{
  "id": "2209.08096",
  "version": "v1",
  "published": "2022-09-16T13:36:58.000Z",
  "updated": "2022-09-16T13:36:58.000Z",
  "title": "Theoretical bound of the efficiency of learning",
  "authors": [
    "Shanhe Su",
    "Jingyi Chen",
    "Youlin Wang",
    "Jincan Chen",
    "Chikako Uchiyama"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "A unified thermodynamic formalism describing the efficiency of learning is proposed. First, we derive an inequality, which is more strength than Clausius's inequality, revealing the lower bound of the entropy-production rate of a subsystem. Second, the inequality is transformed to determine the general upper limit for the efficiency of learning. In particular, we exemplify the bound of the efficiency in nonequilibrium quantum-dot systems and networks of living cells. The framework provides a fundamental trade-off relationship between energy and information inheriting in stochastic thermodynamic processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-16T13:36:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "efficiency",
      "theoretical bound",
      "general upper limit",
      "nonequilibrium quantum-dot systems",
      "fundamental trade-off relationship"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}