Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:03:28.272894Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 12 inbound Pith citation observations for arXiv:2507.07065.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:03:28.272894Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:25:47.156225Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T02:28:24.338817Z
46 of 46 outbound references displayed
External citation measurements
0
pith, observed 2026-08-05T02:28:24.338817Z
Observation a19979b2-9fd3-4c34-968d-370e9c015b42 · outbound
Layer Cake Representations for Quantum Divergences α-z-R´ enyi relative entropies,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7a87a4c9-a0e1-4715-8fdd-3ee268e07cdf · outbound
Layer Cake Representations for Quantum Divergences Tomamichel, Quantum Information Processing with Finite Resources
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 02172e1a-6f83-4be0-9f21-1c101d49db3b · outbound
Layer Cake Representations for Quantum Divergences On measures of entropy and information,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bb1d5323-1acb-4b2a-b6a0-1f2916f0fdd5 · outbound
Layer Cake Representations for Quantum Divergences On the relative entropy,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 978ec423-fc80-4809-bfec-f3ca1713e162 · outbound
Layer Cake Representations for Quantum Divergences The proper formula for relative entropy and its asymptotics in quantum probability,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c4b74c83-bc2b-49d9-a8a6-7b288aaf428c · outbound
Layer Cake Representations for Quantum Divergences Matsumoto, A New Quantum Version of f -Divergence
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6fca6ee6-03e4-4e8f-a61c-c5845b5811d3 · outbound
Layer Cake Representations for Quantum Divergences Quantum f -divergences in von Neumann algebras. ii. maximal f -divergences,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bf3757cf-6390-4f25-8946-315764d56b7c · outbound
Layer Cake Representations for Quantum Divergences Relative entropy of states of von Neumann algebras,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1ee376d2-548a-4293-912e-0f89c4b56c04 · outbound
Layer Cake Representations for Quantum Divergences Relative entropy of states of von Neumann algebras. ii,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6de6a0bc-1d92-4d66-988a-110c1853ae2a · outbound
Layer Cake Representations for Quantum Divergences Quasi-entropies for states of a von Neumann algebra,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 24ac3bbd-6e71-4d4a-8c6c-21569f5951ca · outbound
Layer Cake Representations for Quantum Divergences Quasi-entropies for finite quantum systems,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7bb969b4-26a8-45f4-bad8-f1502769b623 · outbound
Layer Cake Representations for Quantum Divergences Ohya and D
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d2d67a5-ae2b-4239-a6bc-17e959201c0c · outbound
Layer Cake Representations for Quantum Divergences Quantumf -divergences and error correction,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ecb88e3e-6dcd-4974-ae7f-7bbc406cb91c · outbound
Layer Cake Representations for Quantum Divergences Quantum f -divergences in von Neumann algebras. i. standard f -divergences,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 288c6a93-284b-496f-90de-2375c8b49503 · outbound
Layer Cake Representations for Quantum Divergences Functional calculus for sesquilinear forms and the purification map,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2bc2d165-6b2c-40e6-9fd0-3274e2b697c7 · outbound
Layer Cake Representations for Quantum Divergences Means of positive linear operators,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b4356b75-15e2-4f1e-bffb-801f302b4718 · outbound
Layer Cake Representations for Quantum Divergences C ∗-algebraic generalization of relative entropy and entropy,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 359c011c-9b68-4f48-b5eb-f70087997480 · outbound
Layer Cake Representations for Quantum Divergences On quantum R´ enyi entropies: A new generalization and some properties,
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c708633c-2202-488b-bc8c-a8a22a8b398f · outbound
Layer Cake Representations for Quantum Divergences Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched R´ enyi relative entropy,
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71165628-b7cd-47e2-8781-5302f0bb8f21 · outbound
Layer Cake Representations for Quantum Divergences Error exponent and strong converse for quantum soft covering,
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0b401c5-f94d-4e00-9794-05f9f8515bbe · outbound
Layer Cake Representations for Quantum Divergences Tight One-Shot Analysis for Convex Splitting with Applications in Quantum Information Theory
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15f03484-8a47-4c3b-b770-5410075afb64 · outbound
Layer Cake Representations for Quantum Divergences R´ enyi relative entropies and noncommutativeLp-spaces,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 00f2122f-846e-4236-9285-a88bc9bb06ce · outbound
Layer Cake Representations for Quantum Divergences R´ enyi divergences as weighted non-commutative vector-valued Lp-spaces,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c34e1f84-95b2-4919-a5fe-8cbeb2eb1b3c · outbound
Layer Cake Representations for Quantum Divergences Hiai, Quantum f -Divergences in von Neumann Algebras: Reversibility of Quantum Operations
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6ad0facd-b580-4395-a526-2138b88b7beb · outbound
Layer Cake Representations for Quantum Divergences Applications of the complex interpolation method to a von Neumann algebra: Non-commutative Lp-spaces,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c3ae7f4f-67b4-419d-bb2c-a987d87984f2 · outbound
Layer Cake Representations for Quantum Divergences Quantum r´ enyi andf -divergences from integral representations,
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f16f61e-fe78-4d0e-b46e-f08d3593f960 · outbound
Layer Cake Representations for Quantum Divergences f -divergence inequalities,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c45b177a-ca15-4179-bd91-4542411e3606 · outbound
Layer Cake Representations for Quantum Divergences Lieb and M
