scholarly journals Constructing tensor network influence functionals for general quantum dynamics

2021 ◽  
Vol 155 (4) ◽  
pp. 044104
Author(s):  
Erika Ye ◽  
Garnet Kin-Lic Chan
Keyword(s):  
Quantum Dynamics ◽  
General Quantum ◽  
Tensor Network

scholarly journals Quantifying spatial correlations of general quantum dynamics

2015 ◽  
Vol 17 (6) ◽  
pp. 062001 ◽  
Author(s):  
Ángel Rivas ◽  
Markus Müller
Keyword(s):  
Quantum Dynamics ◽  
Spatial Correlations ◽  
General Quantum

scholarly journals Tight, robust, and feasible quantum speed limits for open dynamics

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 168 ◽  
Author(s):  
Francesco Campaioli ◽  
Felix A. Pollock ◽  
Kavan Modi
Keyword(s):  
Quantum Dynamics ◽  
Quantum Evolution ◽  
Speed Limit ◽  
Mixed States ◽  
Memory Kernel ◽  
Speed Limits ◽  
Open Quantum ◽  
General Quantum ◽  
Almost All

Starting from a geometric perspective, we derive a quantum speed limit for arbitrary open quantum evolution, which could be Markovian or non-Markovian, providing a fundamental bound on the time taken for the most general quantum dynamics. Our methods rely on measuring angles and distances between (mixed) states represented as generalized Bloch vectors. We study the properties of our bound and present its form for closed and open evolution, with the latter in both Lindblad form and in terms of a memory kernel. Our speed limit is provably robust under composition and mixing, features that largely improve the effectiveness of quantum speed limits for open evolution of mixed states. We also demonstrate that our bound is easier to compute and measure than other quantum speed limits for open evolution, and that it is tighter than the previous bounds for almost all open processes. Finally, we discuss the usefulness of quantum speed limits and their impact in current research.

scholarly journals Tensor network simulation of multi-environmental open quantum dynamics via machine learning and entanglement renormalisation

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Florian A. Y. N. Schröder ◽  
David H. P. Turban ◽  
Andrew J. Musser ◽  
Nicholas D. M. Hine ◽  
Alex W. Chin
Keyword(s):  
Machine Learning ◽  
Quantum Dynamics ◽  
Network Simulation ◽  
Open Quantum ◽  
Tensor Network

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 Quantum Dynamics of an Excess Proton in Water.

1995 ◽  
Author(s):  
J. Lobaugh ◽  
Gregory A. Voth
Keyword(s):  
Quantum Dynamics
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