{ "id": "1307.6092", "version": "v2", "published": "2013-07-23T14:18:45.000Z", "updated": "2013-09-30T13:27:08.000Z", "title": "Role of Mutual Information in Entropy Production under Information Exchanges", "authors": [ "Takahiro Sagawa", "Masahito Ueda" ], "comment": "Submitted to New Journal of Physics for the Focus Issue on \"Nonequilibrium Fluctuation Relations: From Classical to Quantum\"", "journal": "New J. Phys. 5, 125012 (2013)", "categories": [ "cond-mat.stat-mech" ], "abstract": "We relate the information exchange between two stochastic systems to the nonequilibrium entropy production in the whole system. By deriving a general formula that decomposes the total entropy production into the thermodynamic and informational parts, we obtain nonequilibrium equalities such as the fluctuation theorem in the presence of information processing. Our results apply not only to situations under measurement and feedback control, but also to those under multiple information exchanges between two systems, giving the fundamental energy cost for information processing and elucidating the thermodynamic and informational roles of a memory in information processing. We clarify a dual relationship between measurement and feedback.", "revisions": [ { "version": "v2", "updated": "2013-09-30T13:27:08.000Z" } ], "analyses": { "keywords": [ "mutual information", "information processing", "nonequilibrium entropy production", "fundamental energy cost", "multiple information exchanges" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1367-2630/15/12/125012", "journal": "New Journal of Physics", "year": 2013, "month": "Dec", "volume": 15, "number": 12, "pages": 125012 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013NJPh...15l5012S" } } }