circuits / quantum-walk-4

Quantum Walk (4 positions)

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Discrete-time quantum walk on 4 positions using a coin qubit and position register.

quantumcomputer.dev
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1OPENQASM 2.0;
2include "qelib1.inc";
3qreg q[3];
4creg c[3];
5// Coin (q[0]), Position (q[1:2])
6// Step 1
7h q[0];
8// Conditional shift
9cx q[0],q[1];
10// Step 2
11h q[0];
12cx q[0],q[2];
13measure q -> c;

Cite this circuit

MIT
quantumcomputer.dev. "Quantum Walk (4 positions)". quantumcomputer.dev/circuits/quantum-walk-4. 2026.