on sessions.
• 12pm-1pm: Lunch (shorter lunch, else 1h30m lunches)
• 1pm-2pm: Algorithms for quantum dynamics (DL), simple problems. Link to video at https://mediaspace.msu.edu/media/t/1_zduw1azy
• 2pm-3pm: Quantum phase estimation and adiabatic evolution (ZQ and JB), simple problems. Link to video at https://mediaspace.msu.edu/media/t/1_8egtqndg
• 3pm-4pm: Break, coffee, tea or tour for FRIB for those interested. Please let us know if you are interested in a tour of FRIB.
• 4pm-6pm: Hands-on sessions, quantum dynamics (JW, JB, ZQ, DL & all)

• 830-930am: Hamiltonian simulation: a general overview (JW)
• 930am-1030am: Introduction to VQE and simple model (BH)
• 1030am-11am: Break, coffee, tea etc
• 11am-12pm: Many-body theory and nuclear few- and many-body systems (BH and MHJ)
• 12pm-130pm: Lunch
• 130pm-230pm: Quantum algorithms (VQE) and nuclear physics with applications (BH and MHJ), part 1
• 230pm-330pm: Quantum algorithms (VQE) and nuclear physics with applications (BH and MHJ), part 2
• 330pm-4pm: Break, coffee, tea etc
• 4pm-6pm: Hands-on sessions and problem solving (BH, JW & all)

• 830am-930am: Noise, error correction and mitigation, part I (RL), video of lecture of Ryan at https://youtu.be/kTEId-fQhFY
• 930am-1030am: Noise, error correction and mitigation, part II (RL), video of lecture of Ryan at https://youtu.be/kTEId-fQhFY
• 1030am-11am: Break, coffee, tea etc
• 11am-12pm: Implementing error mitigation, hands-on part (RL), video of lecture of Ryan at https://youtu.be/kTEId-fQhFY (same link for all three of Ryan's sessions)
• 12pm-130pm: Lunch
• 130pm-230pm: Wrapping up and defining nuclear many-body system to study for hands-on session and possible advanced topics (JB, BH, MHJ & all). Video of lecture at https://youtu.be/2EwsNNcHplk
• 230pm-330pm: Start hands-on session
• 330pm-4pm: Break, coffee, tea etc
• 4pm-6pm: Hands-on sessions and problem solving (all)
• 6pm: End of school

You are expected to have operating programming skills in programming languages like Python (preferred) and/or Fortran, C++, Julia or similar and knowledge of quantum mechanics at an intermediate level (senior undergraduate and/or beginning graduate). Knowledge of linear algebra is essential. Additional modules for self-teaching on Python and quantum mechanics are also provided.