scholarly journals Molecular Quantum Dynamics: A Quantum Computing Perspective

2021 ◽  
Author(s):  
Pauline J. Ollitrault ◽  
Alexander Miessen ◽  
Ivano Tavernelli
Keyword(s):  
Quantum Computing ◽  
Quantum Dynamics

scholarly journals Biomolecular Quantum Computation

2020 ◽  
Vol 2020 (10) ◽  
pp. 1007
Author(s):  
Terry Bollinger
Keyword(s):  
Quantum Computing ◽  
Molecular Modeling ◽  
Quantum Computation ◽  
Quantum Dynamics ◽  
Computational Models ◽  
Molecular Level ◽  
Full Range ◽  
Total Power ◽  
Digital Format ◽  
Richard Feynman

In terms of leveraging the total power of quantum computing, the prevalent current (2020) model of designing quantum computation devices to follow the von Neuman model of abstraction is highly unlikely to be making full use of the full range of computational assistance possible at the atomic and molecular level. This is particularly the case for molecular modeling, in using computational models that more directly leverage the quantum effects of one set of molecules to estimate the behavior of some other set of molecules would remove the bottleneck of insisting that modeling first be converted to the virtual binary or digital format of quantum von Neuman machines. It is argued that even though this possibility of “fighting molecular quantum dynamics with molecular quantum dynamics” was recognized by early quantum computing founders such as Yuri Manin and Richard Feynman, the idea was quickly overlooked in favor of the more computer-compatible model that later developed into qubits and qubit processing.

scholarly journals SHORT-TIME DECOHERENCE AND DEVIATION FROM PURE QUANTUM STATES

2002 ◽  
Vol 16 (13) ◽  
pp. 459-465 ◽  
Author(s):  
VLADIMIR PRIVMAN
Keyword(s):  
Quantum Computing ◽  
Error Correction ◽  
Low Temperatures ◽  
Quantum Dynamics ◽  
Quantum States ◽  
New Formalism ◽  
Processing Information ◽  
Short Time ◽  
Short Times

In systems considered for quantum computing, i.e., for control of quantum dynamics with the goal of processing information coherently, decoherence and deviation from pure quantum states, are the main obstacles to error correction. At low temperatures, usually assumed in quantum computing designs, some of the accepted approaches to evaluation of relaxation mechanisms break down. We develop a new formalism for the estimation of decoherence at short times, appropriate for evaluation of quantum computing architectures.

scholarly journals Current-driven quantum dynamics of toroidal moment in rare-earth nanoclusters

2018 ◽  
Vol 185 ◽  
pp. 11004
Author(s):  
D.I. Plokhov ◽  
A.I. Popov ◽  
A.K. Zvezdin
Keyword(s):  
Quantum Computing ◽  
Rare Earth ◽  
Single Molecule ◽  
Quantum Dynamics ◽  
Degree Of Freedom ◽  
External Current ◽  
Rare Earth Ion ◽  
Single Molecule Magnets ◽  
Tunneling Model

The current-driven quantum dynamics of toroidal moment in single molecule magnets with polygonal rare-earth ion core is investigated. The effects of an external current is considered both in equilibrium and in the frames of the Landau-Zener-Stückelberg tunneling model. It is shown that the toroidal moment is a suitable degree of freedom for using the systems in question as qubits in quantum computing.

scholarly journals CLASSICAL ODE AND PDE WHICH OBEY QUANTUM DYNAMICS

2002 ◽  
Vol 12 (10) ◽  
pp. 2031-2049 ◽  
Author(s):  
PAUL J. WERBOS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Computing ◽  
Quantum Measurement ◽  
Quantum Dynamics ◽  
Emergent Properties ◽  
Quantum Field ◽  
Superstring Theory ◽  
Classical Systems ◽  
Statistical Correlations

It is well known that classical systems governed by ODE or PDE can have extremely complex emergent properties. Many researchers have asked: is it possible that the statistical correlations which emerge over time in classical systems would allow effects as complex as those generated by quantum field theory (QFT)? For example, could parallel computation based on classical statistical correlations in systems based on continuous variables, distributed over space, possibly be as powerful as quantum computing based on entanglement? This paper proves that the answer to this question is essentially "yes," with certain caveats. More precisely, the paper shows that the statistics of many classical ODE and PDE systems obey dynamics remarkably similar to the Heisenberg dynamics of the corresponding quantum field theory (QFT). It supports Einstein's conjecture that much of quantum mechanics may be derived as a statistical formalism describing the dynamics of classical systems. Predictions of QFT result from combining quantum dynamics with quantum measurement rules. Bell's Theorem experiments which rule out "classical field theory" may therefore be interpreted as ruling out classical assumptions about measurement which were not part of the PDE. If quantum measurement rules can be derived as a consequence of quantum dynamics and gross thermodynamics, they should apply to a PDE model of reality just as much as they apply to a QFT model. This implies: (1) the real advantage of "quantum computing" lies in the exploitation of quantum measurement effects, which may have possibilities well beyond today's early efforts; (2) Lagrangian PDE models assuming the existence of objective reality should be reconsidered as a "theory of everything." This paper will review the underlying mathematics, prove the basic points, and suggest how a PDE-based approach might someday allow a finite, consistent unified field theory far simpler than superstring theory, the only known alternative to date.

Discrete variable gate-model quantum computing

2019 ◽  
Author(s):  
Mark Fingerhuth ◽  
Tomáš Babej ◽  
Peter Wittek
Keyword(s):  
Quantum Computing ◽  
Discrete Variable

THE NOTHING THAT REALLY IS!

2016 ◽  
Vol 12 (1) ◽  
pp. 4172-4177
Author(s):  
Abdul Malek
Keyword(s):  
Quantum Dynamics ◽  
Theoretical Physics ◽  
Historical Evolution ◽  
Proper Understanding ◽  
Physical Universe ◽  
Wave Particle Duality ◽  
Negative Effect ◽  
Materialist Interpretation

The denial of the existence of contradiction is at the root of all idealism in epistemology and the cause for alienations.  This alienation has become a hindrance for the understanding of the nature and the historical evolution mathematics itself and its role as an instrument in the enquiry of the physical universe (1). A dialectical materialist approach incorporating  the role of the contradiction of the unity of the opposites, chance and necessity etc., can provide a proper understanding of the historical evolution of mathematics and  may ameliorate  the negative effect of the alienation in modern theoretical physics and cosmology. The dialectical view also offers a more plausible materialist interpretation of the bewildering wave-particle duality in quantum dynamics (2).

Classical and Quantum Dynamics

1994 ◽  
Author(s):  
Walter Dittrich ◽  
Martin Reuter
Keyword(s):  
Quantum Dynamics

The Essence of Quantum Computing

2018 ◽  
Author(s):  
Rajendra K. Bera
Keyword(s):  
Hilbert Space ◽  
Quantum Computing ◽  
Quantum Physics ◽  
Quantum Algorithms ◽  
Quantum Computers ◽  
Turing Machines ◽  
Classical Physics ◽  
Core Set ◽  
The World ◽  
Subordinate Role

It now appears that quantum computers are poised to enter the world of computing and establish its dominance, especially, in the cloud. Turing machines (classical computers) tied to the laws of classical physics will not vanish from our lives but begin to play a subordinate role to quantum computers tied to the enigmatic laws of quantum physics that deal with such non-intuitive phenomena as superposition, entanglement, collapse of the wave function, and teleportation, all occurring in Hilbert space. The aim of this 3-part paper is to introduce the readers to a core set of quantum algorithms based on the postulates of quantum mechanics, and reveal the amazing power of quantum computing.

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