Results 41 to 50 of about 322,484 (286)

Optimal Protocols in Quantum Annealing and Quantum Approximate Optimization Algorithm Problems [PDF]

Physical Review Letters, 2021
Quantum annealing (QA) and the quantum approximate optimization algorithm (QAOA) are two special cases of the following control problem: apply a combination of two Hamiltonians to minimize the energy of a quantum state. Which is more effective has remained unclear.
Lucas T. Brady, Christopher L. Baldwin, Aniruddha Bapat, Yaroslav Kharkov, Alexey V. Gorshkov   +4 more
openaire   +2 more sources

Digitized counterdiabatic quantum optimization

Physical Review Research, 2022
We propose digitized-counterdiabatic quantum optimization (DCQO) to achieve polynomial enhancement over adiabatic quantum optimization for the general Ising spin-glass model, which includes the whole class of combinatorial optimization problems. This is accomplished via the digitization of adiabatic quantum algorithms that are catalysed by the addition
Hegade, Narendra N., Chen, Xi, Solano, Enrique   +2 more
openaire   +4 more sources

Quantum circuit optimization using quantum Karnaugh map [PDF]

Scientific Reports, 2020
AbstractEvery quantum algorithm is represented by set of quantum circuits. Any optimization scheme for a quantum algorithm and quantum computation is very important especially in the arena of quantum computation with limited number of qubit resources. Major obstacle to this goal is the large number of elemental quantum gates to build even small quantum
Bae, J.-H., Alsing, Paul M., Ahn, Doyeol, Miller, Warner A.   +3 more
openaire   +2 more sources

Quantum Algorithms Applied to Satellite Mission Planning for Earth Observation

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023
Earth imaging satellites are a crucial part of our everyday lives that enable global tracking of industrial activities. Use cases span many applications, from weather forecasting to digital maps, carbon footprint tracking, and vegetation monitoring ...
Serge Rainjonneau, Igor Tokarev, Sergei Iudin, Saaketh Rayaprolu, Karan Pinto, Daria Lemtiuzhnikova, Miras Koblan, Egor Barashov, Mo Kordzanganeh, Markus Pflitsch, Alexey Melnikov   +10 more
doaj   +1 more source

NP-hard but no longer hard to solve? Using quantum computing to tackle optimization problems

Frontiers in Quantum Science and Technology, 2023
In the last decade, public and industrial research funding has moved quantum computing from the early promises of Shor’s algorithm through experiments to the era of noisy intermediate scale quantum devices (NISQ) for solving real-world problems.
Rhonda Au-Yeung, Nicholas Chancellor, Pascal Halffmann   +2 more
doaj   +1 more source

Simulated Quantum Computation of Global Minima [PDF]

, 2009
Finding the optimal solution to a complex optimization problem is of great importance in practically all fields of science, technology, technical design and econometrics.
Das R, Garey M, Goldberg DE, Hirvensalo M, Jing Zhu, Nelson RJ, Nielsen MA, Sabre Kais, Shor PW, Zhen Huang   +9 more
core   +3 more sources

Optimal quantum-enhanced interferometry [PDF]

Physical Review A, 2014
We analyze the ultimate bounds on the phase sensitivity of an interferometer, given the constraint that the state input to the interferometer's initial 50:50 beamsplitter $B$ is a product state of the two input modes. Requiring a product state is a natural restriction: if one were allowed to input an arbitrary, entangled two-mode state $| \rangle$ to ...
Lang, Matthias D., Caves, Carlton M.
openaire   +3 more sources

Constructing elliptic curve isogenies in quantum subexponential time

Journal of Mathematical Cryptology, 2014
Given two ordinary elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but finding such an isogeny is believed to be computationally difficult.
Childs Andrew, Jao David, Soukharev Vladimir   +2 more
doaj   +1 more source

QGOpt: Riemannian optimization for quantum technologies

SciPost Physics, 2021
Many theoretical problems in quantum technology can be formulated and addressed as constrained optimization problems. The most common quantum mechanical constraints such as, e.g., orthogonality of isometric and unitary matrices, CPTP property of ...
Ilia A. Luchnikov, Alexander Ryzhov, Sergey N. Filippov, Henni Ouerdane
doaj   +1 more source

Optimal Quantum Phase Estimation [PDF]

Physical Review Letters, 2009
By using a systematic optimization approach we determine quantum states of light with definite photon number leading to the best possible precision in optical two mode interferometry. Our treatment takes into account the experimentally relevant situation of photon losses.
Dorner, U, Demkowicz-Dobrzanski, R, Smith, B, Lundeen, J, Wasilewski, W, Banaszek, K, Walmsley, I   +6 more
openaire   +3 more sources