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Amplified and quantum based brain storm optimization algorithms for real power loss reduction

2021
*
International Journal of Applied Power Engineering (IJAPE)
*

*A*node is arbitrarily chosen from the graph as the preliminary point to form

*a*

*Hamiltonian*cycle. ... Monte Carlo simulation method is used, to measure the position

*for*each

*idea*from the quantum state to the traditional one. ... Amplified and quantum based brain storm optimization algorithms

*for*real power… (Kanagasabai Lenin)Step 6:

*new*-fangled individuals are engendered Calculate the

*Hamiltonian*cycle C and its extent Lt by ...

##
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Book Review: Critical point theory and submanifold geometry

1992
*
Bulletin of the American Mathematical Society
*

Various

doi:10.1090/s0273-0979-1992-00255-0
fatcat:4uosigyfhrbzxd3qm6orriekma
*new**ideas*,*for*example, the Mountain Pass Lemma and the Morse-Ekeland Index, are also described. ... study of nonlinear*Hamiltonian*systems; while*for*Critical Point Theory the*ideas*described seem relatively unmotivated instead of coming from*a*coherent geometric picture of mechanics. ...##
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Addressing hard classical problems with Adiabatically Assisted Variational Quantum Eigensolvers
[article]

2018
*
arXiv
*
pre-print

The rational

arXiv:1806.02287v1
fatcat:qf6etcbxzzbglb34q5fvzhjhgy
*for*this*new*algorithm is to circumvent the*problem*of facing very small gradients in the classical optimization piece of*a*VQE, while being able to run in current hardware efficient devices ... We present*a*hybrid classical-quantum algorithm to solve optimization*problems*in current quantum computers, whose basic*idea*is to assist variational quantum eigensolvers (VQE) with adiabatic change of ... This is rapidly corrected by the*new*optimization, which produces*a**new*ground state*for*H(s i+1 ). The final ground state encodes the solution to the target*problem*. ...##
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Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise

2013
*
Numerical Algorithms
*

Here we extend these

doi:10.1007/s11075-013-9796-6
fatcat:pd6sgm2qqrc4laqwbl3c7cnsqy
*ideas*to stochastic*Hamiltonian**problems*with additive noise and show that there are classes of Runge-Kutta methods that are very effective in preserving the expectation of the*Hamiltonian*... Acknowledgements The authors would like to thank Luigi Brugnano and Grant Lythe*for*various discussions on issues related to this submission. ... Burrage and Burrage [7] then propose*a**new*formulation of*a*Runge-Kutta method that involves using s + 1 samples of*a*Wiener process per step. This*idea*is in line with the*ideas*of Brugnano et al. ...##
###
Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
[article]

2021
*
arXiv
*
pre-print

As

arXiv:2106.08681v2
fatcat:rlalzlztzbg7potr5a52dy2lpe
*a*superconducting integrated circuit,*a**problem**Hamiltonian*whose set of ground states is consistent with*a*given truth table is implemented*for*quantum annealing with no redundant qubits. ...*A*proof-of-concept demonstration of*a*hybrid computing architecture*for*domain-specific quantum computing is described. ... In cases where the*problem**Hamiltonian*does not fit the fixed topology, we need to construct*a**new**problem**Hamiltonian*satisfying two conditions: 1) interactions in the*new**problem**Hamiltonian*are consistent ...##
###
A SPECIAL CASE OF LONGEST PATH PROBLEM

2019
*
Figshare
*

We have that

doi:10.6084/m9.figshare.7750937.v1
fatcat:j264rmpl5nb2vdwvoao2yhmf7y
*Hamiltonian*Path can be reduced to*a*special case of Longest Path*Problem*. ... Definition and claim*Idea*: Reduction from*Hamiltonian*path. ... Try to think how many vertices should be added to*a*special instance G = (V, E) of longest path*problem*so that if there is*a*path of length at least |V| 4 in G then there is*a**Hamiltonian*path in G. ...##
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Gravity, time and varying constants
[article]

2018
*
arXiv
*
pre-print

There are theories which implement the

arXiv:1807.09818v1
fatcat:oos77yzc75bwjig4j4ezj3jpzu
*idea*that the constants of nature may be "time dependent." These introduce*new*fields representing "evolving constants," in addition to physical fields. ... We illustrate the*idea*in scalar field cosmology with spatial volume as*a*global clock, and compute the time dependence of the scalar mass and self-interaction coupling constants. ... This involved*a*global choice of time, an expansion of*a*square root*Hamiltonian*, and*a*canonical transformation. Unlike other approaches, no*new*fields, couplings or actions were necessary. ...##
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The Use of the Monte Carlo Hamiltonian
[article]

