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Oversimplifying quantum factoring

John A. Smolin, Graeme Smith, Alexander Vargo
2013 Nature  
We demonstrate how to factor products of large prime numbers using a compiled version of Shor's quantum factoring algorithm.  ...  Shor's algorithm for factoring in polynomial time on a quantum computerShor gives an enormous advantage over all known classical factoring algorithm.  ...  Someday, a quantum computer running Shor's factoring algorithm 1 may factor a number hitherto unthinkably large.  ... 
doi:10.1038/nature12290 pmid:23846653 fatcat:mbvkmbrttjcyjjyfrdo3vg3bmm

Optimized state transfer in systems of ultrastrongly coupled matter and radiation [article]

Luigi Giannelli, Jishnu Rajendran, Nicola Macrì, Giuliano Benenti, Simone Montangero, Elisabetta Paladino, Giuseppe Falci
2022 arXiv   pre-print
Ultrastrong coupling may allow faster operations for the development of quantum technologies at the expenses of increased sensitivity to new kind of intrinsic errors.  ...  The Hilbert space is spanned by the factorized basis {|nσ 2 σ 1 }, where |n are the oscillator's number eigenstates.  ...  thermodynamics [5] and quantum communication [2] besides being one of the most promising platforms for quantum hardware [19] .  ... 
arXiv:2203.03364v1 fatcat:hv3ydnjeqbcwlp36spdpzi7bz4

Kinematic relativity of quantum Hamiltonian [article]

Gintautas P. Kamuntavičius
2014 arXiv   pre-print
It is shown that the well-known relativistic correction of quantum Hamiltonian that is present in textbooks appears after quantization of oversimplified relativistic kinetic energy decomposition.  ...  The Schr\"odinger equation with this operator gives new interesting possibilities for quantum phenomena description.  ...  −1 In conclusion one has to pay attention to the fact that factor γ 2 = (1 − 2T0 /mc2 ) appears in front  ... 
arXiv:1401.1098v1 fatcat:l2g5blurajcbvp7imrnhtagydm

Gluon saturation effects on production in heavy ion collisions

Kirill Tuchin
2009 Nuclear Physics A  
It was proven in [20] that unless quantum 64 log(1/x) corrections become important, the inclusive gluon production satisfies the sum rule that 65 requires the nuclear modification factor to be of order  ...  This approach has 13 been previously applied in Ref. [7] to J/ψ production in dAu collisions, although the nuclear 14 geometry was oversimplified.  ... 
doi:10.1016/j.nuclphysa.2009.09.025 fatcat:pqdxx6fvcbgxfbzn2cwkx6y7za

Page 535 of None Vol. 97, Issue 2 [page]

1955 None  
General relativity, quantized, leaves no escape from topological complexi- ties of which Fig. 7 is only an oversimplified symbol.  ...  In this sense the door is open for the existence of charges in the quantum version of a theory that con- tains no charges.  ... 

Page 101 of Physical Review Vol. 88, Issue 1 [page]

1952 Physical Review  
This is no doubt an oversimplified version even of “current” belief, especially in the case of spin 4 particles.  ...  The more or less standard position seems to be that every elementary particle must have a definite ‘“‘in- trinsic parity” factor, which can be determined un- ambiguously from experiment?  ... 

CTD2020: A Quantum Graph Network Approach to Particle Track Reconstruction

Cenk Tüysüz, Bilge Demirkoz, Daniel Dobos, Fabio Fracas, Federico Carminati, Jean-Roch Vlimant, Karolos Potamianos, Kristiane Novotny, Sofia Vallecorsa
2020 Zenodo  
In previous work, we have shown a first attempt of Quantum Computing to Graph Neural Networks for track reconstruction of particles.  ...  As the next step in this paper, we present an improved model with an iterative approach to overcome the low accuracy convergence of the initial oversimplified Tree Tensor Network (TTN) model.  ...  computing allows a new way of computation for certain problems including; • Prime number factorization • Solving Linear Equations • Machine Learning!  ... 
doi:10.5281/zenodo.4034370 fatcat:mlvzcetohvazbebmtklnuknv3u

Splitting of quantum information in traveling wave fields using only linear optical elements [article]

