Qiskit Fall Fest CIC-IPN Mexico 2021- knapsack Problem

Qiskit Fall Fest CIC-IPN Mexico 2021- knapsack Problem

🎙 Claudia (Full-Stack Quantum Computation) 👥 477 📅 October 19, 2021 ⏱ 66 min 👁 103 📄 tutorial 🧭 2026-08-18
Available in: English (current) Français

Keywords

knapsackQiskitquantum optimizationQUBOdynamic programming

Summary

This workshop, presented by Claudia at the Qiskit Fall Fest CIC-IPN Mexico 2021, introduces the knapsack problem, a classic NP-complete combinatorial optimization problem. The presenter explains the problem’s formulation with binary variables, benefits, and weights, and discusses its applications in logistics, finance, and resource allocation. She then reviews classical solution methods, including brute force and dynamic programming, highlighting the time complexity of O(nW). The main focus is on solving the knapsack problem using quantum computing. The approach involves mapping the problem to a Quadratic Unconstrained Binary Optimization (QUBO) formulation and then to an Ising Hamiltonian, whose ground state corresponds to the optimal solution. The presenter demonstrates how to use Qiskit’s optimization module to model and solve the problem, including converting the knapsack instance to a QuadraticProgram and using the MinimumEigenOptimizer with algorithms like QAOA. The tutorial includes a simple example with five items and a capacity of 7, showing how to obtain the optimal benefit value. The video is a practical guide for those interested in applying quantum computing to optimization problems.

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Critical Evaluation

Value of the Information & Strength of the Argument

The video provides a solid introduction to the knapsack problem and its quantum solution. The presenter clearly explains the mathematical formulation and the transition to a quantum Hamiltonian. The argumentation is logical and well-structured, building from the basic problem definition to classical algorithms and then to quantum approaches. The use of a concrete example helps illustrate the concepts. However, the video does not delve deeply into the theoretical complexities of the quantum algorithm, such as the scalability or the practical challenges of implementing QUBO on real quantum devices. The presenter mentions the work by Lucas but does not critically evaluate its assumptions or limitations. Overall, the content is informative and valuable for beginners, but it lacks a deeper critical analysis of the quantum advantage and the practical feasibility.

Scientific Rigor, Source Quality, Title Accuracy

The video references the work by Lucas on mapping optimization problems to quantum Hamiltonians, but no specific citation or URL is provided in the description. The presenter also mentions Qiskit documentation and the Qiskit optimization module, but again without direct links. The title accurately reflects the content, which is a workshop on the knapsack problem using Qiskit. The scientific rigor is adequate for a tutorial, but the lack of explicit source citations and the absence of a critical discussion of the limitations of the quantum approach reduce the overall reliability. The video does not include any comments, so no analysis of public feedback is possible.

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Title / Content Match

The title accurately reflects the content, which is a workshop on solving the knapsack problem using quantum computing with Qiskit.

Quality & Reliability

7/10

The video provides a clear and structured introduction to the knapsack problem, its classical solutions, and a quantum approach using Qiskit. The presenter demonstrates expertise and provides code examples, but the content is primarily educational and lacks in-depth critical analysis or verification of sources.

Key Moments

Cited Sources

Concurring Sources

Contribution & Novelties

The video provides a practical, hands-on tutorial on solving the knapsack problem using Qiskit, which is valuable for practitioners. It bridges the gap between theoretical formulations and actual implementation. The presenter explains the conversion of the problem to a QUBO and demonstrates the use of Qiskit’s optimization module, making the quantum approach accessible.

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Radar Profile

The radar profile shows a balanced performance across all dimensions, with slightly higher scores in information quantity and technical level, indicating a solid tutorial that provides substantial content and technical depth. The lower score in information quality suggests that while the information is accurate, it could benefit from more critical analysis and source verification.

Reliability 7/10