Paper Citation Record · LEDGER

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories

As of 14 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2512.10810.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2512.10810 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:13:03.617961Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T17:54:25.215031Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T17:06:04.991691Z

Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 221709a6-a499-4364-966a-878624aaadbc · outbound

This paper cites First, the input state, which is composed of n copies of the state |z⟩ and some ancillary qubits in known pure states.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories First, the input state, which is composed of n copies of the state |z⟩ and some ancillary qubits in known pure states

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T17:13:03.453651Z

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Observation 90584222-3e24-4ae4-9187-309fbacc2ad1 · outbound

This paper cites (47) which is lower than the optimal circuit found previously.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories (47) which is lower than the optimal circuit found previously

Reference 2

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Observation 749a7846-a811-45b6-b688-2c49fba8f403 · outbound

This paper cites Analogously to the approach of Sec.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Analogously to the approach of Sec

Reference 3

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Observation f7031f47-6a88-43fc-ab14-902bb707a9da · outbound

This paper cites Given two simulable functions, it is always possible to construct a Multifunctional Quantum-to-quantum Bernoulli factory (see Supplementary Materials V).

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Given two simulable functions, it is always possible to construct a Multifunctional Quantum-to-quantum Bernoulli factory (see Supplementary Materials V)

Reference 4

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Observation 0518a36f-6050-45b5-a7a4-51740028712d · outbound

This paper cites To ensure that the four vec- tors represent four rows of a unitary transformation they must be orthonormal between each other as ⟨vi|vj⟩ = δi,j.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories To ensure that the four vec- tors represent four rows of a unitary transformation they must be orthonormal between each other as ⟨vi|vj⟩ = δi,j

Reference 5

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Observation 8054f970-d53b-48f2-9d65-f8ed2851287d · outbound

This paper cites Previously, all the measures had to return the outcome 0.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Previously, all the measures had to return the outcome 0

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T17:13:03.475754Z

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Observation b29199cb-dc08-4090-9fde-b9f799b86d74 · outbound

This paper cites an unresolved cited work.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 7

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Observation b9f227a3-d1d0-4db5-a2df-332c60f010b8 · outbound

This paper cites an unresolved cited work.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 8

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Observation be2d5d4c-36bc-486f-be91-ef46554bba1b · outbound

This paper cites an unresolved cited work.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 9

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Observation 6a68e87b-7c57-459c-9fa3-b89f42b50c60 · outbound

This paper cites Paes Leme and J.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Paes Leme and J

Reference 10

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Observation f2ce9548-a40e-4951-95b5-5262c094447e · outbound

This paper cites Niazadeh, R.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Niazadeh, R

Reference 11

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Observation 3f57e0e8-2521-4c38-904c-de8e7b3a930d · outbound

This paper cites Niazadeh, R.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Niazadeh, R

Reference 12

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Observation b0759ba2-d8f9-4e4e-bbc9-5a477e564c74 · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 13

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Observation 4892dd20-911f-493f-9986-662ff3de1d3b · outbound

This paper cites V ats, F.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories V ats, F

Reference 14

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Observation ae7df594-0e07-4687-a2b0-a11a747a0c3b · outbound

This paper cites Herbei and L.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Herbei and L

Reference 15

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Observation 776c1a49-68a6-42f0-9ef9-17a9f56b2c2c · outbound

This paper cites Bernoulli factories and duality in Wright-Fisher and Allen-Cahn models of population genetics.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Bernoulli factories and duality in Wright-Fisher and Allen-Cahn models of population genetics

Reference 16

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Observation d0c04e22-56ff-4588-80cb-1a2266b9391a · outbound

This paper cites Morina, K.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Morina, K

Reference 17

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Observation 97472ab6-28a5-47a0-978d-8b0cffce9755 · outbound

This paper cites Goyal and K.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Goyal and K

Reference 18

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Observation abe511f5-60fb-4e84-957f-2d9658d28b8e · outbound

This paper cites Mossel and Y.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Mossel and Y

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T17:13:03.527547Z

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Observation 8913294b-d5c8-4390-94e3-836b4675bf9f · outbound

This paper cites Łatuszy ´nski, I.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Łatuszy ´nski, I

Reference 20

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Observation 16711970-8b94-4e85-819b-a82fc2906fc3 · outbound

This paper cites Nacu and Y.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Nacu and Y

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T17:13:03.535041Z

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Observation bb3862a8-7283-4147-916a-dd6f81e80af0 · outbound

This paper cites Mendo, An asymptotically optimal bernoulli factory for cer- tain functions that can be expressed as power series, Stochastic Processes and their Applications 129, 4366–4384 (2019).

