Optimal approximate quantum error correction for quantum metrology
Sisi Zhou, Liang Jiang
Abstract
The authors study the estimation of a Hamiltonian parameter under Markovian noise with the help of fast quantum controls. When the sensing time is long, the paper shows that for a generic set of Markovian evolutions, there exists an approximate quantum error correction strategy which is the best among all types of quantum controls and minimizes the estimation error asymptotically.
Topics & Concepts
Quantum error correctionQuantumQuantum phase estimation algorithmError detection and correctionQuantum metrologyMathematicsQuantum algorithmMarkov processHamiltonian (control theory)Set (abstract data type)Noise (video)Statistical physicsPhysicsAlgorithmQuantum operationQuantum systemQuantum mechanicsQuantum sensorQuantum noiseQuantum processQuantum computerEstimation theoryObservational errorMetrologyOptimal estimationAdiabatic quantum computationComputer scienceQuantum capacityOpen quantum systemSystematic errorError analysisQuantum annealingQuantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum Mechanics and Applications