Quantum Computing for Nuclear Physics

This site contains the educational material for the Nuclear Talent course on Quantum Computing for Nuclear Physics at the European Center for Theoretical Nuclear Physics, Trento, Italy, June 16-July 4, 2025 The educational material is in the form of jupyter-notebooks, pdf files etc under the doc/pub folder above. There you will find the teaching material for each day. The links to the lecture notes, exercises and projects are also available in the program here (links will be updated).

Program

DTP/TALENT Program

Here is a short, and biased, list of suggestions for places to eat nearby. Enjoy!

Week 1, June 16-20

### Monday June 16

Time	Topic	Lecturers
8.00am- 9.00am	Registration
9.00am- 9.15am	Welcome by ECT* director Bira van Kolck
9.15am-10.00am	Basic elements of quantum computing and brief review of relevant quantum mechanical properties. Lecture material	Morten
10.00am-10.15am	Break
10.15am-11.00am	Qubits, density matrices, and entanglement. Lecture material	Morten
11.00am-11.30am	Coffee break
11.30am-12.15pm	Quantum gates and quantum circuits Lecture material	Morten
12.15pm- 2.30pm	Lunch
2.30pm- 6.00pm	Exercises on basic use of qiskit, playing with gates and measurements single qubit rotations + Euler angles two qubit gates state (or gate) teleportation [for the more experts T-injection] and more Exercises

### Tuesday June 17

Time	Topic	Lecturers
9.15am-10.00am	Repetition from Monday and start discussion of quantum simulations Lecture material	Morten
10.00am-10.15am	Break
10.15am-11.00am	Measuring observables (direct, Hadamard test), non unitary gates Lecture material	Alessandro
11.00am-11.30am	Coffee break
11.30am-12.15am	Methods for Hamiltonian dynamics Lecture material	Alessandro
12.15pm- 2.30pm	Lunch
3.30pm- 5.00pm	Seminar by Justin Lietz, Nvidia; Quantum Computing at NVIDIA and Integrating Quantum Computing with HPC
2.30pm- 3.30pm and 5pm-6pm	Exercises on basic implementation of time evolution and observables two site time evolution (e.g. Ising and/or Heisenberg model) measurement of some observable (on site particle density?) comparison with some exact evolution (with e.g. NumPy) [for the more experts] implement an Hadamard test Exercises

### Wednesday June 18

Time	Topic	Lecturers
9.15am-10.00am	Hamiltonian formulation of lattice gauge theories I Lecture material	Zohreh
10.00am-10.15am	Break
10.15am-11.00am	Hamiltonian formulation of lattice gauge theories II Lecture material	Zohreh
11.00am-11.30am	Coffee break
11.30am-12.15pm	Hamiltonian formulation of lattice gauge theories III Lecture material	Zohreh
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Exercises on Hamiltonian simulation of lattice Schwinger model Exercises

### Thursday June 19

Time	Topic	Lecturers
9.15am-10.00am	Quantum-computation of time evolution in a gauge theory I Lecture material	Zohreh
10.00am-10.15am	Break
10.15am-11.00am	Quantum-computation of time evolution in a gauge theory II Lecture material	Zohreh
11.00am-11.30am	Coffee break
11.30am-12.15pm	Quantum-computation of time evolution in a gauge theory III Lecture material	Zohreh
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Exercises Exercises

### Friday June 20

Time	Topic	Lecturers
9.15am-10.00am	Quantum computation of lattice gauge theories IV Lecture material	Zohreh
10.00am-10.15am	Break
10.15am-11.00am	Quantum computation of lattice gauge theories V Lecture material	Zohreh
11.00am-11.30am	Coffee break
11.30am-12.15pm	Why quantum computation for lattice gauge theories? And some highlights! Lecture material	Zohreh
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	[Exercises]	Chung-Chun Hsieh

Week 2, June 23-27

### Monday June 23

Time	Topic	Lecturers
9.15am-10.00am	Variational quantum eigensolver (VQE) part 1, basic math and simple eigenvalue problem Lecture material	Morten
10.00am-10.15am	Break
10.15am-11.00am	VQE, part 2, performering measurements and finding eigenvalues with Qiskit and/or own code Lecture material	Morten
11.00am-11.30am	Coffee break
11.30am-12.15pm	VQE, part 3, Nuclear Structure Hamiltonians and link with project on Lipkin Hamiltonian model (or other model) Lecture material	Morten
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	VQE Exercises