W. B. Cardoso, N. G. de Almeida, A. T. Avelar, B. Baseia
2009 arXiv   pre-print
An oversimplified scheme is also proposed for the generation of a class of W states useful for perfect teleportation and superdense coding.  ...  In this brief report we present a feasible scheme to split quantum information in the realm of traveling waves.  ...  In addition, we show how to engineer a class of W states suitable for perfect quantum teleportation and superdense coding, with 100% success probability, making use of an oversimplified scheme.  ... 
arXiv:0909.0429v1 fatcat:46e2xvuubfggvfcadgsloh6aaq

Page 844 of Journal of Chemical Physics Vol. 33, Issue 3 [page]

1960 Journal of Chemical Physics  
MATHEMATICAL METHODS The calculations may be approached either classically or quantum-mechanically.  ...  For barriers with less than threefold symmetry, we have calculated the temperature dependence for various oversimplified barrier shapes with the hope of then being able to generalize to a certain extent  ... 

Complex Adaptive Behavior of Hybrid Teams

Mustafa Canan, Andres Sousa-Poza, Anthony Dean
2017 Procedia Computer Science  
This can be done Hilbert space by using the quantum probability theories. Conclusion Classical probability theory has become a limiting factor in studying human behavior.  ...  Present approaches oversimplify the nature of the aporia, and as a result, solutions are also oversimplified, or more likely, prone to being wrong or ineffective [7] .  ... 
doi:10.1016/j.procs.2017.09.013 fatcat:xzw3im57z5b6fkienjiras27ri

Page 1714 of Mathematical Reviews Vol. , Issue 91C [page]

1991 Mathematical Reviews  
(iii) “only the phase factor exp((ie/fic) § A,dx“) and not the phase factor (e/fic) § A,dx“ is physically meaningful” {Tai Tsun Wu and Chen Nin Yang, Phys. Rev.  ...  Sakurai, Modern quantum mechanics, Benjamin, Menlo Park, CA, 1985].  ... 

An enlightening procedure to explain the extreme power of synchrotron radiation

Giorgio Margaritondo
2019 Journal of Synchrotron Radiation  
A simple approach exploits quantum properties to justify the dependence on γ4 of the total synchrotron emitted power.  ...  the Doppler factor.  ...  A simple approach exploits quantum properties to justify the dependence on 4 of the total synchrotron emitted power.  ... 
doi:10.1107/s1600577519010932 fatcat:ty7otqk55ngefb4hic3obja6he

Quantum Factoring Algorithm: Resource Estimation and Survey of Experiments [chapter]

Noboru Kunihiro
2020 Mathematics for Industry  
In this study, we investigate the details of quantum circuits used in several factoring experiments.  ...  Because the order must be unknown in the experiments, they are inappropriate for designing the quantum circuit of Shor's factoring algorithm.  ...  Tetsuya Izu, who gave the information about quantum factoring circuits. They also thank Prof. Naoki Yamamoto and Prof. Yutaka Shikano for helpful discussions.  ... 
doi:10.1007/978-981-15-5191-8_7 fatcat:56cuaocvrbhytie3vqztytatgm

Comment on "Do Intradot Electron-Electron Interactions Induce Dephasing?"

Jürgen König, Yuval Gefen, Alessandro Silva
2005 Physical Review Letters  
Lett. 93, 076802 (2004), cond-mat/0408261] study transport through an interacting quantum dot embedded in one arm of an Aharonov-Bohm interferometer.  ...  Equations (3) and (4) differ by a factor 1/[1+f (ǫ)] 2 , where f (ǫ) is the Fermi function.  ...  The latter is an effective single-particle approximation that oversimplifies the role of interaction.  ... 
doi:10.1103/physrevlett.94.179701 pmid:15904344 fatcat:nciusqfacnbf5faqbgj6xccumy

Comment on "Conductance and Shot Noise for Particles with Exclusion Statistics"

M. P. Das, F. Green
2000 Physical Review Letters  
Not surprisingly, the oversimplified counting leads again to a familiar difficulty: a term must be added ad hoc to keep faith with the FDT.  ...  At filling factor n 1͞m (m is an odd integer) the Hall resistivity reaches a plateau, showing that the correlated quasiparticles carry fractional charge ne.  ... 
doi:10.1103/physrevlett.85.222 pmid:10991199 fatcat:simrinaw2fgpzfm52kec7ydvdm
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