Real quantum amplitude estimation
Alberto Manzano, Daniele Musso, Álvaro Leitao
Abstract
Abstract We introduce the Real Quantum Amplitude Estimation (RQAE) algorithm, an extension of Quantum Amplitude Estimation (QAE) which is sensitive to the sign of the amplitude. RQAE is an iterative algorithm which offers explicit control over the amplification policy through an adjustable parameter. We provide a rigorous analysis of the RQAE performance and prove that it achieves a quadratic speedup, modulo logarithmic corrections, with respect to unamplified sampling. Besides, we corroborate the theoretical analysis with a set of numerical experiments.
Topics & Concepts
AmplitudeLogarithmQuadratic equationQuantum phase estimation algorithmQuantumSpeedupComputer scienceAlgorithmQuantum computerSign (mathematics)Set (abstract data type)ModuloPhysicsQuantum mechanicsMathematicsQuantum error correctionMathematical analysisDiscrete mathematicsParallel computingGeometryProgramming languageQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum and electron transport phenomena