Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
A Quantum Playbook
Authored by Mahn-Soo Choi (Korea University)
This package contains three compilations of the demonstrations. The first, , includes all demonstrations in the book titled “A Quantum Computation Workbook” (Springer, 2022). The second, , is a collection of demonstrations of various subjects in the field of quantum information systems, quantum many-body systems, and quantum spin systems. The third, , provides the demonstration code in the YouTube videos of Q3 tutorials.
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Mathematica
The code in this package is based on the symbolic quantum simulation framework written in Wolfram Language. consists of tools and utilities that perform symbolic calculations and numerical simulations useful in the study of quantum information systems, quantum many-body systems, and quantum spin systems. With , one can avoid many tedious calculations involved in various principles and theorems of quantum theory. Furthermore, numerous visualization and simulation tools can help deepen the understanding of core concepts.
Run and modify the code to build your own examples from the demonstrations and to experiment with fresh ideas.
Warning
This package is for educational purposes only. Redistribution of it is strictly prohibited.
Workbook Demonstrations
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Playbook Demonstrations
Here is another compilation of demonstrations that have not been covered in detail or at all in . This compilation includes a wide range of topics from the field of quantum information systems, quantum many-body systems, and quantum spin systems.
Commutation Relations for Qubits
Partial Trace: Physical Meaning
Non-Unitary Dynamics of Quantum States
Transposition as a Supermap
Addition of Numbers
Measurement of Total Pauli Z
Generalized Pauli Operators: Implementation
Entanglement Distillation
Λ-Matter in a Cavity
Symmetry Effects on Quantum Master Equations
Transmon: Quantum Phase Model
Solovay-Kitaev Algorithm
Quantum Dot Systems
Magnetic Exchange Coupling
Quantum Machine Learning
Baker-Hausdorff Lemma
Spin Code: Encoding a Logical Qubit into a Spin
Kitaev Chain
Kitaev Random Circuit
Chiral Fermion Random Circuit
Hatano-Nelson Model: Monte Carlo Simulation
Hatano-Nelson-Kitaev Model: Monte Carlo Simulation
Demonstrations in YouTube Videos
The tutorials of Q3 for beginners are also available in . The notebook files below contain the demonstrations shown in the corresponding videos.
1. Q3: Install & Quick Start
2. Quantum Playbook
3. Qubits (Quantum Bits)
4. Quantum States
5. QuantumOpertators
6. Quantum Measurement
7. Quantum Circuits
8. Mathematica Cool Tips
9. Matrix Representation
10. Phase Operators
11. Single-Qubit Rotations
12. Schmidt Decomposition
13. The CNOT Gate 1: Elementary Properties
14. The CNOT Gate 2: Parity Measurement
15. Multi-Control NOT Gate
16. The CZ Gate
17. Controlled-Unitary Gates
18. More Mathematica Cool Tips
19. Controlled-Unitary Gates: Special Examples
20. Working in Different Bases
21. Working in Different Bases: Simple Way
22. Dyadic Products
23. Multi-Level Systems (Qudits)
24. Cavity QED Systems
25. Cavity QED Systems: Spectral Properties
26. Classical Oracle
27. Quantum Oracle: Definition
28. Quantum Oracle: Properties
Notes
Notice the current edition of this compilation.
Functions to manage the QuantumPlaybook package.