{
  "abstract": "Multi-degree-of-freedom photonic quantum processing requires routing between degree-of-freedom (DOF) qubit encodings on a single photon. A SWAP between polarization and time-bin qubits is an advantageous primitive for such architectures, however conventional early/late time-bin encoding does not support bidirectional logical time-bin flips from late to early which limits the ability to implement certain quantum operations. We introduce a parity-based time-bin encoding in which logical $\\ket{0}_T$ and $\\ket{1}_T$ correspond to even and odd multiples of a spacing $Δt$, so that a physical delay of $Δt$ implements $\\ket{0}_T \\leftrightarrow \\ket{1}_T$. This encoding is the enabling ingredient that makes a polarization-controlled delay line implement $\\mathrm{CNOT}_{P \\rightarrow T}$ and aligns naturally with periodic refractive index modulation for $\\mathrm{CNOT}_{T \\rightarrow P}$. Composing three such CNOT operations sequentially results in a deterministic SWAP between polarization and time-bin degrees of freedom. We quantify how EOM voltage errors reduce the polarization-flip probability and estimate timing requirements from modulator switching, detector resolution, and timing jitter, giving an illustrative timing budget.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.27144",
  "author_total": 2,
  "authors": [
    {
      "name": "Adam Sultan"
    },
    {
      "name": "Connor Kupchak"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/04qr0d89px7qp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.27144",
  "fulltext_url": null,
  "id": "04qr0d89px7qp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.27144",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7171771426",
  "pdf_url": "https://arxiv.org/pdf/2607.27144",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/04qr0d89px7qp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2607.27144",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.27144"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Parity-Based Time-Bin Encoding Enabling SWAP Between Polarization and Time-Bin Qubits",
  "title_text": "Parity-Based Time-Bin Encoding Enabling SWAP Between Polarization and Time-Bin Qubits",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/04qr0d89px7qp",
  "venue": "arXiv",
  "versions": []
}