✨ Iterative Quantum Phase Estimation (IQPE)

[carlareciofdz]

Problem Statement

Iterative Quantum Phase Estimation (IQPE)

Iterative Quantum Phase Estimation (IQPE) is a variant of the standard Quantum Phase Estimation algorithm that replaces the quantum Fourier transform with repeated mid-circuit measuremets and classical feed-forward. Hence, it reduces the required number of qubits.

Instead of using multiple ancilla qubits, IQPE reuses a single ancilla qubit for several iterations. After each iteration, the ancilla is measured, and this outcome is used to classically control subsequent rotation gates.

Relevant literature
https://journals.aps.org/pra/pdf/10.1103/PhysRevA.76.030306
First proposed: https://arxiv.org/abs/quant-ph/9511026

Proposed Solution

Because of its adaptive structure and practical relevance for near-term and fault-tolerant quantum computing, I propose to implement Iterative Quantum Phase Estimation as a new dynamic benchmark type in MQT Bench.