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Mendo, An asymptotically optimal bernoulli factory for cer- tain functions that can be expressed as power series, Stochastic Processes and their Applications 129, 4366–4384 (2019)

Reference 22

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Observation 0533d722-4ef9-41ce-9002-08f46b9fe402 · outbound

This paper cites Flajolet, M.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Flajolet, M

Reference 23

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Observation 1e63769b-cf9d-4de2-886c-46a40849209c · outbound

This paper cites Holtz, F.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Holtz, F

Reference 24

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Observation afb6f4ec-463f-47f3-964b-99ea53339658 · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 25

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Observation c009304d-af8e-4946-adfb-4d4bf2204af5 · outbound

This paper cites Dale, Quantum coins and quantum sampling , Ph.D.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Dale, Quantum coins and quantum sampling , Ph.D

Reference 26

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Observation b473a239-816c-4ddf-988c-584171750bd5 · outbound

This paper cites an unresolved cited work.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 27

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Observation 984bed4e-8587-4f5a-8eea-e14dedb62564 · outbound

This paper cites Y uan, K.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Y uan, K

Reference 28

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Observation c8def821-02f1-401e-b50a-92c8cbf1df92 · outbound

This paper cites Jiang, J.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Jiang, J

Reference 29

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Observation 21402f92-a7c0-4872-9a24-0cc9b1b1cbbc · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 30

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Observation 6178a00e-dec3-4807-843f-d4e238224946 · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 31

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Observation 462b4e3d-bdc3-47e8-8384-8b4eb74ca1b5 · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 32

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Observation 39768695-4844-4aa8-881a-24db62959c59 · outbound

This paper cites Rodari, F.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Rodari, F

Reference 33

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Observation 44bb1b8b-0ef2-48aa-9e01-e2dfc20447e2 · outbound

This paper cites Kasheﬁ and A.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Kasheﬁ and A

Reference 34

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Observation 6503c8fe-6d83-42f3-8867-3e35030e01d3 · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 35

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Observation 4a7b3221-0e59-4db5-8a09-963ebbf117bc · outbound

This paper cites Polacchi, D.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Polacchi, D

Reference 36

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Observation f8599be3-b729-417b-840b-ccd5f674fb8a · outbound

This paper cites an unresolved cited work.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 37

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Observation b36230c6-f8e6-499b-b39c-d11bba913043 · outbound

This paper cites Quantum circuits with classical channels and the principle of deferred measurements.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Quantum circuits with classical channels and the principle of deferred measurements

Reference 38

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Observation d78a3c5e-c3df-4ccc-970c-fd740ae58a2a · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 39

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Observation 1a357578-868a-4c99-b10a-1377b4a68523 · outbound

This paper cites To show that the success probability is not optimal we consider the state |ψT ⟩ after the unitary evolution.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories To show that the success probability is not optimal we consider the state |ψT ⟩ after the unitary evolution

Reference 40

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Observation 2616a9c7-a447-49fb-b65d-ab754be0cf8e · outbound

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Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Unresolved cited work

Reference 41

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Observation b0972ea0-0156-40e3-912a-cc9d7eff9505 · outbound

This paper cites Levy and O.

Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories Levy and O

Reference 42

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Pith citing papers

Observation 91963982-908d-4a71-a854-23ac3e80acc9 · inbound

Boson Sampling with a reconfigurable 128 modes 3D integrated photonic circuit cites this paper.

Boson Sampling with a reconfigurable 128 modes 3D integrated photonic circuit Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-07-15T02:21:06.731996Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.