Pith Number

pith:CQOXBIJT

pith:2026:CQOXBIJTPBWZPGTHLKX4GB7DPX

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Measurement-based quantum state transfer and restoring via spin-1/2 chain interacting with environment

A.I. Zenchuk, E.B. Fel'dman

Measurement restores quantum states transferred along noisy spin chains to probabilistic perfect transfer

arxiv:2605.13051 v1 · 2026-05-13 · quant-ph

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Record completeness

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Claims

C1strongest claim

As a result, the transferred state appears in superposition with completely mixed state, the latter disappears with vanishing interaction with environment. In that case we deal with probabilistic perfect state transfer.

C2weakest assumption

The Lindblad equation is assumed to preserve the excitation number during the entire spin evolution, allowing the Kraus restoring operators to be defined without leakage outside the fixed-excitation subspace.

C3one line summary

Measurement-based restoring via Kraus operators on an environmentally coupled spin chain yields probabilistic perfect transfer of fixed-excitation states that becomes deterministic as environmental coupling vanishes.

References

48 extracted · 48 resolved · 0 Pith anchors

[1] In this case γ0 = 1 , 1. 11, 1. 19, 1. 26, 0. 125 in Eq.(42) for the chains of lengths (43) respectively. The parameters Λ 2,p2 andτ0 for the chains of diﬀerent length N are collected in the Table II.

[2] Bose, Quantum communication through an unmodulated s pin chain 2003 Phys 2003

[3] M. Christandl, N. Datta, A. Ekert, A.J. Landahl, Perfect state transfer in quantum spin networks, Phys. Rev. Lett. 92, 187902 (2004) 2004

[4] P. Karbach, J. Stolze, Spin chains as perfect quantum sta te mirrors, Phys. Rev. A 72, 030301(R) (2005) 2005

[5] G. Gualdi, V. Kostak, I. Marzoli, P. Tombesi, Perfect sta te transfer in long-range interacting spin chains, Phys. Rev. A 78, 022325 (2008) 2008

Receipt and verification

First computed	2026-05-18T03:08:59.293249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141d70a133786d979a675aafc307e37dd3d71e45d734d85bb554cd16c74c4ce7

Aliases

arxiv: 2605.13051 · arxiv_version: 2605.13051v1 · doi: 10.48550/arxiv.2605.13051 · pith_short_12: CQOXBIJTPBWZ · pith_short_16: CQOXBIJTPBWZPGTH · pith_short_8: CQOXBIJT

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/CQOXBIJTPBWZPGTHLKX4GB7DPX \
  | 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: 141d70a133786d979a675aafc307e37dd3d71e45d734d85bb554cd16c74c4ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d83619a02f2d00e013716251d3d5e922efb3943a82b904b12302391371f8cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T06:16:58Z",
    "title_canon_sha256": "a5c26c9283342fa29f3599d104a7b3ffe466106c2cc7fbc42316cb5e79c690a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13051",
    "kind": "arxiv",
    "version": 1
  }
}