scholarly journals Quantum Solution to Classical Drag Puzzle

Physics ◽  
2021 ◽  
Vol 14 ◽  
Author(s):  
Mark Buchanan
Keyword(s):  
Quantum Solution

Quantum solution to the hidden subgroup problem for Poly-Near-Hamiltonian groups

2004 ◽  
Vol 4 (3) ◽  
pp. 229-235
Author(s):  
D. Gavinsky
Keyword(s):  
Quantum Computing ◽  
Efficient Algorithm ◽  
Abelian Groups ◽  
Hidden Subgroup Problem ◽  
Subgroup Problem ◽  
Hamiltonian Groups ◽  
Quantum Solution

The Hidden Subgroup Problem (HSP) has been widely studied in the context of quantum computing and is known to be efficiently solvable for Abelian groups, yet appears to be difficult for many non-Abelian ones. An efficient algorithm for the HSP over a group \f G\ runs in time polynomial in \f{n\deq\log|G|.} For any subgroup \f H\ of \f G, let \f{N(H)} denote the normalizer of \f H. Let \MG\ denote the intersection of all normalizers in \f G (i.e., \f{\MG=\cap_{H\leq G}N(H)}). \MG\ is always a subgroup of \f G and the index \f{[G:\MG]} can be taken as a measure of ``how non-Abelian'' \f G is (\f{[G:\MG] = 1} for Abelian groups). This measure was considered by Grigni, Schulman, Vazirani and Vazirani, who showed that whenever \f{[G:\MG]\in\exp(O(\log^{1/2}n))} the corresponding HSP can be solved efficiently (under certain assumptions). We show that whenever \f{[G:\MG]\in\poly(n)} the corresponding HSP can be solved efficiently, under the same assumptions (actually, we solve a slightly more general case of the HSP and also show that some assumptions may be relaxed).

An Improved Quantum Solution for the Stereo Matching Problem

2021 ◽  
Author(s):  
Shahrokh Heidari ◽  
Mitchell Rogers ◽  
Patrice Delmas
Keyword(s):  
Stereo Matching ◽  
Matching Problem ◽  
Quantum Solution

scholarly journals Quantum Solution to the Byzantine Agreement Problem

2001 ◽  
Vol 87 (21) ◽  
Author(s):  
Matthias Fitzi ◽  
Nicolas Gisin ◽  
Ueli Maurer
Keyword(s):  
Byzantine Agreement ◽  
Quantum Solution ◽  
Agreement Problem

Land bidding game with conflicting interest and its quantum solution

2017 ◽  
Vol 15 (05) ◽  
pp. 1750034 ◽  
Author(s):  
Haozhen Situ ◽  
Ramón Alonso-Sanz ◽  
Lvzhou Li ◽  
Cai Zhang
Keyword(s):  
Quantum Mechanics ◽  
Bell Inequalities ◽  
Free Rider ◽  
Common Interest ◽  
Quantum Game ◽  
Quantum Games ◽  
Bidding Game ◽  
Free Rider Problem ◽  
The Common ◽  
Quantum Solution

Recently, the first conflicting interest quantum game based on the nonlocality property of quantum mechanics has been introduced in A. Pappa, N. Kumar, T. Lawson, M. Santha, S. Y. Zhang, E. Diamanti and I. Kerenidis, Phys. Rev. Lett. 114 (2015) 020401. Several quantum games of the same genre have also been proposed subsequently. However, these games are constructed from some well-known Bell inequalities, thus are quite abstract and lack of realistic interpretations. In the present paper, we modify the common interest land bidding game introduced in N. Brunner and N. Linden, Nat. Commun. 4 (2013) 2057, which is also based on nonlocality and can be understood as two companies collaborating in developing a project. The modified game has conflicting interest and reflects the free rider problem in economics. Then we show that it has a fair quantum solution that leads to better outcome. Finally, we study how several types of paradigmatic noise affect the outcome of this game.

A quantum solution to a cosmological mystery

1992 ◽  
Vol 162 (1) ◽  
pp. 35-36 ◽  
Author(s):  
Euan J. Squires
Keyword(s):  
Quantum Solution

Spontaneous Radiation and Quantum Dynamics of Biological Plasma

2015 ◽  
Vol 1084 ◽  
pp. 168-172
Author(s):  
Vladimir Lasukov ◽  
Tatiana Lasukova ◽  
Viacheslav Novoselov ◽  
Evgenia Moldovanova
Keyword(s):  
Nonlinear Diffusion ◽  
Quantum Dynamics ◽  
Biological Systems ◽  
Spontaneous Radiation ◽  
Quantum Biology ◽  
The Earth ◽  
The Universe ◽  
Quantum Solution ◽  
Dust Plasma

A quantum solution of the Fisher–Kolmogorov–Petrovskii–Piskunov equation with convection and nonlinear diffusion is obtained which can provide the basis for the quantum biology and quantum microphysics equation. On this basis, quantum emission of biological systems, separate microorganisms (cells or bacteria), and dust plasma particles is investigated. The possibility arises of creating a generator of hard photons with energy higher than. Life on the Earth will probably need relic radiation, which might promote occurrence of life in the Universe.

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