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Variational Inference with a Quantum Computer

https://doi.org/10.1103/physrevapplied.16.044057
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-11688-9_20openalex-snapshot
Bayesian Networks for Expert Systems: Theory and Practical Applications
inferredcites →https://doi.org/10.1007/bf00992696openalex-snapshot
Simple statistical gradient-following algorithms for connectionist reinforcement learning
inferredcites →https://doi.org/10.1007/s42484-021-00040-2openalex-snapshot
Robust implementation of generative modeling with parametrized quantum circuits
inferredcites →https://doi.org/10.1007/s42484-021-00047-9openalex-snapshot
Quantum-assisted associative adversarial network: applying quantum annealing in deep learning
inferredcites →https://doi.org/10.1007/s42484-022-00063-3openalex-snapshot
A continuous variable Born machine
inferredcites →https://doi.org/10.1016/0004-3702(90)90060-dopenalex-snapshot
The computational complexity of probabilistic inference using bayesian belief networks
inferredcites →https://doi.org/10.1016/0004-3702(93)90036-bopenalex-snapshot
Approximating probabilistic inference in Bayesian belief networks is NP-hard
inferredcites →https://doi.org/10.1016/0004-3702(94)00092-1openalex-snapshot
On the hardness of approximate reasoning
inferredcites →https://doi.org/10.1016/j.eswa.2021.114768openalex-snapshot
Quantum circuit representation of Bayesian networks
inferredcites →https://doi.org/10.1016/j.ins.2020.05.127openalex-snapshot
Quantum generative adversarial network for generating discrete distribution
inferredcites →https://doi.org/10.1017/cbo9780511803161openalex-snapshot
Causality
inferredcites →https://doi.org/10.1017/cbo9780511804779openalex-snapshot
Bayesian Reasoning and Machine Learning
inferredcites →https://doi.org/10.1023/a:1007425814087openalex-snapshot
Factorial Hidden Markov Models
inferredcites →https://doi.org/10.1038/s41467-018-07090-4openalex-snapshot
Barren plateaus in quantum neural network training landscapes
inferredcites →https://doi.org/10.1038/s41467-020-17419-7openalex-snapshot
Improving the accuracy of medical diagnosis with causal machine learning
inferredcites →https://doi.org/10.1038/s41467-021-21728-wopenalex-snapshot
Cost function dependent barren plateaus in shallow parametrized quantum circuits
inferredcites →https://doi.org/10.1038/s41467-021-22539-9openalex-snapshot
Power of data in quantum machine learning
inferredcites →https://doi.org/10.1038/s41467-021-27045-6openalex-snapshot
Noise-induced barren plateaus in variational quantum algorithms
inferredcites →https://doi.org/10.1038/s41534-017-0017-3openalex-snapshot
Demonstration of quantum advantage in machine learning
inferredcites →https://doi.org/10.1038/s41534-019-0157-8openalex-snapshot
A generative modeling approach for benchmarking and training shallow quantum circuits
inferredcites →https://doi.org/10.1038/s41534-019-0223-2openalex-snapshot
Quantum Generative Adversarial Networks for learning and loading random distributions
inferredcites →https://doi.org/10.1038/s41534-020-00288-9openalex-snapshot
The Born supremacy: quantum advantage and training of an Ising Born machine
inferredcites →https://doi.org/10.1038/s41534-021-00456-5openalex-snapshot
Nearest centroid classification on a trapped ion quantum computer
inferredcites →https://doi.org/10.1038/s41567-018-0124-xopenalex-snapshot
Characterizing quantum supremacy in near-term devices
inferredcites →https://doi.org/10.1038/s41567-018-0318-2openalex-snapshot
On the complexity and verification of quantum random circuit sampling
inferredcites →https://doi.org/10.1038/s41567-021-01287-zopenalex-snapshot
A rigorous and robust quantum speed-up in supervised machine learning
inferredcites →https://doi.org/10.1038/s41586-019-0980-2openalex-snapshot
Supervised learning with quantum-enhanced feature spaces
inferredcites →https://doi.org/10.1038/s41586-019-1666-5openalex-snapshot
Quantum supremacy using a programmable superconducting processor
inferredcites →https://doi.org/10.1038/s43588-021-00084-1openalex-snapshot
The power of quantum neural networks
inferredcites →https://doi.org/10.1038/srep45672openalex-snapshot
Quantum Enhanced Inference in Markov Logic Networks
inferredcites →https://doi.org/10.1080/01621459.2017.1285773openalex-snapshot
Variational Inference: A Review for Statisticians
inferredcites →https://doi.org/10.1080/14697688.2016.1239888openalex-snapshot
Probabilistic Graphical Models: A New Way of Thinking in Financial Modelling
inferredcites →https://doi.org/10.1088/1367-2630/13/9/093021openalex-snapshot
Quantum algorithms for classical lattice models
