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Orientation-dependent Pauli noise in one-dimensional discrete-time quantum walks — arXiv:2609.13392

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.13392
License (as archived): CC0-1.0
Archived: 2026-10-16T02:24:07.916Z
SHA-256 of the archived text: 6d0f027b004e03a45914ff55e36c976e4ed85d910474d53dc6e88be1d23720ef
Stable URL of this page: https://metraipolis.com/documento/dc_3bfec42e26aa

How to cite

Orientation-dependent Pauli noise in one-dimensional discrete-time quantum walks — arXiv:2609.13392 — arXiv (en), https://arxiv.org/abs/2609.13392 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_3bfec42e26aa (Metraipolis archive dc_3bfec42e26aa, sha256 6d0f027b004e03a45914ff55e36c976e4ed85d910474d53dc6e88be1d23720ef)

BibTeX

@misc{dc3bfec42e26aa,
  title = {Orientation-dependent Pauli noise in one-dimensional discrete-time quantum walks — arXiv:2609.13392},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.13392},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_3bfec42e26aa; sha256 6d0f027b004e03a45914ff55e36c976e4ed85d910474d53dc6e88be1d23720ef},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.13392. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Discrete-time quantum walks exhibit ballistic spreading that is highly sensitive to decoherence. We study the long-time dynamics of a one-dimensional discrete-time quantum walk under Pauli noise acting on the coin. Choosing the unitary coin such that its invariant Bloch-sphere axis is orthogonal to the axis fixed by the conditional shift, we identify the distinct effects of noise aligned with either dynamical axis or orthogonal to both. Using a Fourier-space Pauli-superoperator formalism, we derive expressions for the first two position moments and long-time asymptotics for X-, Y-, Z-, and depolarizing noise. All channels induce a crossover from ballistic to diffusive spreading, with a second moment growing linearly at long times. The approach to this regime is channel dependent: it is exponentially fast for X-, Z-, and depolarizing noise, but algebraic, with a leading $t^{-1/2}$ correction, for Y-noise. The position distributions retain distinct finite-noise signatures, including a Gaussian-like profile with a central depression for Y-noise. In the maximal-noise limit, depolarizing, Y-, and Z-noise yield the classical binomial distribution for arbitrary initial coin states, whereas X-noise does so only when the initial state has no component along the noise axis. Thus, the quantum-to-classical transition is governed by the relative alignment of the noise, the coherent walk dynamics, and the initial state.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-15 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.13392 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T01:57:56.975Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-15?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).