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Noisy intermediate-scale quantum algorithms
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …
integer factorization and unstructured database search requires millions of qubits with low …
Recent advances for quantum classifiers
Abstract Machine learning has achieved dramatic success in a broad spectrum of
applications. Its interplay with quantum physics may lead to unprecedented perspectives for …
applications. Its interplay with quantum physics may lead to unprecedented perspectives for …
Quantum criticality under decoherence or weak measurement
Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …
Theory of overparametrization in quantum neural networks
The prospect of achieving quantum advantage with quantum neural networks (QNNs) is
exciting. Understanding how QNN properties (for example, the number of parameters M) …
exciting. Understanding how QNN properties (for example, the number of parameters M) …
Avoiding barren plateaus using classical shadows
Variational quantum algorithms are promising algorithms for achieving quantum advantage
on near-term devices. The quantum hardware is used to implement a variational wave …
on near-term devices. The quantum hardware is used to implement a variational wave …
Theoretical guarantees for permutation-equivariant quantum neural networks
Despite the great promise of quantum machine learning models, there are several
challenges one must overcome before unlocking their full potential. For instance, models …
challenges one must overcome before unlocking their full potential. For instance, models …
General parameter-shift rules for quantum gradients
Variational quantum algorithms are ubiquitous in applications of noisy intermediate-scale
quantum computers. Due to the structure of conventional parametrized quantum gates, the …
quantum computers. Due to the structure of conventional parametrized quantum gates, the …
Simultaneous perturbation stochastic approximation of the quantum fisher information
Abstract The Quantum Fisher Information matrix (QFIM) is a central metric in promising
algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary …
algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary …
Adaptive variational quantum dynamics simulations
We propose a general-purpose, self-adaptive approach to construct a variational wave-
function ansatz for highly accurate quantum dynamics simulations based on McLachlan's …
function ansatz for highly accurate quantum dynamics simulations based on McLachlan's …
Capacity and quantum geometry of parametrized quantum circuits
To harness the potential of noisy intermediate-scale quantum devices, it is paramount to find
the best type of circuits to run hybrid quantum-classical algorithms. Key candidates are …
the best type of circuits to run hybrid quantum-classical algorithms. Key candidates are …