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Using Variational Quantum Algorithm to Solve the LWE Problem [PDF]

open access: yesEntropy, 2022
The variational quantum algorithm (VQA) is a hybrid classical–quantum algorithm. It can actually run in an intermediate-scale quantum device where the number of available qubits is too limited to perform quantum error correction, so it is one of the most
Lihui Lv   +6 more
doaj   +2 more sources

Variational quantum algorithm for node embedding [PDF]

open access: yesFundamental Research
Quantum machine learning has made remarkable progress in many important tasks. However, the gate complexity of the initial state preparation is seldom considered in lots of quantum machine learning algorithms, making them non-end-to-end. Herein, we propose a quantum algorithm for the node embedding problem that maps a node graph's topological structure
Gui Lu Long, Hang Li
exaly   +5 more sources

Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm [PDF]

open access: yesScientific Reports
The time-dependent one-dimensional nonlinear Schrödinger equation (NLSE) is solved numerically by a hybrid pseudospectral-variational quantum algorithm that connects a pseudospectral step for the Hamiltonian term with a variational step for the nonlinear
Nikolas Köcher   +4 more
doaj   +2 more sources

Consensus-based qubit configuration optimization for variational algorithms on neutral atom quantum systems [PDF]

open access: yesnpj Quantum Information
We report an algorithm that is able to tailor qubit interactions for individual variational quantum algorithm problems. The algorithm leverages the unique ability of a neutral atom tweezer platform to realize arbitrary qubit position configurations ...
Robert J. P. T. de Keijzer   +3 more
doaj   +2 more sources

Quantum algorithms for grid-based variational time evolution [PDF]

open access: yesQuantum, 2023
The simulation of quantum dynamics calls for quantum algorithms working in first quantized grid encodings. Here, we propose a variational quantum algorithm for performing quantum dynamics in first quantization.
Pauline J Ollitrault   +6 more
doaj   +1 more source

Variational quantum classifiers through the lens of the Hessian.

open access: yesPLoS 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
doaj   +2 more sources

Neural-network variational quantum algorithm for simulating many-body dynamics

open access: yesPhysical Review Research, 2021
We propose a neural-network variational quantum algorithm to simulate the time evolution of quantum many-body systems. Based on a modified restricted Boltzmann machine (RBM) wave function ansatz, the proposed algorithm can be efficiently implemented in ...
Chee Kong Lee   +3 more
doaj   +1 more source

An efficient quantum algorithm for the time evolution of parameterized circuits [PDF]

open access: yesQuantum, 2021
We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using parameterized quantum circuits. The method, named "projected – Variational Quantum Dynamics" (p-VQD) realizes an iterative, global projection of the exact ...
Stefano Barison   +2 more
doaj   +1 more source

Variational quantum and quantum-inspired clustering

open access: yesScientific Reports, 2023
Here we present a quantum algorithm for clustering data based on a variational quantum circuit. The algorithm allows to classify data into many clusters, and can easily be implemented in few-qubit Noisy Intermediate-Scale Quantum devices. The idea of the
Pablo Bermejo, Román Orús
doaj   +1 more source

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