Pith Number

pith:DNWVA2NF

pith:2026:DNWVA2NFSPBAGFILIYDCMJDYQN

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Probing Quantum Information Scrambling via Local Randomized Measurements

Dan-Bo Zhang, Yan-Ming Chen

Averaged accessible information from Haar-random local measurements probes quantum scrambling by depending solely on local reduced density matrix purity and distinguishing dynamical regimes like confinement, ballistic spread, scars, and localization.

arxiv:2605.13691 v1 · 2026-05-13 · quant-ph

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Claims

C1strongest claim

We derive an analytical expression for the AAI under Haar-random measurements and demonstrate that it is a function of purity of local reduced density matrix. ... the AAI can reveal distinct scrambling behaviors, resolving phenomena that range from dynamical confinement and ballistic transport to persistent scar revivals and many-body localization.

C2weakest assumption

That the averaged accessible information extracted from local randomized measurements faithfully captures the essential features of scrambling dynamics without requiring the optimal measurement or introducing significant bias from the randomization protocol.

C3one line summary

References

47 extracted · 47 resolved · 0 Pith anchors

[1] Here, the lower bound in Eq

[2] =Tr(ρ 0ρ1)−1.(D8) Becauseρ 0 andρ 1 are distinct, andρ 0 is pure, their overlap must be less than 1, Tr(ρ0ρ1)<1. Thus, Tr(ρ 0∆)<0. Now, let us examine the Cauchy-Schwarz bound Eq. (D6) specifically fo

[3] M. Rigol, V . Dunjko, and M. Olshanii, Thermalization and its mechanism for generic isolated quantum systems, Nature452, 854 (2008) 2008

[4] P. Hosur, X.-L. Qi, D. A. Roberts, and B. Yoshida, Chaos in quantum channels, Journal of High Energy Physics2016, 4 (2016) 2016

[5] J. M. Deutsch, Quantum statistical mechanics in a closed sys- tem, Physical Review A43, 2046 (1991) 2046

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:16.946467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b6d5069a593c203150b460626247883746a90b6e747b35525cbd6abd1d2dd6d

Aliases

arxiv: 2605.13691 · arxiv_version: 2605.13691v1 · doi: 10.48550/arxiv.2605.13691 · pith_short_12: DNWVA2NFSPBA · pith_short_16: DNWVA2NFSPBAGFIL · pith_short_8: DNWVA2NF

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DNWVA2NFSPBAGFILIYDCMJDYQN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1b6d5069a593c203150b460626247883746a90b6e747b35525cbd6abd1d2dd6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536cecaf224cbcc9e7d267b610cfef0b2b56c69d72f42d4a4bb10c6f98440e6f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T15:43:38Z",
    "title_canon_sha256": "fc8d53a36233ba5fe9f4a3f8bb1910f0736eca8992e45fa084360017ac9c0a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13691",
    "kind": "arxiv",
    "version": 1
  }
}