Discover Circuits

Simon's algorithm for a 2-bit input. Finds hidden period s of f(x) = f(x ⊕ s) exponentially faster than classical.

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

Grover's algorithm on 2 qubits searching for |11⟩. Achieves quadratic speedup over classical search.

Finds a hidden binary string s in a single query to f(x) = s·x mod 2.

The simplest Deutsch-Jozsa algorithm on a 2-qubit oracle. Determines if a function is constant or balanced in one query.