caa a22 4500 46789308X CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9220-x doi (NATIONALLICENCE)springer-10.1007/s10955-006-9220-x Janzing Dominik Institut für Algorithmen und Kognitive Systeme, Universität Karlsruhe, Am Fasanengarten 5, D-76 131, Karlsruhe, Germany aut Quantum Thermodynamics with Missing Reference Frames: Decompositions of Free Energy Into Non-Increasing Components [Elektronische Daten] [Dominik Janzing] If an absolute reference frame with respect to time, position, or orientation is missing one can only implement quantum operations which are covariant with respect to the corresponding unitary symmetry group G. Extending observations of Vaccaro et al., I argue that the free energy of a quantum system with G-invariant Hamiltonian then splits up into the Holevo information of the orbit of the state under the action of G and the free energy of its orbit average. These two kinds of free energy cannot be converted into each other. The first component is subadditive and the second superadditive; in the limit of infinitely many copies only the usual free energy matters. Refined splittings of free energy into more than two independent (non-increasing) terms can be defined by averaging over probability measures on G that differ from the Haar measure. Even in the presence of a reference frame, these results provide lower bounds on the amount of free energy that is lost after applying a passive covariant channel. If the channel properly decreases one of these quantities, it decreases the free energy necessarily at least by the same amount, since it is unable to convert the different forms of free energies into each other. For instance, if an electrical, optical, or acoustical signal loses some time accuracy after it has passed a passive time-invariant device, the results provide lower bounds on the free energy lost in the latter. Springer Science+Business Media, LLC, 2006 Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 761-776 0022-4715 125:3<761 2006 125 10955 https://doi.org/10.1007/s10955-006-9220-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9220-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Janzing Dominik Institut für Algorithmen und Kognitive Systeme, Universität Karlsruhe, Am Fasanengarten 5, D-76 131, Karlsruhe, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 761-776 0022-4715 125:3<761 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer