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Variational quantum algorithms for dimensionality reduction and classification [PDF]
Physical Review A, 2020 In this work, we present a quantum neighborhood preserving embedding and a quantum local discriminant embedding for dimensionality reduction and classification. We demonstrate that these two algorithms have an exponential speedup over their respectively classical counterparts.
Jin-Min Liang +3 more
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Variational Quantum Circuits for Deep Reinforcement Learning
IEEE Access, 2020 The state-of-the-art machine learning approaches are based on classical von Neumann computing architectures and have been widely used in many industrial and academic domains.
Samuel Yen-Chi Chen +5 more
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Measurement-induced entanglement phase transitions in variational quantum circuits
SciPost Physics, 2023 Variational quantum algorithms (VQAs), which classically optimize a parametrized quantum circuit to solve a computational task, promise to advance our understanding of quantum many-body systems and improve machine learning algorithms using near-term ...
Roeland Wiersema, Cunlu Zhou, Juan Felipe Carrasquilla, Yong Baek Kim
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Variational quantum classifiers through the lens of the Hessian.
PLoS ONE, 2022 In quantum computing, the variational quantum algorithms (VQAs) are well suited for finding optimal combinations of things in specific applications ranging from chemistry all the way to finance.
Pinaki Sen +3 more
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Variational quantum algorithm with information sharing
npj Quantum Information, 2021 We introduce an optimisation method for variational quantum algorithms and experimentally demonstrate a 100-fold improvement in efficiency compared to naive implementations. The effectiveness of our approach is shown by obtaining multi-dimensional energy
Chris N. Self +7 more
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A variational quantum algorithm for approximating convex roofs
Quantum Information and Computation, 2022 Many entanglement measures are first defined for pure states of a bipartite Hilbert space, and then extended to mixed states via the convex roof extension. In this article we alter the convex roof extension of an entanglement measure, to produce a sequence of extensions that we call $f$-$d$ extensions, for $d \in \mathbb{N}$, where $f:[0,1]\to [0 ...
George Androulakis, Ryan McGaha
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Efficient Berry phase calculation via adaptive variational quantum computing approach [PDF]
APL QuantumWe present an adaptive variational quantum algorithm to estimate the Berry phase accumulated by a nondegenerate ground state under cyclic, adiabatic evolution of a time-dependent Hamiltonian.
Martin Mootz, Yong-Xin Yao
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Variational quantum simulation of long-range interacting systems
New Journal of Physics, 2023 Current quantum simulators suffer from multiple limitations such as short coherence time, noisy operations, faulty readout and restricted qubit connectivity in some platforms.
Chufan Lyu +5 more
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Parameter-parallel distributed variational quantum algorithm
SciPost Physics, 2023 Variational quantum algorithms (VQAs) have emerged as a promising near-term technique to explore practical quantum advantage on noisy intermediate-scale quantum (NISQ) devices. However, the inefficient parameter training process due to the incompatibility with backpropagation and the cost of a large number of measurements, posing a great challenge to ...
Yun-Fei Niu +4 more
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Hamiltonian variational ansatz without barren plateaus [PDF]
QuantumVariational quantum algorithms, which combine highly expressive parameterized quantum circuits (PQCs) and optimization techniques in machine learning, are one of the most promising applications of a near-term quantum computer.
Chae-Yeun Park, Nathan Killoran
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