2003
*
arXiv
*
pre-print

Here we discuss

arXiv:hep-lat/0301012v1
fatcat:u7dxg4y5znez5d3tgynhor7txi
*a*recently proposed alternative*Hamiltonian*lattice formulation - the Monte Carlo*Hamiltonian*. ... We address properties of the MC*Hamiltonian*, like*a*finite temperature window, and scaling properties. ... The*problem*with such procedure is that*a*cut-off in Fock space particle number and in high momentum is uncontrolled.*A*much better*idea*is the renormalisation group*idea*by Kadanoff and Wilson. ...##
###
A Direct Shooting Method is Equivalent to an Indirect Method
[article]

2020
*
arXiv
*
pre-print

*A*mathematical explanation is provided

*for*the successes and failures of such patched nonlinear programming methods. ... We also show that

*a*theoretical equivalence does not necessarily translate to practical equivalence if the parameterized optimal control

*problem*is simply patched to

*a*nonlinear programming solver. ... Recently, these

*ideas*have reemerged as

*a*

*new*field

*for*designing and analyzing optimization algorithms [2, 15, 16, 17, 18] . ...

##
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Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems
[article]

2010
*
arXiv
*
pre-print

Often, the insistence in following

arXiv:1008.4789v4
fatcat:ugw7olxtcvcyrkw2gtm5ddcth4
*a*path already traced in the continuous setting, has caused waste of time and efforts, whereas*new*specific tools have solved the*problems*both more easily and elegantly ...*problems*, are often insufficient to handle the discrete case, and*new*specific tools are needed. ... The*new**idea*was to design methods working*for*finite values of h, at least*for*dissipative*problems*. This led to the already mentioned definition of*A*-stability. ...##
###
Experimental Demonstrations of Native Imple-mentation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer

2021
*
IEEE Transactions on Quantum Engineering
*

Inomata

doi:10.1109/tqe.2021.3106776
fatcat:7nrhjg2yvfdljdmavnekjx23zu
*for*his dedicated support in the experiments, and Y. Araga and K. Kikuchi*for*their heartfelt cooperation. ... In cases where the*problem**Hamiltonian*does not fit the fixed topology, we need to construct*a**new**problem**Hamiltonian*satisfying two conditions: 1) interactions in the*new**problem**Hamiltonian*are consistent ... The first*problem*is that performing quantum annealing on the original and the*new**problem**Hamiltonian*can have drastically different efficiencies. ...##
###
Page 1930 of Mathematical Reviews Vol. , Issue 97C
[page]

1997
*
Mathematical Reviews
*

Summary: “We present

*a**new*system*for*image processing based on the topological theory of manifolds. ... These*new*concepts and algorithm are promising in binary image extraction. In this paper, the color classification*for**a*color geographic map image is considered.” ...##
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The Density Matrix Renormalization Group
[chapter]

2013
*
Springer Series in Solid-State Sciences
*

From its original formulation in

doi:10.1007/978-3-642-35106-8_2
fatcat:xou5bl4hhngkbboio4zjfmn35u
*a*condensed matter context, it has been adapted to study*problems*in various fields, such as nuclear physics and quantum chemistry, becoming one of the dominant numerical ... In this chapter, we shall cover many technical aspects of the DMRG, from*a*"traditional", or "conventional" perspective, describing the theoretical fundamentation, as well as the details of the algorithm ... with m largest eigenvalues to build the*new*blocks*for*the next step (d) (*a*) (b) (c) (d) • Build all the operator matrices*for**a*single-site*Hamiltonian*, and the operators involved in the interactions ...##
###
Unitary transformations depending on a small parameter

2011
*
Proceedings of the Royal Society A
*

The original

doi:10.1098/rspa.2011.0388
fatcat:kle3x7lubfauhgi6xm32lasjja
*Hamiltonian*is converted into*a*solvable one by*a*transformation obtained through*a*Magnus expansion. This ensures unitarity at every order in*a*small parameter. ... We formulate*a*unitary perturbation theory*for*quantum mechanics inspired by the Lie-Deprit formulation of canonical transformations. ... Then the*idea*is to look*for**a*unitary transformation T (e) (or 'canonical transformation' in the language of matrix mechanics) such that the*new**Hamiltonian*K = T † HT is diagonal. ...##
###
Page 3236 of Mathematical Reviews Vol. , Issue 93f
[page]

1993
*
Mathematical Reviews
*

This paper provides

*a**new*reduction theorem*for**a*special class of Poisson manifolds called bi-*Hamiltonian*manifolds. They are manifolds equipped with*a*pair of compatible Poisson brackets. ...*Ideas*like this show great promise*for*also understanding the sense in which modulation equations are*Hamiltonian*(see,*for*example,*a*paper by N. Ercolani et al. [Duke Math. ...
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