Pith Number

pith:E2GURDCH

pith:2025:E2GURDCHUS43ORWPQKCD27LOE2

not attested not anchored not stored refs resolved

Information-Theoretic Analysis of Weak Measurements and Their Reversal

Luis D. Zambrano Palma, M. Suhail Zubairy, Yusef Maleki

Null-result weak measurements yield a dynamical characterization of information extraction using entropy and related measures.

arxiv:2512.08015 v1 · 2025-12-08 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2GURDCHUS43ORWPQKCD27LOE2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We develop a dynamical characterization of null-result weak measurements that quantifies the information extracted over time, revealing the amount of the obtained information and also the rate of the information accumulation.

C2weakest assumption

The analysis assumes that the standard model of null-result weak measurements accurately captures continuous state updates without undetected noise or additional decoherence channels beyond those included in the information-theoretic description.

C3one line summary

Null-result weak measurements are dynamically characterized for qubits and qutrits using Shannon entropy, mutual information, fidelity, and relative entropy to quantify information extraction amounts, rates, and reversibility.

References

52 extracted · 52 resolved · 1 Pith anchors

[1] At long times, the rate tends to zero, reflecting the saturation of the information gain shown in Figs. 1 and 2. In contrast, the rate of fidelity˙F (τ )remains negative for all times, reflecting the

[2] M. A. Nielsen and I. L. Chuang,Quantum computation and quantum information(Cambridge university press, 2010) 2010

[3] von Neumann,Mathematical Foundations of Quantum Mechanics(Princeton University Press, Princeton, 1955) translated by Robert T 1955

[4] A. N. Korotkov, Continuous quantum measurement of a double dot, Phys. Rev. B60, 5737 (1999) 1999

[5] M. Al Amri, M. O. Scully, and M. S. Zubairy, Reversing the weak measurement on a qubit, Journal of Physics B: Atomic, Molecular and Optical Physics44, 165509 (2011) 2011

Receipt and verification

First computed	2026-05-17T23:39:16.906873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268d488c47a4b9b746cf82843d7d6e26a15303fdaeab76fc3b0e4da66636596b

Aliases

arxiv: 2512.08015 · arxiv_version: 2512.08015v1 · doi: 10.48550/arxiv.2512.08015 · pith_short_12: E2GURDCHUS43 · pith_short_16: E2GURDCHUS43ORWP · pith_short_8: E2GURDCH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/E2GURDCHUS43ORWPQKCD27LOE2 \
  | 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: 268d488c47a4b9b746cf82843d7d6e26a15303fdaeab76fc3b0e4da66636596b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9099d658d3952e3d2c800992bddb79a74e8a4a8104a9e147c82f8ceb5fcd26c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-08T20:17:21Z",
    "title_canon_sha256": "16ffbf6078d65423177147e29d3ab37f4d32383809639b1d70316cbd1275613e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08015",
    "kind": "arxiv",
    "version": 1
  }
}