{
  "id": "1806.08383",
  "version": "v1",
  "published": "2018-06-20T00:42:55.000Z",
  "updated": "2018-06-20T00:42:55.000Z",
  "title": "Entanglement, holonomic constraints, and the quantization of fundamental interactions",
  "authors": [
    "Salvatore M. Giampaolo",
    "Tommaso Macrì"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is a general belief that all fundamental interactions need to be quantized. However, all attempts to develop a quantum theory of gravity presented various problems, leading to a recent active debate about how to probe its quantum nature. In the present work we provide a proof for the necessity of quantizing fundamental interactions demonstrating that a quantum version is needed for any non trivial conservative interaction whose strength is a function of the relative distance between two objects. Our proof is based on a consistency argument that in the presence of a classical field two interacting objects in a separable state could not develop entanglement. This requirement can be cast in the form of a holonomic constraint that cannot be satisfied by generic interparticle potentials. Extending this picture of local holonomic constraints, we design a protocol that allows to measure the terms of a multipole expansion of the interaction of two composite bodies. The results presented in this work can pave the way for a study of fundamental interactions based on the analysis of entanglement properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-20T00:42:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantization",
      "non trivial conservative interaction",
      "generic interparticle potentials",
      "local holonomic constraints",
      "general belief"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}