inferredcites →https://doi.org/10.1088/1367-2630/aa5fdbopenalex-snapshot
Commuting quantum circuits and complexity of Ising partition functions
inferredcites →https://doi.org/10.1088/1367-2630/ab14b5openalex-snapshot
Adversarial quantum circuit learning for pure state approximation
inferredcites →https://doi.org/10.1088/2058-9565/aabd98openalex-snapshot
Quantum-assisted Helmholtz machines: A quantum–classical deep learning framework for industrial datasets in near-term devices
inferredcites →https://doi.org/10.1088/2058-9565/aada1fopenalex-snapshot
Quantum variational autoencoder
inferredcites →https://doi.org/10.1088/2058-9565/ab4eb5openalex-snapshot
Parameterized quantum circuits as machine learning models
inferredcites →https://doi.org/10.1088/2058-9565/ab8e92openalex-snapshot
t|ket⟩: a retargetable compiler for NISQ devices
inferredcites →https://doi.org/10.1088/2058-9565/abd3dbopenalex-snapshot
Quantum versus classical generative modelling in finance
inferredcites →https://doi.org/10.1088/2058-9565/ac0d4dopenalex-snapshot
Anomaly detection with variational quantum generative adversarial networks
inferredcites →https://doi.org/10.1088/2632-2153/ab9009openalex-snapshot
Classical versus quantum models in machine learning: insights from a finance application
inferredcites →https://doi.org/10.1088/2632-2153/ab9803openalex-snapshot
Quantum machine learning and quantum biomimetics: A perspective
inferredcites →https://doi.org/10.1098/rspa.2015.0301openalex-snapshot
Quantum speedup of Monte Carlo methods
inferredcites →https://doi.org/10.1098/rspa.2017.0551openalex-snapshot
Quantum machine learning: a classical perspective
inferredcites →https://doi.org/10.1103/physreva.102.032420openalex-snapshot
Robust data encodings for quantum classifiers
inferredcites →https://doi.org/10.1103/physreva.103.032430openalex-snapshot
Effect of data encoding on the expressive power of variational quantum-machine-learning models
inferredcites →https://doi.org/10.1103/physreva.104.032413openalex-snapshot
Boltzmann machine learning with a variational quantum algorithm
inferredcites →https://doi.org/10.1103/physreva.89.062315openalex-snapshot
Quantum inference on Bayesian networks
inferredcites →https://doi.org/10.1103/physreva.94.022308openalex-snapshot
Estimation of effective temperatures in quantum annealers for sampling applications: A case study with possible applications in deep learning
inferredcites →https://doi.org/10.1103/physreva.98.012324openalex-snapshot
Quantum generative adversarial networks
inferredcites →https://doi.org/10.1103/physreva.98.022330openalex-snapshot
Quantum extension of variational Bayes inference
inferredcites →https://doi.org/10.1103/physreva.98.032309openalex-snapshot
Quantum circuit learning
inferredcites →https://doi.org/10.1103/physreva.98.062324openalex-snapshot
Differentiable learning of quantum circuit Born machines
inferredcites →https://doi.org/10.1103/physreva.99.032331openalex-snapshot
Evaluating analytic gradients on quantum hardware
inferredcites →https://doi.org/10.1103/physreva.99.052306openalex-snapshot
Learning and inference on generative adversarial quantum circuits
inferredcites →https://doi.org/10.1103/physreva.99.062323openalex-snapshot
Generative model benchmarks for superconducting qubits
inferredcites →https://doi.org/10.1103/physrevapplied.16.054035openalex-snapshot
Variational Quantum Gibbs State Preparation with a Truncated Taylor Series
inferredcites →https://doi.org/10.1103/physrevlett.117.080501openalex-snapshot
Average-Case Complexity Versus Approximate Simulation of Commuting Quantum Computations
inferredcites →https://doi.org/10.1103/physrevlett.122.040504openalex-snapshot
Quantum Machine Learning in Feature Hilbert Spaces
inferredcites →https://doi.org/10.1103/physrevlett.123.220502openalex-snapshot
Variational Thermal Quantum Simulation via Thermofield Double States
inferredcites →https://doi.org/10.1103/physrevlett.126.190505openalex-snapshot
Information-Theoretic Bounds on Quantum Advantage in Machine Learning
inferredcites →https://doi.org/10.1103/physrevlett.127.180501openalex-snapshot
Strong Quantum Computational Advantage Using a Superconducting Quantum Processor
inferredcites →https://doi.org/10.1103/physrevlett.128.070501openalex-snapshot
Reformulation of the No-Free-Lunch Theorem for Entangled Datasets
inferredcites →https://doi.org/10.1103/physrevresearch.2.033125openalex-snapshot
Expressive power of parametrized quantum circuits
inferredcites →https://doi.org/10.1103/physrevx.11.041011openalex-snapshot
Absence of Barren Plateaus in Quantum Convolutional Neural Networks
inferredcites →https://doi.org/10.1103/physrevx.12.021037openalex-snapshot
Enhancing Generative Models via Quantum Correlations
