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Variational quantum algorithms (VQAs) hold much promise but face the challenge of exponentially small gradients.
Lecture notes on the theory of open quantum systems
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Toward trainability of quantum neural networks
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An inequality for the trace of matrix products, using absolute values
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A quantum approximate optimization algorithm
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A variational eigenvalue solver on a photonic quantum processor
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The theory of variational hybrid quantum-classical algorithms
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Classification with quantum neural networks on near term processors
Farhi, E. and Neven, H · 2018
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Barren plateaus in quantum neural network training landscapes
McClean, J.R., Boixo, S., Smelyanskiy, V.N., Babbush, R. and Neven, H · 2018
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Quantum-assisted quantum compiling
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Evaluating analytic gradients on quantum hardware
Schuld, M., Bergholm, V., Gogolin, C., Izaac, J. and Killoran, N · 2019
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An initialization strategy for addressing barren plateaus in parametrized quantum circuits
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Generalized unitary coupled cluster wave functions for quantum computation
Variational quantum state eigensolver
Cerezo, M., Sharma, K., Arrasmith, A. and Coles, P.J · 2022
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Connecting ansatz expressibility to gradient magnitudes and barren plateaus
Holmes, Z., Sharma, K., Cerezo, M. and Coles, P.J · 2022
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Avoiding barren plateaus via transferability of smooth solutions in a hamiltonian variational ansatz
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Quantum generative adversarial networks based on rényi divergences
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Variational Quantum Linear Solver
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Quantum chemistry in the age of quantum computing
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Variational-state quantum metrology
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Noise resilience of variational quantum compiling
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Hybrid quantum-classical algorithms and quantum error mitigation
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Near-term quantum algorithms for linear systems of equations with regression loss functions
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Variational algorithms for linear algebra
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Barren plateaus in quantum tensor network optimization
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Measurement-induced entanglement phase transitions in variational quantum circuits
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Stochastic noise can be helpful for variational quantum algorithms
Liu, J., Wilde, F., Mele, A.A., Jiang, L. and Eisert, J · 2023
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Which differential equations correspond to the lindblad equation?
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Effect of nonunital noise on random-circuit sampling
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Equivalence of quantum barren plateaus to cost concentration and narrow gorges
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Emergence of noise-induced barren plateaus in arbitrary layered noise models
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Large gradients via correlation in random parameterized quantum circuits
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Experimental error mitigation using linear rescaling for variational quantum eigensolving with up to 20 qubits
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