In this section, we establish the mathematical foundations of sequential data that will be used throughout the remainder of this article. Specifically, we discuss: What is sequential data? — Definition…
1️⃣ What Measurement Means (Intuition) A quantum state: [latex] |\psi\rangle = \alpha|0\rangle + \beta|1\rangle[/latex] does not have a definite value. 👉 Measurement asks a question: “If I observe this system…
1️⃣ Intuition First A unitary matrix represents a transformation that: ✔ Rotates or reflects vectors✔ Does not stretch or shrink them✔ Preserves total probability Think of it like this: A…
Why Part 0 Matters Quantum Machine Learning (QML) is often presented as something mysterious or futuristic. In reality, it is a natural extension of classical machine learning into quantum state…
First: what teleportation is not ❌ It does not move particles❌ It does not send information faster than light❌ It does not copy a quantum state ✅ It transfers an…
We say a two-qubit pure state is separable if it can be written as: [latex]|\psi\rangle_{AB} = |\phi\rangle_A \otimes |\chi\rangle_B[/latex] If this is impossible, the state is entangled. ✅ Method 1…
What is a Bell state? A Bell state is a maximally entangled two-qubit state.The most commonly used Bell state is: [latex]|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)[/latex] It has perfect quantum correlations…
What entanglement really means (beyond the buzzword) Entanglement is not just correlation.It is a non-classical correlation where: The quantum state of the whole system is well-defined,but the states of the…
Quantum computing harnesses the unique laws of quantum mechanics to perform calculations in ways that are impossible for classical computers. At the core of quantum computation is the quantum circuit…
One of the first things people learn about qubits is that the basis states |0⟩ and |1⟩ are orthogonal.Mathematically, this means: \[\langle 0 | 1 \rangle = 0\] Because of…