inferredcites →https://doi.org/10.1103/physrevx.12.031010openalex-snapshot
Generation of High-Resolution Handwritten Digits with an Ion-Trap Quantum Computer
inferredcites →https://doi.org/10.1103/physrevx.7.041052openalex-snapshot
Quantum-Assisted Learning of Hardware-Embedded Probabilistic Graphical Models
inferredcites →https://doi.org/10.1103/physrevx.8.031012openalex-snapshot
Unsupervised Generative Modeling Using Matrix Product States
inferredcites →https://doi.org/10.1103/prxquantum.3.010313openalex-snapshot
Connecting Ansatz Expressibility to Gradient Magnitudes and Barren Plateaus
inferredcites →https://doi.org/10.1109/49.661103openalex-snapshot
Turbo decoding as an instance of Pearl's "belief propagation" algorithm
inferredcites →https://doi.org/10.1109/tii.2017.2695583openalex-snapshot
Bayesian Networks in Fault Diagnosis
inferredcites →https://doi.org/10.1109/tpami.2018.2889774openalex-snapshot
Advances in Variational Inference
inferredcites →https://doi.org/10.1111/j.2517-6161.1988.tb01721.xopenalex-snapshot
Local Computations with Probabilities on Graphical Structures and Their Application to Expert Systems
inferredcites →https://doi.org/10.1126/sciadv.aat9004openalex-snapshot
A quantum machine learning algorithm based on generative models
inferredcites →https://doi.org/10.1126/sciadv.aaw9918openalex-snapshot
Training of quantum circuits on a hybrid quantum computer
inferredcites →https://doi.org/10.1126/science.aax2342openalex-snapshot
Dissecting racial bias in an algorithm used to manage the health of populations
inferredcites →https://doi.org/10.1137/s0097539704412910openalex-snapshot
Equivalences and Separations Between Quantum and Classical Learnability
inferredcites →https://doi.org/10.1140/epjst/e2015-02349-9openalex-snapshot
Bayesian network structure learning using quantum annealing
inferredcites →https://doi.org/10.1142/s0217979295000148openalex-snapshot
QUANTUM BAYESIAN NETS
inferredcites →https://doi.org/10.1145/1993636.1993682openalex-snapshot
The computational complexity of linear optics
inferredcites →https://doi.org/10.1145/3106700.3106710openalex-snapshot
Guest Column
inferredcites →https://doi.org/10.1184/r1/6603563openalex-snapshot
Approximate Inference in Additive Factorial HMMs with Application to Energy Disaggregation
inferredcites →https://doi.org/10.1201/9780429463976openalex-snapshot
Handbook of Graphical Models
inferredcites →https://doi.org/10.1201/9781003453420-2openalex-snapshot
MCMC Using Hamiltonian Dynamics
inferredcites →https://doi.org/10.1201/b10905openalex-snapshot
Handbook of Markov Chain Monte Carlo
inferredcites →https://doi.org/10.1613/jair.1.14329openalex-snapshot
QNLP in Practice: Running Compositional Models of Meaning on a Quantum Computer
inferredcites →https://doi.org/10.22331/q-2020-02-06-226openalex-snapshot
Data re-uploading for a universal quantum classifier
inferredcites →https://doi.org/10.22331/q-2021-01-25-386openalex-snapshot
Measuring Analytic Gradients of General Quantum Evolution with the Stochastic Parameter Shift Rule
inferredcites →https://doi.org/10.22331/q-2021-03-23-417openalex-snapshot
On the Quantum versus Classical Learnability of Discrete Distributions
inferredcites →https://doi.org/10.22331/q-2021-06-04-466openalex-snapshot
Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus
inferredcites →https://doi.org/10.2469/faj.v68.n3.3openalex-snapshot
Regime Shifts: Implications for Dynamic Strategies (corrected)
inferredcites →https://doi.org/10.26421/qic17.1-2-3openalex-snapshot
Quantum algorithms for Gibbs sampling and hitting-time estimation
inferredcites →https://doi.org/10.3390/e20080583openalex-snapshot
Information Perspective to Probabilistic Modeling: Boltzmann Machines versus Born Machines
inferredcites →https://doi.org/10.3929/ethz-b-000382432openalex-snapshot
Quantum Generative Adversarial Networks for learning and loading random distributions
inferredcites →https://doi.org/10.4230/lipics.fsttcs.2021.51openalex-snapshot
A Practical Quantum Instruction Set Architecture
inferredcites →https://doi.org/10.4230/lipics.itcs.2019.15openalex-snapshot
"Quantum Supremacy" and the Complexity of Random Circuit Sampling
inferredcites →https://doi.org/10.48550/arxiv.0905.3528openalex-snapshot
Quantum Annealing for Variational Bayes Inference
inferredcites →https://doi.org/10.48550/arxiv.1301.1299openalex-snapshot
Automated Variational Inference in Probabilistic Programming
inferredcites →https://doi.org/10.48550/arxiv.1301.2295openalex-snapshot
Recognition Networks for Approximate Inference in BN20 Networks
inferredcites →https://doi.org/10.48550/arxiv.1312.6114openalex-snapshot
Auto-Encoding Variational Bayes
