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Machine learning assisted quantum state estimation

Sanjaya Lohani, Brian T Kirby, Michael Brodsky, Onur Danaci, Ryan T Glasser

2020Machine Learning Science and Technology83 citationsDOIOpen Access PDF

Abstract

Abstract We build a general quantum state tomography framework that makes use of machine learning techniques to reconstruct quantum states from a given set of coincidence measurements. For a wide range of pure and mixed input states we demonstrate via simulations that our method produces functionally equivalent reconstructed states to that of traditional methods with the added benefit that expensive computations are front-loaded with our system. Further, by training our system with measurement results that include simulated noise sources we are able to demonstrate a significantly enhanced average fidelity when compared to typical reconstruction methods. These enhancements in average fidelity are also shown to persist when we consider state reconstruction from partial tomography data where several measurements are missing. We anticipate that the present results combining the fields of machine intelligence and quantum state estimation will greatly improve and speed up tomography-based quantum experiments.

Topics & Concepts

FidelityQuantum tomographyComputer scienceNoise (video)QuantumComputationSet (abstract data type)Quantum stateAlgorithmRange (aeronautics)Artificial intelligenceState (computer science)CoincidenceQuantum computerHigh fidelityQuantum algorithmQuantum machine learningQuantum phase estimation algorithmQuantum systemData setMachine learningMathematicsTomographyQuantum sensorQuantum noiseTraining setEstimation theoryQuantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum many-body systems
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