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Generating random unitaries by products of conjugated Hamiltonian evolutions — arXiv:2609.38738

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.38738
License (as archived): CC0-1.0
Archived: 2026-10-07T15:21:00.744Z
SHA-256 of the archived text: 308f8f637159593ed907c32ffbea8dfbb37cbe2bcba8369953f5955450477f68
Stable URL of this page: https://metraipolis.com/documento/dc_6ccaba3fb7ca

How to cite

Generating random unitaries by products of conjugated Hamiltonian evolutions — arXiv:2609.38738 — arXiv (en), https://arxiv.org/abs/2609.38738 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_6ccaba3fb7ca (Metraipolis archive dc_6ccaba3fb7ca, sha256 308f8f637159593ed907c32ffbea8dfbb37cbe2bcba8369953f5955450477f68)

BibTeX

@misc{dc6ccaba3fb7ca,
  title = {Generating random unitaries by products of conjugated Hamiltonian evolutions — arXiv:2609.38738},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.38738},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_6ccaba3fb7ca; sha256 308f8f637159593ed907c32ffbea8dfbb37cbe2bcba8369953f5955450477f68},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.38738. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Random unitary operations are a fundamental resource for quantum information processing, yet provably generating them with experimentally available controls remains challenging. Existing approaches often require calculating higher-order operator expectation values, relying on statistical assumptions about the experimental Hamiltonian's spectrum to make these calculations tractable. We show how to implement random unitaries by a sequence of evolutions generated by a fixed Hamiltonian conjugated by a global control operator. We give a geometric argument that establishes exponential convergence to the uniform random (Haar) measure on the accessible unitary group under uniform parameter sampling, beyond a finite sequence-length threshold that we bound. We show this holds when the connected Lie subgroup generated by the conjugated Hamiltonians is closed. Native dynamics and global control thus provide a constructive route to uniform randomness, with applications to many experimental platforms including Rydberg atoms, bosons and fermions in optical lattices, transmons, and trapped ions.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-01 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.38738 — 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 2026-10-07T14:53:56.632Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-10-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).