inferredcites →https://doi.org/10.48550/arxiv.1401.4082openalex-snapshot
Stochastic Backpropagation and Approximate Inference in Deep Generative Models
inferredcites →https://doi.org/10.48550/arxiv.1408.2037openalex-snapshot
Quantum Annealing for Variational Bayes Inference
inferredcites →https://doi.org/10.48550/arxiv.1505.05770openalex-snapshot
Variational Inference with Normalizing Flows
inferredcites →https://doi.org/10.48550/arxiv.1506.03039openalex-snapshot
Measuring Sample Quality with Stein's Method
inferredcites →https://doi.org/10.48550/arxiv.1510.06356openalex-snapshot
Application of Quantum Annealing to Training of Deep Neural Networks
inferredcites →https://doi.org/10.48550/arxiv.1610.09033openalex-snapshot
Operator Variational Inference
inferredcites →https://doi.org/10.48550/arxiv.1611.00712openalex-snapshot
The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables
inferredcites →https://doi.org/10.48550/arxiv.1611.01144openalex-snapshot
Categorical Reparameterization with Gumbel-Softmax
inferredcites →https://doi.org/10.48550/arxiv.1702.08235openalex-snapshot
Variational Inference using Implicit Distributions
inferredcites →https://doi.org/10.48550/arxiv.1910.02071openalex-snapshot
Quantum Hamiltonian-Based Models and the Variational Quantum Thermalizer Algorithm
inferredcites →https://doi.org/10.48550/arxiv.1911.00111openalex-snapshot
Quantum Wasserstein Generative Adversarial Networks
inferredcites →https://doi.org/10.48550/arxiv.2002.00055openalex-snapshot
A Variational Quantum Algorithm for Preparing Quantum Gibbs States
inferredcites →https://doi.org/10.48550/arxiv.2012.00732openalex-snapshot
Convergence and Sample Complexity of SGD in GANs
inferredcites →https://doi.org/10.5555/3291125.3309633openalex-snapshot
Optimal quantum sample complexity of learning algorithms
inferredcites →https://doi.org/10.5860/choice.47-3771openalex-snapshot
Causality: models, reasoning, and inference
inferredcites →https://doi.org/10.6084/m9.figshare.5203696openalex-snapshot
Variational Inference: A Review for Statisticians

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Quantum Artificial Intelligence Scalability in the NISQ Era: Pathways to Quantum Utility
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QKSA: Quantum Knowledge Seeking Agent
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Variational quantum algorithms: fundamental concepts, applications and challenges
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Variational quantum Kolmogorov–Arnold network
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Continuous-variable quantum Boltzmann machine
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Quantum machine learning for additive manufacturing process monitoring
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Synergistic pretraining of parametrized quantum circuits via tensor networks
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Trainability barriers and opportunities in quantum generative modeling
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A systematic review of quantum machine learning for digital health
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Quantum machine learning: from physics to software engineering
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Do quantum circuit Born machines generalize?
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Variational post-selection for ground states and thermal states simulation
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Bayesian learning of parameterised quantum circuits
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Tensor tree learns hidden relational structures in data to construct generative models
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Conditional Born machine for Monte Carlo event generation
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Neural-network-encoded variational quantum algorithms
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Variational Quantum-Neural Hybrid Eigensolver
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NISQ Computers: A Path to Quantum Supremacy
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Quantum-Aided Meta-Learning for Bayesian Binary Neural Networks via Born Machines
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Bayesian Quantum Orthogonal Neural Networks for Anomaly Detection
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Commensurable and Chaotic Nano-Contact Vortex Oscillator (NCVO) study for information processing
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Quantum algorithms for reinforcement learning
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