Quantum measurements constrained by the third law of thermodynamics

Mohammady, M. Hamed; Miyadera, Takayuki

doi:10.1103/physreva.107.022406

Cited by 7 publications

(2 citation statements)

References 62 publications

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“…Since such an investigation is missing for the IRT-based flow visualization, understanding how to include previous knowledge into a measurement means reaching out to other fields of research. Mohammady and Miyadera used previous knowledge in the form of a physical law as a constraint to improve their measurement [20]. Constraints are a straightforward approach to including previous knowledge, but previous knowledge cannot always be formulated in a suitable form.…”

Section: State Of the Artmentioning

confidence: 99%

Bayesian-Based Approach for the Thermographic Measurement of Flow Transition on Wind Turbine Rotor Blades

Dieckmann,

Dorszewski,

Balaresque

et al. 2024

Applied Sciences

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The position of the laminar–turbulent flow transition affects the aerodynamic efficiency of wind turbine rotor blades. An established diagnostic tool is infrared thermography, which enables flow visualization on in-service wind turbines, including the detection of the flow transition position. For the first time, the capabilities of a Bayesian-based image evaluation on the basis of previous knowledge are investigated for maximizing the measurement quality in particular for those weather conditions with a low contrast-to-noise ratio. The Bayesian framework is assessed using simulated and measured thermographic images, incorporating a probability distribution of the transition position. Results indicate that utilizing previous knowledge, especially when normally distributed around the true transition position with a standard deviation of 3 px, significantly reduces uncertainty for thermographic images with a contrast-to-noise ratio <7. Additionally, the Bayesian framework enhances the visualization of transition progression along the radial blade axis, yielding a less noisy result. Previous experimental data can be used to reduce uncertainty for erroneous transition position detections. In conclusion, the integration of high-quality previous knowledge through Bayesian inference proves to be effective in lowering the uncertainty of the position measurement of the laminar–turbulent transition on wind turbine rotor blades, with no compromise of the spatiotemporal resolution.

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Section: State Of the Artmentioning

confidence: 99%

Bayesian-Based Approach for the Thermographic Measurement of Flow Transition on Wind Turbine Rotor Blades

Dieckmann,

Dorszewski,

Balaresque

et al. 2024

Applied Sciences

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show abstract

“…The corresponding entropy increase in the reservoir is not smaller than the von Neumann entropy change generated during the course of the measurements, proving Landauer's principle. Mohammady and Miyadera [39] showed that the unattainability of pure states implies that a unitary interaction between the measured system and a measuring apparatus can never implement an ideal projective measurement. This unattainability follows from the Third Law of thermodynamics, according to which the zero-entropy state would correspond to the absolute zero temperature.…”

Section: Time and Quantum Measurementmentioning

confidence: 99%

Toward the Relational Formulation of Biological Thermodynamics

Igamberdiev

2023

Entropy

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Classical thermodynamics employs the state of thermodynamic equilibrium, characterized by maximal disorder of the constituent particles, as the reference frame from which the Second Law is formulated and the definition of entropy is derived. Non-equilibrium thermodynamics analyzes the fluxes of matter and energy that are generated in the course of the general tendency to achieve equilibrium. The systems described by classical and non-equilibrium thermodynamics may be heuristically useful within certain limits, but epistemologically, they have fundamental problems in the application to autopoietic living systems. We discuss here the paradigm defined as a relational biological thermodynamics. The standard to which this refers relates to the biological function operating within the context of particular environment and not to the abstract state of thermodynamic equilibrium. This is defined as the stable non-equilibrium state, following Ervin Bauer. Similar to physics, where abandoning the absolute space-time resulted in the application of non-Euclidean geometry, relational biological thermodynamics leads to revealing the basic iterative structures that are formed as a consequence of the search for an optimal coordinate system by living organisms to maintain stable non-equilibrium. Through this search, the developing system achieves the condition of maximization of its power via synergistic effects.

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Nonadditive generalization of the Gentile statistics

Rovenchak

2023

Low Temperature Physics

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The Gentile statistics interpolates between the standard bosonic and fermionic statistics, allowing an intermediate maximum state occupation 1< M < ∞. A generalization of this statistics having the Gibbs factor es/T phenomenologically substituted with the nonadditive Tsallis q-exponential is analyzed. Depending on the values of the statistics parameter q, peculiarities of the thermodynamic functions are observed: for q > 1, a finite (nonzero) minimum temperature arises in the model, while for q < 1, the specific heat does not tend to zero at T → 0. These results are consistent with previously reported for a similar generalization of the fermionic statistics [A. Rovenchak and B. Sobko, Physica A534, 122098 (2019)]. Their relevance for modeling phenomena in real physical systems is briefly outlined.

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Quantum measurements constrained by the third law of thermodynamics

Cited by 7 publications

References 62 publications

Bayesian-Based Approach for the Thermographic Measurement of Flow Transition on Wind Turbine Rotor Blades

Bayesian-Based Approach for the Thermographic Measurement of Flow Transition on Wind Turbine Rotor Blades

Toward the Relational Formulation of Biological Thermodynamics

Nonadditive generalization of the Gentile statistics

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