Efficient quantum algorithm for dissipative nonlinear differential equations. [PDF]
Proc Natl Acad Sci U S A, 2021 Significance Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity exponential in the evolution time, we give the ...
Liu JP +5 more
europepmc +3 more sources
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 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
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 +2 more
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A strategy for quantum algorithm design assisted by machine learning
New Journal of Physics, 2014 We propose a method for quantum algorithm design assisted by machine learning. The method uses a quantum–classical hybrid simulator, where a ‘quantum student’ is being taught by a ‘classical teacher’. In other words, in our method, the learning system is
Jeongho Bang +4 more
doaj +2 more sources
Quantum algorithm for credit valuation adjustments
New Journal of Physics, 2022 Quantum mechanics is well known to accelerate statistical sampling processes over classical techniques. In quantitative finance, statistical samplings arise broadly in many use cases.
Javier Alcazar +6 more
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Quantum algorithm for time-dependent differential equations using Dyson series [PDF]
Quantum, 2022 Time-dependent linear differential equations are a common type of problem that needs to be solved in classical physics. Here we provide a quantum algorithm for solving time-dependent linear differential equations with logarithmic dependence of the ...
D. Berry, Pedro C. S. Costa
semanticscholar +1 more source
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
semanticscholar +1 more source
Quantum agents in the Gym: a variational quantum algorithm for deep Q-learning [PDF]
Quantum, 2021 Quantum machine learning (QML) has been identified as one of the key fields that could reap advantages from near-term quantum devices, next to optimization and quantum chemistry. Research in this area has focused primarily on variational quantum algorithms
Andrea Skolik, S. Jerbi, V. Dunjko
semanticscholar +1 more source
A general quantum algorithm for open quantum dynamics demonstrated with the Fenna-Matthews-Olson complex [PDF]
Quantum, 2021 Using quantum algorithms to simulate complex physical processes and correlations in quantum matter has been a major direction of quantum computing research, towards the promise of a quantum advantage over classical approaches.
Zixuan Hu +4 more
semanticscholar +1 more source