Pith Number

pith:AZUXU4PI

pith:2025:AZUXU4PIK7NTXDQMZFV3YOX4W3

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A two-disk approach to the synthesis of coherent passive equalizers for linear quantum systems

Shuixin Xiao, Valery Ugrinovskii

Linking the coherent equalization problem to the classical two-disk H∞ control problem allows synthesis of passive equalizers for a broader class of linear quantum communication channels.

arxiv:2502.01332 v3 · 2025-02-03 · quant-ph · cs.SY · eess.SY · math.OC

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\usepackage{pith}
\pithnumber{AZUXU4PIK7NTXDQMZFV3YOX4W3}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

The proposed method applies to a broader class of linear quantum communication channels compared with the previous methods.

C2weakest assumption

The two-disk problem formulation from classical H∞ control for uncertain linear systems can be transferred to the quantum linear system model without introducing quantum-specific corrections or additional constraints.

C3one line summary

Connects coherent equalization for linear quantum systems to the classical two-disk H∞ problem to handle a broader class of channels.

Receipt and verification

First computed	2026-06-09T02:08:28.724877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06697a71e857db3b8e0cc96bbc3afcb6e12e9d890e5901c76ed568dbe51420a5

Aliases

arxiv: 2502.01332 · arxiv_version: 2502.01332v3 · doi: 10.48550/arxiv.2502.01332 · pith_short_12: AZUXU4PIK7NT · pith_short_16: AZUXU4PIK7NTXDQM · pith_short_8: AZUXU4PI

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/AZUXU4PIK7NTXDQMZFV3YOX4W3 \
  | 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: 06697a71e857db3b8e0cc96bbc3afcb6e12e9d890e5901c76ed568dbe51420a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a76d8f35e23f0f306bec7c00a9e685e1aa077da131b16890385e118c5b196f4",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-02-03T13:10:15Z",
    "title_canon_sha256": "3db61a6672a462c0d013f0022d80923c41e14902d6164d3df7cdc2b0d4fdf8f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01332",
    "kind": "arxiv",
    "version": 3
  }
}