{
  "id": "2311.15494",
  "version": "v1",
  "published": "2023-11-27T02:35:48.000Z",
  "updated": "2023-11-27T02:35:48.000Z",
  "title": "Enhancement of non-Stabilizerness within Indefinite Causal Order",
  "authors": [
    "Yin Mo",
    "Chengkai Zhu",
    "Zhiping Liu",
    "Mingrui Jing",
    "Xin Wang"
  ],
  "comment": "5+4 pages, 4 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In the field of quantum computation, the non-stabilizerness of a quantum circuit is crucial for understanding and quantifying quantum speed-up. In this work, we explore some intriguing phenomena regarding the non-stabilizerness of a circuit when a Quantum SWITCH structure is employed. This structure is a novel quantum construct that enables quantum states to pass through operations in a superposition of different orders and has shown superiority in numerous tasks over circuits with a definite causal order. Firstly, we discover that the completely stabilizer-preserving operations, which cannot generate magic states under standard conditions, can be transformed into a resourceful operation capable of generating magic states when processed by the Quantum SWITCH. Secondly, when considering the effects of noisy channels on operations, we observe that while the non-stabilizerness of each path may be annihilated, their superposition could still preserve the non-stabilizerness of the operation. These findings reveal unique properties brought by the Quantum SWITCH and open further avenues in future research on magic resources of general quantum architecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-27T02:35:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "indefinite causal order",
      "non-stabilizerness",
      "findings reveal unique properties brought",
      "magic states",
      "enhancement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}