Quantum algorithm for ground state energy estimation using circuit depth with exponentially improved dependence on precision [PDF]
Quantum, 2022 A milestone in the field of quantum computing will be solving problems in quantum chemistry and materials faster than state-of-the-art classical methods.
Guoming Wang +4 more
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Variational quantum algorithms [PDF]
Nature Reviews Physics, 2021 Applications such as simulating complicated quantum systems or solving large-scale linear algebra problems are very challenging for classical computers due to the extremely high computational cost. Quantum computers promise a solution, although fault-tolerant quantum computers will likely not be available in the near future.
M. Cerezo +10 more
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Quantum algorithm for persistent Betti numbers and topological data analysis [PDF]
Quantum, 2021 Topological data analysis (TDA) is an emergent field of data analysis. The critical step of TDA is computing the persistent Betti numbers. Existing classical algorithms for TDA are limited if we want to learn from high-dimensional topological features ...
Ryuuichirou Hayakawa*
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An efficient quantum algorithm for the time evolution of parameterized circuits [PDF]
Quantum, 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
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A variational quantum algorithm for the Feynman-Kac formula [PDF]
Quantum, 2021 We propose an algorithm based on variational quantum imaginary time evolution for solving the Feynman-Kac partial differential equation resulting from a multidimensional system of stochastic differential equations.
H. Alghassi +5 more
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Digitized Counterdiabatic Quantum Algorithm for Protein Folding [PDF]
Physical Review Applied, 2022 We propose a hybrid classical-quantum digitized-counterdiabatic algorithm to tackle the protein folding problem on a tetrahedral lattice. Digitized-counterdiabatic quantum computing is a paradigm developed to compress quantum algorithms via the ...
P. Chandarana +4 more
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Parallel Quantum Algorithm for Hamiltonian Simulation [PDF]
Quantum, 2021 We study how parallelism can speed up quantum simulation. A parallel quantum algorithm is proposed for simulating the dynamics of a large class of Hamiltonians with good sparse structures, called uniform-structured Hamiltonians, including various ...
Zhicheng Zhang, Qisheng Wang, M. Ying
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Quantum algorithm for the Navier–Stokes equations by using the streamfunction-vorticity formulation and the lattice Boltzmann method [PDF]
International Journal of Quantum Information, 2021 In this paper, a new algorithm for solving the Navier–Stokes equations (NSE) on a quantum device is presented. For the fluid flow equations, the stream function-vorticity formulation is adopted, while the lattice Boltzmann method (LBM) is utilized for ...
L. Budinski
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Exploiting Dynamic Quantum Circuits in a Quantum Algorithm with Superconducting Qubits. [PDF]
Physical Review Letters, 2021 To date, quantum computation on real, physical devices has largely been limited to simple, time-ordered sequences of unitary operations followed by a final projective measurement. As hardware platforms for quantum computing continue to mature in size and
A. Córcoles +6 more
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Distributed quantum algorithm for Simon's problem [PDF]
Physical Review A, 2022 Limited by today’s physical devices, quantum circuits are usually noisy and difficult to be designed deeply. The novel computing architecture of distributed quantum computing is expected to reduce the noise and depth of quantum circuits.
J. Tan +4 more
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