Welcome to Quantum Gate Calculator!
First time here? Perfect!
In just 3 minutes, you'll calculate quantum gate operations!
No quantum mechanics knowledge needed - we'll guide you!
Quantum Gate Calculator
Calculate quantum gate operations on state vectors instantly! Apply Pauli, Hadamard, CNOT gates and visualize results on the Bloch sphere. Master quantum matrix operations with real-time calculations!
🤔 What Are Quantum Gates?
Think of quantum gates as the alphabet for programming quantum computers — just as classical logic gates (AND, OR, NOT) form the basis of every digital circuit, quantum gates (H, CNOT, T) manipulate qubits through rotations on the Bloch sphere. Combining them lets you spell out any quantum computation.
Why does this matter? Universal gate sets (H, CNOT, T) can approximate any quantum operation to arbitrary precision, proven by the Solovay-Kitaev theorem. Each gate rotates qubits on the Bloch sphere with mathematical precision. In this simulator, combine gates, visualize their matrix operations, and verify quantum identities.
📊 Input State Vector
⚡ Single-Qubit Gates
Gate Matrix
Select a gate to see its matrix representation