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Resource theory of quantum coherence12/30/2023 ![]() We then show that in the asymptotic limit of many copies of a state, both are given by simple single-letter formulas: the distillable coherence is given by the relative entropy of coherence (in other words, we give the relative entropy of coherence its operational interpretation), and the coherence cost by the coherence of formation, which is an optimization over convex decompositions of the state.Īn immediate corollary is that there exists no bound coherent state in the sense that one would need to consume coherence to create the state but no coherence could be distilled from it. Namely, we introduce the two basic concepts - "coherence distillation" and "coherence cost" in the processing quantum states under so-called incoherent operations. ![]() A hybrid quantum-classical machine learning framework has been proposed to improve the performance of correlation data-based approaches, showing comparable performance to moment-based approaches and noise-resistant capability.Download a PDF of the paper titled Operational Resource Theory of Coherence, by Andreas Winter and Dong Yang Download PDF Abstract:We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Machine learning approaches based on moments have shown advantages over those based on correlation data, although the cost of measuring moments is higher. Neural network-assisted protocols have been developed to measure entanglement in quantum states using single-qubit or two-qubit Pauli measurements, such as Rényi entropy and partially-transposed moments. However, when few measurements are allowed, highly entangled data can lead to increased prediction error. With a sufficient number of measurements, increasing entanglement consistently reduces prediction error or decreases the required training data size to achieve the same error. The entanglement degree in data has a dual effect on prediction error, depending on the number of permitted measurements. What are the key components of a hybrid simulator?ĥ answers Entanglement plays a crucial role in quantum machine learning (QML) by reducing the required training data size and improving model performance. Understanding these factors is crucial for controlling bacterial contamination and developing effective strategies to prevent biofilm formation on different surfaces. Additionally, the available surface area and the deformability of bacterial cells can impact bacterial adhesion strength and subsequent biofilm formation. Roughness, including summit density and peak and valley structure, can influence microbial viability and exopolysaccharide abundance, as well as the expression of surface proteins related to pathogenicity. Surface chemistry and hydrophobicity also play a role, with hydrophobic surfaces generally promoting bacterial adhesion. Surface topography, such as the size and arrangement of surface features, can affect the distribution, density, dispersion, and clustering of bacteria on a surface. These abstracts indicate that the market for piezoelectric sensors is diverse, with applications ranging from energy generation to healthcare and security systems.ĥ answers The factors affecting bacterial growth on different surfaces include surface topography, surface chemistry, hydrophobicity, and roughness. Boyd and Mainini describe a piezoelectric perimeter security system that uses sensors to differentiate between threatening and non-threatening breaches and for property and pet containment. disclose a piezoelectric sensing apparatus that effectively boosts high-frequency signals and weakens low-frequency signals for improved positioning accuracy. Zhang and Yu highlight the importance of piezoelectric materials that can function at high temperatures for structural health monitoring and nondestructive evaluation. Nakajima discusses the use of piezoelectric sensors in implantable systems for aiding hearing. They can be used for power generation and energy harvesting, as proposed by Malhotra et al. What is the market on piezoelectric sensors? 0 answers Piezoelectric sensors have various applications in different fields.
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