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[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …
received significant attention from the research community in recent years. It uses the …
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 …
Variational quantum algorithms
Applications such as simulating complicated quantum systems or solving large-scale linear
algebra problems are very challenging for classical computers, owing to the extremely high …
algebra problems are very challenging for classical computers, owing to the extremely high …
Parameterized quantum circuits as machine learning models
Hybrid quantum–classical systems make it possible to utilize existing quantum computers to
their fullest extent. Within this framework, parameterized quantum circuits can be regarded …
their fullest extent. Within this framework, parameterized quantum circuits can be regarded …
Absence of barren plateaus in finite local-depth circuits with long-range entanglement
Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …
devices, shallow parametrized circuits can be effectively trained to obtain short-range …
Layerwise learning for quantum neural networks
With the increased focus on quantum circuit learning for near-term applications on quantum
devices, in conjunction with unique challenges presented by cost function landscapes of …
devices, in conjunction with unique challenges presented by cost function landscapes of …
Equivalence of quantum barren plateaus to cost concentration and narrow gorges
Optimizing parameterized quantum circuits (PQCs) is the leading approach to make use of
near-term quantum computers. However, very little is known about the cost function …
near-term quantum computers. However, very little is known about the cost function …
Real-and imaginary-time evolution with compressed quantum circuits
The current generation of noisy intermediate-scale quantum computers introduces new
opportunities to study quantum many-body systems. In this paper, we show that quantum …
opportunities to study quantum many-body systems. In this paper, we show that quantum …
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 …
Performance comparison of optimization methods on variational quantum algorithms
Variational quantum algorithms (VQAs) offer a promising path toward using near-term
quantum hardware for applications in academic and industrial research. These algorithms …
quantum hardware for applications in academic and industrial research. These algorithms …