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
semanticscholar +1 more source
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.
Patrick J. Coles +16 more
openaire +5 more sources
A quantum algorithm for evolving open quantum dynamics on quantum computing devices. [PDF]
Sci Rep, 2020 Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in ...
Hu Z, Xia R, Kais S.
europepmc +3 more sources
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*
semanticscholar +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
Algorithms on Ensemble Quantum Computers [PDF]
Natural Computing, 1999 16 pages, 4 ...
P. Oscar Boykin +3 more
openalex +7 more sources
Variational quantum algorithm for molecular geometry optimization [PDF]
Physical Review A, 2021 Classical algorithms for predicting the equilibrium geometry of strongly correlated molecules require expensive wave function methods that become impractical already for few-atom systems.
A. Delgado +6 more
semanticscholar +1 more source