{
  "id": "1307.2026",
  "version": "v2",
  "published": "2013-07-08T10:35:40.000Z",
  "updated": "2015-10-14T01:57:38.000Z",
  "title": "Quantum Probability assignment limited by relativistic causality",
  "authors": [
    "Yeong Deok Han",
    "Taeseung Choi"
  ],
  "comment": "We separated out the first (main part) of the version 1 and made more clear and detailed analysis to prove our arguments on the relation between quantum physics and relativity",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The quantum nonlocality is limited by relativistic causality, however, the reason is not fully understood yet. The relativistic causality condition on nonlocal correlations has been usually accepted as a prohibition of faster-than-light signaling, called no-signaling condition. We propose another causality condition from the observation that space-like separate events should have no causal relationship. It is proved that the new condition is stronger than no-signaling condition for a pair of binary devices. We derive the standard probability assignment rule, so-called Born rule, on quantum measurement, which determines the degree of quantum nonlocality, by using relativistic causality constraint. This shows how the causality limits the upper bound of quantum nonlocality through quantum probability assignment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-08T10:35:40.000Z",
      "title": "No causal order and quantum probability assignment",
      "abstract": "We have studied how relativistic causality limits on the generalization of quantum probability assignment, which can give more nonlocal (superquantum) correlations than quantum correlations. We have shown that 'no causal order' condition between two spacelike separate events is stronger than no faster-than-light-signaling condition as the requirement of relativistic causality. Using no causal order condition we have proved that Born rule is the only probability assignment to quantum measurement on an arbitrary entangled quantum state described by the Hilbert space language, consistent with relativistic causality. We have also shown that all superquantum correlations, which preserve relativistic causality, can be understood as hypothetical correlations given by applying modified quantum probability assignments to quantum measurements on a Bell state.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-10-14T01:57:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "correlations",
      "quantum measurement",
      "relativistic causality limits",
      "preserve relativistic causality",
      "causal order condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.2026H"
    }
  }
}