Deep learning the hierarchy of steering measurement settings of qubit-pair states

Abstract

Quantum steering has attracted increasing research attention because of its fundamental importance, as well as its applications in quantum information science. Here we leverage the power of the deep learning model to infer the steerability of quantum states with specific numbers of measurement settings, which form a hierarchical structure. A computational protocol consisting of iterative tests is constructed to overcome the optimization, meanwhile, generating the necessary training data. According to the responses of the well-trained models to the different physics-driven features encoding the states to be recognized, we can numerically conclude that the most compact characterization of the Alice-to-Bob steerability is Alice's regularly aligned steering ellipsoid; whereas Bob's ellipsoid is irrelevant. We have also provided an explanation to this result with the one-way stochastic local operations and classical communication. Additionally, our approach is versatile in revealing further insights into the hierarchical structure of quantum steering and detecting the hidden steerability.

arXiv comment14 pages, 4 figures

References in corpus (58)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Separability Criterion for Density Matrices
• Bell nonlocality
• Machine learning and the physical sciences
• Device-independent security of quantum cryptography against collective attacks
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Separability criterion and inseparable mixed states with positive partial transposition
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Quantum Steering
• Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
• Quantum steering: a review with focus on semidefinite programming
• Experimental EPR-Steering of Bell-local States
• Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
• Device-independent witnesses of genuine multipartite entanglement
• Conclusive quantum steering with superconducting transition edge sensors
• Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
• Joint measurability of generalized measurements implies classicality
• Is quantum advantage the right goal for quantum machine learning?
• Inverse design of 3d molecular structures with conditional generative neural networks
• Quantum Steering Ellipsoids
• Quantification of Einstein-Podolski-Rosen steering for two-qubit states
• One-to-one mapping between steering and joint measurability problems
• Artificial Intelligence and Machine Learning for Quantum Technologies
• Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
• A Separability-Entanglement Classifier via Machine Learning
• Machine learning for long-distance quantum communication
• Maximal randomness expansion from steering inequality violations using qudits
• Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
• Machine learning non-Markovian quantum dynamics
• Machine learning aided carrier recovery in continuous-variable quantum key distribution
• Better local hidden variable models for two-qubit Werner states and an upper bound on the Grothendieck constant $K_G(3)$
• Machine learning non-local correlations
• A neural network oracle for quantum nonlocality problems in networks
• Experimental demonstration of measurement-device-independent measure of quantum steering
• Using deep learning to understand and mitigate the qubit noise environment
• Quantifying Quantumness of Channels Without Entanglement
• Complete classification of steerability under local filters and its relation with measurement incompatibility
• Experimental Simultaneous Learning of Multiple Non-Classical Correlations
• Einstein-Podolsky-Rosen steering: Its geometric quantification and witness
• Quantum steerability: characterization, quantification, superactivation and unbounded amplification
• Super-Activation of Quantum Steering
• Steerability detection of arbitrary 2-qubit state via machine learning
• Experimental characterisation of a non-Markovian quantum process
• Revealing of hidden quantum steerability using local filtering operations
• Quantum correlations of two-qubit states with one maximally mixed marginal
• Distillation of quantum steering
• Einstein-Podolsky-Rosen Steering and Quantum Steering Ellipsoids: Optimal Two-Qubit States and Projective Measurements
• Estimating the degree of non-Markovianity using machine learning
• Building separable approximations for quantum states via neural networks
• Experimental hierarchy and optimal robustness of quantum correlations of two-qubit states with controllable white noise
• Detected the steerability bounds of the generalized Werner states via BackPropagation neural network
• Device-independent quantification of measurement incompatibility
• Quantum steering with vector vortex photon states with the detection loophole closed
• Device-independent verification of Einstein-Podolsky-Rosen steering
• Characterisation and fundamental limitations of irreversible stochastic steering distillation
• On the power of one pure steered state for EPR-steering with a pair of qubits

Cited by in corpus (6)

• Unveiling quantum steering by quantum-classical uncertainty complementarity
• Genuine multipartite entanglement verification with convolutional neural networks
• Measuring network quantum steerability utilizing artificial neural networks
• Quantifying Quantum Steering with Limited Resources: A Semi-supervised Machine Learning Approach
• Unveiling the nonclassicality within quasi-distribution representations through deep learning
• Operational simultaneous correlations in complementary bases of bipartite states via one-sided semi-device-independent steering