Pith Number

pith:ZM7A2KQ2

pith:2026:ZM7A2KQ2F3HWFPF7QXFFO3IXNG

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Universal quantum resource distillation via composite generalised quantum Stein's lemma

Bartosz Regula, Ludovico Lami, Ryuji Takagi

Optimal rates for distilling quantum resources like entanglement are achievable with protocols that require no knowledge of the input state at all.

arxiv:2605.15174 v1 · 2026-05-14 · quant-ph · cond-mat.stat-mech · cs.IT · math-ph · math.IT · math.MP

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Claims

C1strongest claim

distillation of quantum resources in the framework of resource non-generating operations can be performed universally: optimal rates of distillation can be achieved with no knowledge of the input state whatsoever, certifying the robustness of quantum resource distillation

C2weakest assumption

The generalised quantum Stein's lemma extends to the composite setting in which the null hypothesis consists of i.i.d. copies of an unknown quantum state, with the solution enabled by new one-shot developments and a refinement of the blurring technique.

C3one line summary

Optimal universal distillation rates for quantum resources are achieved without any knowledge of the input state via a composite extension of the generalised quantum Stein's lemma.

References

48 extracted · 48 resolved · 1 Pith anchors

[1] F. Hiai and D. Petz. The proper formula for relative en- tropy and its asymptotics in quantum probability.Comm. Math. Phys., 143(1):99–114, 1991. 1, 4 7 1991

[2] Conditionalexpectationinanoperatoralge- bra 1962

[3] C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schu- macher. Concentrating partial entanglement by local op- erations.Phys. Rev. A, 53:2046–2052, 1996. 1 2046

[4] C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters. Mixed-state entanglement and quantum error correction.Phys. Rev. A, 54:3824–3851, 1996. 1 1996

[5] V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight. Quantifying entanglement.Phys. Rev. Lett., 78:2275–2279,

Formal links

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Cited by

2 papers in Pith

Generalized quantum Stein's lemma for mixed sources

Robust generalized quantum Stein's lemma

Receipt and verification

First computed	2026-05-17T21:40:25.253891Z
Last reissued	2026-05-17T21:57:18.595991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

cb3e0d2a1a2ecf62bcbf85ca576d1769825b3b9315d82b0c27c30c86381e5cd8

Aliases

arxiv: 2605.15174 · arxiv_version: 2605.15174v1 · pith_short_12: ZM7A2KQ2F3HW · pith_short_16: ZM7A2KQ2F3HWFPF7 · pith_short_8: ZM7A2KQ2

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZM7A2KQ2F3HWFPF7QXFFO3IXNG \
  | 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: cb3e0d2a1a2ecf62bcbf85ca576d1769825b3b9315d82b0c27c30c86381e5cd8

Canonical record JSON

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    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T17:57:05Z",
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