scholarly journals Resource Preservability

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 244 ◽  
Author(s):  
Chung-Yun Hsieh
Keyword(s):  
General Model ◽  
Distance Measures ◽  
Resource Theory ◽  
Natural Question ◽  
Physical Processes ◽  
Classical Communication ◽  
New Family ◽  
Channel Resource ◽  
Operational Interpretation ◽  
Model Independent

Resource theory is a general, model-independent approach aiming to understand the qualitative notion of resource quantitatively. In a given resource theory, free operations are physical processes that do not create the resource and are considered zero-cost. This brings the following natural question: For a given free operation, what is its ability to preserve a resource? We axiomatically formulate this ability as the resource preservability, which is constructed as a channel resource theory induced by a state resource theory. We provide two general classes of resource preservability monotones: One is based on state resource monotones, and another is based on channel distance measures. Specifically, the latter gives the robustness monotone, which has been recently found to have an operational interpretation. As examples, we show that athermality preservability of a Gibbs-preserving channel can be related to the smallest bath size needed to thermalize all its outputs, and it also bounds the capacity of a classical communication scenario under certain thermodynamic constraints. We further apply our theory to the study of entanglement preserving local thermalization (EPLT) and provide a new family of EPLT which admits arbitrarily small nonzero entanglement preservability and free entanglement preservation at the same time. Our results give the first systematic and general formulation of the resource preservation character of free operations.

scholarly journals Approaches in highly parameterized inversion - GENIE, a general model-independent TCP/IP run manager

10.3133/tm7c6 ◽  
2012 ◽  
Author(s):  
Christopher T. Muffels ◽  
Willem A. Schreuder ◽  
John E. Doherty ◽  
Marinko Karanovic ◽  
Matthew J. Tonkin ◽  
...  
Keyword(s):  
General Model ◽  
Model Independent

scholarly journals Graph diffusion distance: Properties and efficient computation

PLoS ONE ◽  
2021 ◽  
Vol 16 (4) ◽  
pp. e0249624
Author(s):  
C. B. Scott ◽  
Eric Mjolsness
Keyword(s):  
Distance Measure ◽  
Fixed Time ◽  
Graph Laplacian ◽  
Upper Bounds ◽  
Distance Measures ◽  
Distance Metrics ◽  
Graph Products ◽  
Efficient Computation ◽  
New Family ◽  
Sparsity Constraints

We define a new family of similarity and distance measures on graphs, and explore their theoretical properties in comparison to conventional distance metrics. These measures are defined by the solution(s) to an optimization problem which attempts find a map minimizing the discrepancy between two graph Laplacian exponential matrices, under norm-preserving and sparsity constraints. Variants of the distance metric are introduced to consider such optimized maps under sparsity constraints as well as fixed time-scaling between the two Laplacians. The objective function of this optimization is multimodal and has discontinuous slope, and is hence difficult for univariate optimizers to solve. We demonstrate a novel procedure for efficiently calculating these optima for two of our distance measure variants. We present numerical experiments demonstrating that (a) upper bounds of our distance metrics can be used to distinguish between lineages of related graphs; (b) our procedure is faster at finding the required optima, by as much as a factor of 103; and (c) the upper bounds satisfy the triangle inequality exactly under some assumptions and approximately under others. We also derive an upper bound for the distance between two graph products, in terms of the distance between the two pairs of factors. Additionally, we present several possible applications, including the construction of infinite “graph limits” by means of Cauchy sequences of graphs related to one another by our distance measure.

scholarly journals MODEL INDEPENDENT CONSTRAINTS ON NON-ELECTRONIC FLAVORS IN THE SOLAR BORON NEUTRINO FLUX

2006 ◽  
Vol 21 (22) ◽  
pp. 1761-1768 ◽  
Author(s):  
S. DEV ◽  
SANJEEV KUMAR ◽  
SURENDER VERMA
Keyword(s):  
General Model ◽  
Sterile Neutrino ◽  
Neutrino Flux ◽  
Flux Measurement ◽  
Data Set ◽  
The Earth ◽  
Independent Analysis ◽  
Antineutrino Flux ◽  
Model Independent ◽  
Salt Phase

We perform the most general model-independent analysis of the latest 391-Day Salt Phase SNO Data Set incorporating the super-Kamiokande ES flux measurement and obtain bounds on the antineutrino and sterile neutrino flux in the solar 8 B neutrino flux reaching the detectors on the earth. The muon/tauon antineutrino flux is found to be disallowed at 1.4σ C.L. The sterile flux is found to be nonzero at about 1.26 standard deviations.

scholarly journals The D-CTC Condition is Generically Fulfilled in Classical (Non-quantum) Statistical Systems

2021 ◽  
Vol 51 (5) ◽  
Author(s):  
Jürgen Tolksdorf ◽  
Rainer Verch
Keyword(s):  
State Space ◽  
General Model ◽  
Quantum Systems ◽  
The State ◽  
Closed Timelike Curves ◽  
Original Proof ◽  
Quantum Nature ◽  
Model Independent ◽  
Quantum Statistical ◽  
Statistical Systems

AbstractThe D-CTC condition, introduced by David Deutsch as a condition to be fulfilled by analogues for processes of quantum systems in the presence of closed timelike curves, is investigated for classical statistical (non-quantum) bi-partite systems. It is shown that the D-CTC condition can generically be fulfilled in classical statistical systems, under very general, model-independent conditions. The central property used is the convexity and completeness of the state space that allows it to generalize Deutsch’s original proof for q-bit systems to more general classes of statistically described systems. The results demonstrate that the D-CTC condition, or the conditions under which it can be fulfilled, is not characteristic of, or dependent on, the quantum nature of a bi-partite system.

General Model Independent Searches for Physics Beyond the Standard Model

2020 ◽  
Author(s):  
Saranya Samik Ghosh ◽  
Thomas Hebbeker ◽  
Arnd Meyer ◽  
Tobias Pook
Keyword(s):  
Standard Model ◽  
General Model ◽  
Beyond The Standard Model ◽  
The Standard Model ◽  
Model Independent

scholarly journals Astrophysical tests of screened modified gravity

2018 ◽  
Vol 27 (15) ◽  
pp. 1848008 ◽  
Author(s):  
Jeremy Sakstein
Keyword(s):  
Solar System ◽  
Modified Gravity ◽  
General Model ◽  
Thin Shell ◽  
Gravity Models ◽  
Specific Category ◽  
Model Independent ◽  
Relativistic Gravitation ◽  
Modified Gravity Models ◽  
Hubble Flow

Screened modified gravity models evade solar system tests of relativistic gravitation but exhibit novel and interesting effects on scales between the solar system and the Hubble flow: astrophysical scales. In this paper, we review how astrophysical tests using stars, galaxies, and clusters can be used to constrain these theories. We classify screening into three categories: thin-shell (chameleon, symmetron, and dilaton models), Vainshtein screening (e.g. Galileons and Horndeski), and Vainshtein breaking (e.g. beyond Horndeski and DHOST) and discuss the optimal strategy for probing each. In many cases, this is driven by whether a specific category violates the equivalence principles (strong or weak). We summarize the general model-independent bounds on each screening category that have been derived in the literature.

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