Quantum Learning Reference
Comprehensive guide to quantum computing concepts, algorithms, and SDK resources.
Quantum Fundamentals
Quantum Bits (Qubits)
The basic units of quantum information, represented by superposition states and entanglement.
// Qubit initialization
let q = qubit();
// Apply Hadamard gate
H(q);
// Measure qubit
let result = measure(q);
Quantum Entanglement
Create correlated states between qubits where the measurement of one instantaneously affects the other, regardless of distance.
// Create entangled qubits
let [q0, q1] = entangle();
// Apply Bell measurement
let state = bellMeasure(q0, q1);
Core Quantum Concepts
Superposition
The principle that a qubit can exist in multiple states simultaneously until measured.
Decoherence
Loss of quantum coherence due to interactions with the environment, causing collapse of superposition states.
Quantum Gates
Elementary quantum operations on qubits like Hadamard, Pauli, and CNOT gates.
Key Quantum Algorithms
Shor's Algorithm
Efficiently factors large integers, has implications for breaking RSA encryption.
factor(14);
// Quantum processing
let period = findQuantumPeriod(14);
// Apply Euclidean algorithm
gcd(period, 14);
Grover's Algorithm
Quantum search algorithm that finds an entry in a database with quadratic speedup.
let oracle = createOracle([13, 7, 21, 19]);
let result = groverSearch(oracle);
Algorithm Comparison
| Algorithm | Speedup | Use Case |
|---|---|---|
| Shor | Exponential | Integer Factoring |
| Grover | Quadratic | Database Search |
| Deutsch-Jozsa | Exponential | Function Classification |
SDK Reference
Quantum SDK
Core quantum computing operations and utilities.
// Initialize qubits
let [q0, q1] = newQubits(2);
// Apply quantum operations
H(q0);
CNOT(q0, q1);
Quantum Math
Matrix operations, vector math, and quantum state calculations.
// Tensor product calculation
let result = tensorProduct([[1,0],[0,1]],
[[0,1],[1,0]]);
// Quantum state normalization
let norm = normalizeState([[1,1],[0,1]]);
Circuit Visualizer
Tools for creating, rendering, and debugging quantum circuits.
// Create circuit with 3 qubits
let circuit = newCircuit(3);
// Add gates operations
circuit.addGate("H", 0);
circuit.addGate("CNOT", [0, 1]);
circuit.addMeasurement(2);
Quantum Glossary
Bit vs Qubit
Classical bits have definite values (0 or 1) while quantum bits exist in probabilistic superposition states.
Decoherence
The loss of quantum coherence due to interactions with environment, leading to state collapse.
Entanglement
A property allowing quantum states to depend on the state of other particles instantaneously.
Qudit
A d-dimensional quantum system, extending the concept of qubits to higher dimensions.
Quantum Reference Diagram
Click and drag to explore interactive quantum concepts: qubit states, entanglement, and gate operations.