Learning Notes
Plain explanations of qubits, vectors, matrices, measurement, entanglement, and algorithms.
Quantum • AI • Optimization
Research notes and experiments for building intelligent systems from first principles.
Enraiq is a public lab for learning quantum computing, using AI as a research assistant, and testing ideas on real business optimization problems.
Research tracks
Built for reading, testing, and improving over time.
Qiskit Experiments
Reproducible circuits such as Bell states, teleportation, Grover, QFT, VQE, and QAOA.
AI-Assisted Research
Using AI to understand papers, verify code, generate hypotheses, and simplify complex math.
Business Optimization
Models for lead routing, priority scoring, allocation, scheduling, and decision intelligence.
Active experiment path
Turning a real business routing problem into testable models.
The long-term research thread starts with legal lead routing: assign each incoming lead to the best-fit customer while balancing filters, priority, schedule, order volume, and likely conversion quality.
Rule-based baseline
Start with clear matching rules for location, practice area, customer filters, availability, and order balance.
Classical optimization
Convert the routing decision into scores, constraints, penalties, and measurable tradeoffs.
Quantum-inspired model
Explore QUBO-style formulations and small QAOA prototypes in Qiskit on synthetic datasets.
Compare and document
Measure what improved, what failed, what scaled poorly, and what needs deeper study.
Roadmap
From beginner foundations to applied research projects.
The goal is not to repeat generic quantum explainers. The goal is to document a serious learning path and convert concepts into working experiments.
Phase 1Linear algebra, probability, complex numbers, Qiskit basics.
Phase 2Known quantum circuits and algorithm reproductions.
Phase 3Classical optimization baselines and AI scoring models.
Phase 4Quantum-inspired and hybrid experiments for decision systems.
Latest writing
Notes and experiments
Basis and Dimension: Independent Building Blocks, Row Space, and Degrees of Freedom
A structured explanation of basis vectors, row-space bases, why all bases of one space contain the same number of vectors, dimension as degrees of freedom, and its connection to quantum state spaces.
Read note →Understanding NAND Gates: From Individual Operations to Complete Circuits
Why an individual NAND gate does not behave like AND, but a complete circuit made entirely from NAND gates can implement AND. Includes the distinction between repeated expressions and physical gates.
Read note →Span, Basis, and Column Space: Complete Building Blocks Without Redundancy
An intuitive explanation of span, basis, unique coordinates, pivot-column bases, and the connection between linear combinations, Ax=b, and the column space.
Read note →