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Quantum Simulation Logic, Oracles, and the Quantum Advantage

Entropy, 2019
Query complexity is a common tool for comparing quantum and classical computation, and it has produced many examples of how quantum algorithms differ from classical ones.
Niklas Johansson, Jan-Åke Larsson
doaj   +3 more sources

Exponential quantum advantages in learning quantum observables from classical data [PDF]

npj Quantum Information
Quantum computers are believed to bring computational advantages in simulating quantum many-body systems. However, recent works have shown that classical machine learning algorithms are able to predict numerous properties of quantum systems with ...
Riccardo Molteni, Casper Gyurik, Vedran Dunjko   +2 more
doaj   +2 more sources

Power Network Optimization: A Quantum Approach

IEEE Access, 2023
Optimization of electricity surplus is a crucial element for transmission power networks since it leads to reducing costs as well as increasing efficiency across the network as a whole.
Giuseppe Colucci, Stan van der Linde, Frank Phillipson   +2 more
doaj   +1 more source

Progress towards Analytically Optimal Angles in Quantum Approximate Optimisation

Mathematics, 2022
The quantum approximate optimisation algorithm is a p layer, time variable split operator method executed on a quantum processor and driven to convergence by classical outer-loop optimisation.
Daniil Rabinovich, Richik Sengupta, Ernesto Campos, Vishwanathan Akshay, Jacob Biamonte   +4 more
doaj   +1 more source

High-precision quantum algorithms for partial differential equations [PDF]

Quantum, 2021
Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs, Jin-Peng Liu, Aaron Ostrander   +2 more
doaj   +1 more source

Multipartite entanglement in quantum algorithms [PDF]

, 2010
We investigate the entanglement features of the quantum states employed in quantum algorithms. In particular, we analyse the multipartite entanglement properties in the Deutsch-Jozsa, Grover and Simon algorithms.
Bruß, D., Macchiavello, C.
core   +4 more sources

Continued Fractions and Probability Estimations in Shor’s Algorithm: A Detailed and Self-Contained Treatise

AppliedMath, 2022
Shor’s algorithm for prime factorization is a hybrid algorithm consisting of a quantum part and a classical part. The main focus of the classical part is a continued fraction analysis.
Johanna Barzen, Frank Leymann
doaj   +1 more source

Quantum simulation of exact electron dynamics can be more efficient than classical mean-field methods

Nature Communications, 2023
Quantum algorithms for simulating electronic ground states are slower than popular classical mean-field algorithms such as Hartree–Fock and density functional theory but offer higher accuracy.
Ryan Babbush, William J. Huggins, Dominic W. Berry, Shu Fay Ung, Andrew Zhao, David R. Reichman, Hartmut Neven, Andrew D. Baczewski, Joonho Lee   +8 more
doaj   +1 more source

Machine learning framework to segment sarcomeric structures in SMLM data

Scientific Reports, 2023
Object detection is an image analysis task with a wide range of applications, which is difficult to accomplish with traditional programming. Recent breakthroughs in machine learning have made significant progress in this area.
Dániel Varga, Szilárd Szikora, Tibor Novák, Gergely Pap, Gábor Lékó, József Mihály, Miklós Erdélyi   +6 more
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Constraint Preserving Mixers for the Quantum Approximate Optimization Algorithm

Algorithms, 2022
The quantum approximate optimization algorithm/quantum alternating operator ansatz (QAOA) is a heuristic to find approximate solutions of combinatorial optimization problems.
Franz Georg Fuchs, Kjetil Olsen Lye, Halvor Møll Nilsen, Alexander Johannes Stasik, Giorgio Sartor   +4 more
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