### Tuesday June 24

Time	Topic	Lecturers
9.15am-10.00am	Nuclear Hamiltonians and the Jordan-Wigner Transformation Lecture material	Alexei
10.00am-10.15am	Break
10.15am-11.00am	Time evolution via Trotter Lecture material	Ryan
11.00am-11.30am	Coffee break
11.30am-12.15pm	Measuring observables Lecture material	Ryan
12.15pm- 2.00pm	Lunch
2.00pm- 3.00pm	Exercise: Implement Trotter evolution
3.00pm- 4.00pm	Seminar by Federica Mantegazzini, Quantum Technologies in Trento: experimental platforms and recent developments
	Several research teams in Trento are working in the field of quantum technologies, creating strong synergies and collaborations between groups at FBK, University of Trento, INFN-TIFPA and CNR, and with the support of the joint laboratory Q@TN. In this seminar, an overview of the quantum experimental platforms that are studied and developed in Trento will be given, with a focus on the field of superconducting quantum circuits. The development steps to build a superconducting device will be described, starting from design and simulations, followed by microfabrication and cryogenic measurements. FInally, examples of recent results in this field will be reviewed.
4.00pm- 5.00pm	Exercises

### Wednesday June 25

Time	Topic	Lecturers
9.15am-10.00am	Quantum Fourier Transforms (QFTs) Lecture material	Alexei
10.00am-10.15am	Break
10.15am-11.00am	Quantum Phase Estimation I Lecture material	Ryan
11.00am-11.30am	Coffee break
11.30am-12.15pm	Quantum Phase Estimation II Lecture material	Ryan
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Exercise on QPE and project work

### Thursday June 26

Feste Vigiliane, ECT* is closed on Thursday

### Friday June 27

Time	Topic	Lecturers
9.15am-10.00am	Quantum channels & errors Lecture material	Ryan
10.00am-10.15am	Break
10.15am-11.00am	Quantum error mitigation Lecture material	Ryan
11.00am-11.30am	Coffee break
11.30am-12.15pm	State preparation for the Schwinger model Lecture material	Alexei
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Exercise on ZNE and project work

Week 3, June 30-July 4

### Monday June 30

Time	Topic	Lecturers
9.15am-10.00am	Rodeo algorithm, adiabatic state preparation and application to nuclear physics, part 1 Lecture material	Dean
10.00am-10.15am	Break
10.15am-11.00am	Rodeo algorithm, adiabatic state preparation and application to nuclear physics, part 2 Lecture material	Dean
11.00am-11.30am	Coffee break
11.30am-12.15pm	Rodeo algorithm, adiabatic state preparation and application to nuclear physics, part 3 Lecture material	Dean
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Project work

### Tuesday July 1

Time	Topic	Lecturers
9.15am-10.00am	Rodeo algorithm, adiabatic state preparation and application to nuclear physics, part 4 Lecture material	Dean
10.00am-10.15am	Break
10.15am-11.00am	Rodeo algorithm, adiabatic state preparation and application to nuclear physics, part 5 Lecture material	Dean
11.00am-11.30am	Coffee break
11.30am-12.15pm	Rodeo algorithm, adiabatic state preparation and application to nuclear physics, part 6 Lecture material	Dean
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Project work

### Wednesday July 2

Time	Topic	Lecturers
9.15am-10.00am	Modern techniques (LCU,QSP,QDRIFT), part 1 Lecture material	Alessandro
10.00am-10.15am	Break
10.15am-11.00am	Modern techniques (LCU,QSP, QDRIFT), part 2 Lecture material	Alessandro
11.00am-11.30am	Coffee break
11.30am-12.15pm	Modern techniques (LCU,QSP,QDRIFT), part 3 Lecture material	Alessandro
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Project work

### Thursday July 3

Time	Topic	Lecturers
9.15am-10.00am	Quantum error correction, part 1 Lecture material	Alessandro
10.00am-10.15am	Break
10.15am-11.00am	Quantum error correction, part 2 Lecture material	Alessandro
11.00am-11.30am	Coffee break
11.30am-12.15pm	Discussion of projects and summary of course
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Project work

### Friday July 4

Time	Topic	Lecturers
9.15am-10.00am	Discussion of and work on projects
10.00am-10.15am	Break
10.15am-11.00am	Discussion of and work on projects
11.00am-11.30am	Coffee break
11.30am-12.15pm	Discussion of and work on projects
12.15pm- 2.00pm	Lunch
2.00pm- 5.00pm	Project work and end of Talent course