Hatmoko, Bayu Dwi (2026) Kriteria Kesuksesan Pembangunan Kanal Kuantum Berdasarkan Struktur Kanal, Kapasitas Keterbelitan dan Keselarasan Informasi-Kanal dalam Sistem Teleportasi Kuantum. Doctoral thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Teleportasi kuantum protokol standar merupakan mekanisme fundamental untuk memindahkan keadaan qubit melalui sumber daya keterbelitan dan komunikasi klasik. Meskipun hubungan antara keterbelitan dan kinerja teleportasi telah banyak dibahas, masih terdapat kesenjangan metodologis berupa belum tersedianya alur analitik tunggal yang secara sistematis mengaitkan struktur kanal—melalui peringkat (rank) dan representasi matriks atau tensor—kelas kesetaraan operasional (LOCC/SLOCC), serta ukuran kinerja berupa keselarasan. Kesenjangan tersebut menjadi penting ketika kanal berasal dari sistem multipartit, berupa keadaan campuran (mixed state), atau mengalami derau (noise). Disertasi ini mengembangkan sintesis metodologis untuk mengevaluasi kanal pada teleportasi qubit protokol standar. Pertama, diturunkan formulasi berbasis matriks densitas untuk keadaan keluaran yang terkondisi pada hasil pengukuran Bell. Formulasi tersebut menghasilkan representasi jumlah-operator (operator-sum representation) untuk kanal campuran atau berderau dan mereduksi menjadi operator transfer (transfer operator)
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The standard quantum teleportation protocol is a fundamental mechanism for transferring qubit states through entanglement resources and classical communication. Although the relationship between entanglement and teleportation performance has been widely studied, a methodological gap remains: there is no single analytical workflow that systematically connects channel structure, expressed through rank and matrix or tensor representations, operational equivalence classes (LOCC/SLOCC), and fidelity-based performance measures. This gap becomes particularly relevant for multipartite, mixed, and noisy channels. This dissertation develops a methodological synthesis for evaluating channels in the standard qubit teleportation protocol. First, a density-matrix formulation is derived for the output state conditioned on a Bell-measurement outcome. The formulation yields an operator-sum representation for mixed or noisy channels and reduces to the transfer operator Tm = ΩMmᵀ for pure channels. Second, deterministic success is formulated as an isometry condition on the input-qubit information subspace. Structural indicators based on rank and rank profiles are then connected to the local-unitary-optimized fully entangled fraction (fLU) and the optimal standard-protocol fidelity (Fmaxstd). The principal result is a channel-evaluation algorithm following the analytical path: channel structure (rank/unfolding) → operational class → fLU → Fmaxstd, supplemented by Bell-state-measurement efficiency, noise, and resource cost. The algorithm provides an operational basis for selecting, evaluating, and engineering multipartite channels to achieve specified fidelity targets while treating pure and mixed channels consistently within a unified framework.
| Item Type: | Thesis (Doctoral) |
|---|---|
| Uncontrolled Keywords: | Kapasitas Kanal, Keselarasan, Kriteria Kanal, Teleportasi Kuantum, Struktur Kanal, Channel Capacity, Cahnnel Structure, Channel Criteria Fidelity, Quantum Teleportation |
| Subjects: | Q Science > QC Physics > QC174.17.Q38 Quantum teleportation |
| Divisions: | Faculty of Mathematics and Science > Physics > 45001-(S3) PhD Thesis |
| Depositing User: | Bayu Dwi Hatmoko |
| Date Deposited: | 05 Aug 2026 04:21 |
| Last Modified: | 05 Aug 2026 04:21 |
| URI: | http://repository.its.ac.id/id/eprint/143868 |
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