9/7/2023 0 Comments Can entropy be negative![]() Microscopic arrangement of positions and energies So going back to our boxes,īox 1, box 2 and box 3, each box shows a different To the kinetic energies of the particles. ![]() With an ideal gas here, by energies, we're referring Microscopic arrangement of all of the positions andĮnergies of the gas particles. Of each particle is equal to 1/2 mv squared, where m is the mass of each Particles are meant to represent the velocities of the particles. And the magnitude and theĭirection give a velocity. However, when we put anĪrrow on each particle, that also gives us the direction. Of a particle tells us how fast the particle is traveling. Slightly different positions and the velocities might have changed. Particles in our system at one moment in time, in box 1, if we think about them atĪ different moment in time, in box 2, the particles might be in Slamming into each other and transferring energy from Slamming into the sides of the container and maybe Here in the first box, imagine these gas particles However, from a microscopic point of view, things are changing all of the time. So from a macroscopic point of view, nothing seems to be changing. Particles is at equilibrium, then the pressure, the volume, the number of moles, and the temperature all remain the same. Moles at a specific pressure, volume, and temperature. And to think about microstates, let's consider one mole of an ideal gas. Inf.Of entropy is related to the idea of microstates. Duality between smooth min- and max-entropies. A fully quantum asymptotic equipartition property. Black holes as mirrors: quantum information in random subsystems. Unified view of quantum and classical correlations. Modi, K., Paterek, T., Son, W., Vedral, V. Operational interpretations of quantum discord. Quantum discord: a measure of the quantumness of correlations. Einselection and decoherence from an information theory perspective. Separability of mixed states: necessary and sufficient conditions. Thermodynamical approach to quantifying quantum correlations. Oppenheim, J., Horodecki, M., Horodecki, P. Inadequacy of von Neumann entropy for characterising extractable work. The Decoupling Approach to Quantum Information Theory. The uncertainty principle in the presence of quantum memory. ) 322–329 (Association for Computing Machinery, 1999) Heat generation required by information erasure. Thermodynamics of quantum information systems - Hamiltonian description. Notes on Landauer’s principle, reversible computation and Maxwell’s demon. The physics of Maxwell’s demon and information. The physics of forgetting: Landauer’s erasure principle and information theory. ![]() Maxwell’s Demon 2: Entropy, Classical and Quantum Information, Computing (Taylor and Francis, 2002) Maxwell’s Demon: Entropy, Information, Computing (Taylor and Francis, 1990) The thermodynamics of computation - a review. Dissipation and heat generation in the computing process. Furthermore, it provides new bounds on the heat generation of computations: because conditional entropies can become negative in the quantum case, an observer who is strongly correlated with a system may gain work while erasing it, thereby cooling the environment.īennett, C. This result gives a direct thermodynamic significance to conditional entropies, originally introduced in information theory. ![]() In other words, the more an observer knows about the system, the less it costs to erase it. Our main result is that the work cost of erasure is determined by the entropy of the system, conditioned on the quantum information an observer has about it. Here we show that the standard formulation and implications of Landauer’s principle are no longer valid in the presence of quantum information. However, this consideration assumes that the information about the system to be erased is classical, and does not extend to the general case where an observer may have quantum information about the system to be erased, for instance by means of a quantum memory entangled with the system. Landauer’s principle states that the erasure of data stored in a system has an inherent work cost and therefore dissipates heat 3, 4, 5, 6, 7, 8. In principle, reversible operations may be performed at no energy cost given that irreversible computations can always be decomposed into reversible operations followed by the erasure of data 1, 2, the problem of calculating their energy cost is reduced to the study of erasure. The heat generated by computations is not only an obstacle to circuit miniaturization but also a fundamental aspect of the relationship between information theory and thermodynamics. ![]()
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