#Welcome to Qubit JS

Simulating qubits in JavaScript. Live example.

#Usage

Create a system of qubits

var qubitSystem = _qubit.systemWithNewQubits(3);

console.log(qubitSystem.toString());
// |000>

Apply a Hadamard Gate

//This will apply a Hadamard gate to qubits 1 and 3.
var qubits = [1, 3];
qubitSystem.applyHadamardGate(qubits);

console.log(qubitSystem.toString());
// 0.500 |000> + 0.500 |001> + 0.500 |100> + 0.500 |101>

//This will apply a Hadamard gate to all qubits.
qubitSystem.applyHadamardGate();

console.log(qubitSystem.toString());
// 0.354 |000> + 0.354 |001> + 0.354 |010> + 0.354 |011> + 0.354 |100> + 0.354 |101> + 0.354 |110> + 0.354 |111>

Apply an X Phase Shift

console.log(qubitSystem.toString());
// |000>

//This will apply an X Phase Shift gate to qubits 1 and 3.
var qubits = [1, 3];
qubitSystem.applyXPhaseShiftGate(qubits);

console.log(qubitSystem.toString());
// |101>

console.log(qubitSystem.toString());
// |000>

//This will apply an X Phase Shift gate to all qubits.
qubitSystem.applyXPhaseShiftGate();

console.log(qubitSystem.toString());
// |111>

Apply a Z Phase Shift

console.log(qubitSystem.toString());
// 0.354 |000> + 0.354 |001> + 0.354 |010> + 0.354 |011> + 0.354 |100> + 0.354 |101> + 0.354 |110> + 0.354 |111>

//This will apply a Z Phase Shift gate to qubits 1 and 3.
var qubits = [1, 3];
qubitSystem.applyZPhaseShiftGate(qubits);

console.log(qubitSystem.toString());
// 0.354 |000> + -0.354 |001> + 0.354 |010> + -0.354 |011> + -0.354 |100> + 0.354 |101> + -0.354 |110> + 0.354 |111>

console.log(qubitSystem.toString());
// 0.354 |000> + 0.354 |001> + 0.354 |010> + 0.354 |011> + 0.354 |100> + 0.354 |101> + 0.354 |110> + 0.354 |111>

//This will apply a Z Phase Shift gate to all qubits.
qubitSystem.applyZPhaseShiftGate();

console.log(qubitSystem.toString());
// 0.354 |000> + -0.354 |001> + -0.354 |010> + 0.354 |011> + -0.354 |100> + 0.354 |101> + 0.354 |110> + -0.354 |111>

Measuring your qubits

console.log(qubitSystem.toString());
// 0.354 |000> + 0.354 |001> + 0.354 |010> + 0.354 |011> + 0.354 |100> + 0.354 |101> + 0.354 |110> + 0.354 |111>

// This will measure qubits 1 and 3.
var qubits = [1, 3];
qubitSystem.measure(qubits);

console.log(qubitSystem.toString());
// 0.707 |000> + 0.707 |010>

console.log(qubitSystem.toString());
// 0.354 |000> + 0.354 |001> + 0.354 |010> + 0.354 |011> + 0.354 |100> + 0.354 |101> + 0.354 |110> + 0.354 |111>

// This will measure all of your qubits.
qubitSystem.measure();

console.log(qubitSystem.toString());
// |100>

Running Grover's Algorithm

console.log(qubitSystem.toString());
// |000>

qubitSystem.runGroversAlgorithm("011");

console.log(qubitSystem.toString());
// -0.088 |000> + -0.088 |001> + -0.088 |010> + 0.972 |011> + -0.088 |100> + -0.088 |101> + -0.088 |110> + -0.088 |111>

Credits

Qubit JS uses the Math.js library.