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 839d8461-b86b-4ba3-9df8-0fbfc1bbddea · outbound
Layer Cake Representations for Quantum Divergences Some properties and applications of the new quantum $f$-divergences
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dace4324-1bde-4039-8bf7-1203b89dbf36 · outbound
Layer Cake Representations for Quantum Divergences Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 913f71cc-7039-4b1a-894b-7b9fbae25f67 · outbound
Layer Cake Representations for Quantum Divergences Conditional expectation in an operator algebra. IV. entropy and information,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ce36c567-0ccc-46c4-a55a-fc8f3507f496 · outbound
Layer Cake Representations for Quantum Divergences Integral formula for quantum relative entropy implies data processing inequality,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9f385343-c9ce-47b8-a2ef-fcc0953b6276 · outbound
Layer Cake Representations for Quantum Divergences Discriminating states: The quantum Chernoff bound,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dc130bfc-e15b-42f9-9a37-2f7390020ec7 · outbound
Layer Cake Representations for Quantum Divergences Asymptotic error rates in quantum hy- pothesis testing,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5bfa136f-01f0-4ebb-be81-3a25a977f32c · outbound
Layer Cake Representations for Quantum Divergences Convex trace functions and the Wigner-Yanase-Dyson conjecture,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0d3e1faa-36e6-401a-90bd-9fbc8c789a6a · outbound
Layer Cake Representations for Quantum Divergences Multivariate trace inequalities,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d1577284-f5ef-4276-96f2-b96dcb5df95a · outbound
Layer Cake Representations for Quantum Divergences On the strong converses for the quantum channel capacity theorems,
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5bc36c67-c0b0-42be-8738-d94b8681fa36 · outbound
Layer Cake Representations for Quantum Divergences Quantum differential privacy: An information theory perspective,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 07443556-6af0-437a-80ab-48a73af0cc3c · outbound
Layer Cake Representations for Quantum Divergences Sample complexity of locally differentially private quantum hypothesis testing,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 359df932-5bb9-4407-9c4e-bf5b9d430341 · outbound
Layer Cake Representations for Quantum Divergences Kato, Perturbation Theory for Linear Operators
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3dc78a2b-9629-4586-8944-238158831827 · outbound
Layer Cake Representations for Quantum Divergences Hiai and D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 75c82a81-aea0-4843-abf8-e57a5efdef82 · outbound
Layer Cake Representations for Quantum Divergences Polyanskiy, Channel coding: Non-asymptotic fundamental limits
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 43267af7-dad2-46c4-9bc8-a77d266d32ea · outbound
Layer Cake Representations for Quantum Divergences Quantum hypothesis testing and the operational interpretation of the quantum r´ enyi relative entropies,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e300f677-569a-4143-a4ac-70de32230cd3 · outbound
Layer Cake Representations for Quantum Divergences The Chernoff lower bound for symmetric quantum hypothesis testing,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0ab938c9-7cb8-44f4-9604-715340811f3d · outbound
Layer Cake Representations for Quantum Divergences Polyanskiy and Y
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 539466af-ac90-45fe-8898-70520af6f225 · outbound
Layer Cake Representations for Quantum Divergences A variational expression for the relative entropy,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3d28299f-9000-4238-bf55-9f13aa987fdd · inbound
Error Exponents for Quantum Packing Problems via An Operator Layer Cake Theorem Layer Cake Representations for Quantum Divergences
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fc9c2a8-68a0-479f-9ae6-f3cc278e9691 · inbound
Sharp estimates of quantum covering problems via a novel trace inequality Layer Cake Representations for Quantum Divergences
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4949ba7f-19ed-42f2-b8a5-8f8917dfac22 · inbound
Sufficiency and Petz recovery for positive maps Layer Cake Representations for Quantum Divergences
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9088ebf7-72d2-4dc7-a6ec-01ff7dedb541 · inbound
Sufficiency and Petz recovery for positive maps Layer Cake Representations for Quantum Divergences
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bfbb0c32-4ce3-42bd-bd18-f02ee97c5411 · inbound
Optimal Trace Inequalities for Single-Shot Quantum Information Layer Cake Representations for Quantum Divergences
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 43757e14-23c3-4ba3-a0be-3375ff9ac95a · inbound
Optimal Trace Inequalities for Single-Shot Quantum Information Layer Cake Representations for Quantum Divergences
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e0a2299d-0e20-460c-9ff9-5061fbe78e46 · inbound
R\'enyi divergences and binary state discrimination error exponents for fermionic quasi-free states Layer Cake Representations for Quantum Divergences
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 526cc3cc-506f-4c8b-99c0-fa356c3106b4 · inbound
Multiple Quantum Hypothesis Testing: One-Shot Pairwise Bounds and Sharp Asymptotics Layer Cake Representations for Quantum Divergences
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7a03a59d-dd55-412d-a6c2-576661beb22e · inbound
Quantum Noncommutativity Uniquely Determines Relative Entropy Layer Cake Representations for Quantum Divergences
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ca614b9d-a02f-43ab-ad5c-30be3e04903b · inbound
Device-independent Quantum Key Distribution in the commuting operator framework Layer Cake Representations for Quantum Divergences
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bce9c1de-8506-4160-8fd4-1251fdaed6b0 · inbound
Integral representations of $f$-divergences for general von Neumann algebras Layer Cake Representations for Quantum Divergences
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b552c2f3-fbbf-4e55-886c-7a123b9848ac · inbound
Hockey stick $f$-divergences Layer Cake Representations for Quantum Divergences
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.