Differentiable Analog Quantum Computing for Optimization and Control
Not on the map. Why?
Abstract (arXiv)
We formulate the first differentiable analog quantum computing framework with a specific parameterization design at the analog signal (pulse) level to better exploit near-term quantum devices via variational methods. We further propose a scalable approach to estimate the gradients of quantum dynamics using a forward pass with Monte Carlo sampling, which leads to a quantum stochastic gradient descent algorithm for scalable gradient-based training in our framework. Applying our framework to quantum optimization and control, we observe a significant advantage of differentiable analog quantum computing against SOTAs based on parameterized digital quantum circuits by orders of magnitude.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 23 of its 73 references that are in the map. First posted on arXiv 28 Oct 2022.
Builds on
23 of 73 references.
References · 23
- 2015Deep Residual Learning for Image Recognitioncited by 52,096
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2018Neural Ordinary Differential Equationscited by 3,779
- 2019Hamiltonian Neural Networkscited by 712
- 2017Stable Architectures for Deep Neural Networkscited by 341
- 2019Parameterized quantum circuits as machine learning modelscited by 332
- 2019DiffTaichi: Differentiable Programming for Physical Simulationcited by 258
- 2020Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solverscited by 205
- 2017Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equationscited by 203
- 2020Dissecting Neural ODEscited by 153
- 2020Learning to Control PDEs with Differentiable Physicscited by 132
- 2016A Differentiable Physics Engine for Deep Learning in Roboticscited by 108
11 more
- 2021gradSim: Differentiable simulation for system identification and visuomotor controlcited by 100
- 2020Scalable Differentiable Physics for Learning and Controlcited by 73
- 2021DiSECt: A Differentiable Simulation Engine for Autonomous Robotic Cuttingcited by 64
- 2021DiffPD: Differentiable Projective Dynamicscited by 62
- 2021Fast and Feature-Complete Differentiable Physics for Articulated Rigid Bodies with Contactcited by 52
- 2021Efficient Differentiable Simulation of Articulated Bodiescited by 39
- 2022Differentiable Simulation of Soft Multi-body Systemscited by 39
- 2021DiffAqua: A Differentiable Computational Design Pipeline for Soft Underwater Swimmers with Shape Interpolationcited by 9
- 2020Resource-Efficient Quantum Computing by Breaking Abstractionscited by 4
- 2020On the Principles of Differentiable Quantum Programming Languagescited by 3
- 2019A Theory of Trotter Errorcited by 2
Built on by
Citing papers per year: 2022: 1; 2023: 1; 2024: 1; 2025: 1.
4 papers.
- 2022QuACK: Accelerating Gradient-Based Quantum Optimization with Koopman Operator Learningcited by 7
- 2023Efficient Quantum Algorithms for Quantum Optimal Controlcited by 1
- 2025ResQ: A Novel Framework to Implement Residual Neural Networks on Analog Rydberg Atom Quantum Computerscited by 1
- 2024Differentiable Quantum Computing for Large-scale Linear Controlcited by 0
- 2025ResQ: A Novel Framework to Implement Residual Neural Networks on Analog Rydberg Atom Quantum Computers26 Jun 2025
- 2024Differentiable Quantum Computing for Large-scale Linear Control3 Nov 2024
- 2023Efficient Quantum Algorithms for Quantum Optimal Control5 Apr 2023
- 2022QuACK: Accelerating Gradient-Based Quantum Optimization with Koopman Operator Learning2 Nov 2022