Extended Quantum Computing Patterns

Perform arithmetic operations on values encoded in quantum registers.

A quantum algorithm must add, subtract, multiply, compare, or perform modular operations on values that may be in superposition.

Quantum operations must be reversible. Intermediate values often require ancillas that must later be uncomputed, and circuit cost grows with the register size.

Implement the required operation as a reversible circuit using arithmetic components such as adders, multipliers, comparators, and modular-reduction routines.

Arithmetic is performed coherently on all represented values without measuring the registers.

Ripple-carry and QFT adders, multipliers, comparators, modular addition, and modular exponentiation.

Quantum Logical Operators; Uncompute; Oracle

Arithmetic circuit libraries in Qiskit, PennyLane, and Classiq, including components used by Shor's algorithm.