![]() The presented results are also relevant for quantum thermodynamics, as we demonstrate by introducing the class of Gibbs-preserving strictly incoherent operations, and solving the corresponding mixed-state conversion problem for a single qubit. For the resource theory of coherence, the free states are quantum states which are diagonal in a prexed. Any quantum resource theory is characterized by two fun-damental ingredients, namely, free states and free operations 1113. For a single qubit, we show that the number of incoherent Kraus operators is not more than 5, and it remains an open question if this number can be reduced to 4. quantify coherence but also provides a platform to understand quantum coherence from a different perspective. In this work, we contribute to such a characterization by proving several upper bounds on the maximum number of incoherent Kraus operators in a general incoherent operation. An important open problem in this context is a simple characterization for incoherent operations, constituted by all possible transformations allowed within the resource theory of coherence. The recently established resource theory of quantum coherence studies possible quantum technological applications of quantum coherence, and limitations which arise if one is lacking the ability to establish superpositions. This work provides evidence that, to apply the laws of thermodynamics to the smallest systems around us, we must develop deeper insights into the nature of quantum information.Download a PDF of the paper titled Structure of the resource theory of quantum coherence, by Alexander Streltsov and 3 other authors Download PDF Abstract:Quantum coherence is an essential feature of quantum mechanics which is responsible for the departure between classical and quantum world. It has long been appreciated that thermodynamics is subtly interlinked with the notion of information. Others topics that are investigated here is what is the role of correlations at the smallest scales and the conversion of quantum coherence into work. 4 Visit for the most up-to-date specification, resources, support and administration. These limitations are related to those dictated on energy transfer by the second law of thermodynamics. We will write to you if there are significant changes to the specification. By considering an isolated quantum system connected, for some period of time, to a thermal bath, we give fundamental limitations on how coherence can be irreversibly manipulated. We argue that coherence should be thought of as a distinctly quantum-mechanical thermodynamic resource. This fact allows us to quantify the ways in which coherence can play an active role, facilitating otherwise impossible thermodynamic transformations. We provide a simple and elegant formulation for the processing of coherence in thermodynamics, relying on the fact that thermodynamical processes possess an underlying time-translation symmetry. In this thesis we focus on the property of quantum coherence, the ability of quantum systems to emulate Schrodinger’s cat and somehow be neither dead nor alive, but something completely different altogether. There is much more, however, to quantum theory than energy quantization. Even as both our technology and our theoretical investigations have extended to ever-smaller devices, our understanding of quantum effects on thermodynamics has remained almost exclusively limited to the quantized nature of energy. The measure of quantumness in experimentally observed NOs is studied via quantum resource theory (QRT). ![]() By considering an isolated quantum system connected. Thus began the long and intimate relationship between the field of thermodynamics, which explores our ability to manipulate heat and other energy transfers between macroscopic systems, and quantum mechanics, which explains the dynamics of individual microscopic systems. The violation of the classical bounds imposed by Leggett-Garg inequalities has tested the quantumness of neutrino oscillations (NOs) over a long distance during the propagation. We argue that coherence should be thought of as a distinctly quantum-mechanical thermodynamic resource. Planck found, when attempting to describe the way in which hot bodies glow, that energy at microscopic scales often comes in discrete chunks. The resource theory of quantum thermodynamics
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