Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-23T03:28:58.955729Z
Paper Citation Record · LEDGER
Heisenberg picture tensor network formalism for optical circuits
As of 14 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2502.01737.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T21:42:26.657239Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T21:42:28.686751Z
Reference resolution
28 of 28 outbound references displayed
- verified exact5
- verified fuzzy10
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 79eec6b6-3ef3-4235-a520-0a772d6366cc · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.155544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 35d6ba6a-0f6b-4154-a6cb-f4e3af89f4e1 · outbound
This paper cites (C9) there is exactly one row in Eq.
Heisenberg picture tensor network formalism for optical circuits (C9) there is exactly one row in Eq
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.187026Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c09d6c77-823d-4ce4-a864-feabfaef39aa · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.172050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c1611595-1fae-42a1-bebb-e9f6cc11fe39 · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.091267Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1a19d53a-a6ba-4daf-8fb9-5cb4a8c8524a · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.121977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fa9e0f13-37d4-4e82-95dc-649464595f72 · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.167875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 76cf633e-39da-4782-a14c-9de3fdbee01e · outbound
This paper cites Or´ us, Nature Reviews Physics1, 538 (2019).
Heisenberg picture tensor network formalism for optical circuits Or´ us, Nature Reviews Physics1, 538 (2019)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.115519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cca911c7-17cf-4de3-bee6-efd8e3cbe51d · outbound
This paper cites Montangero, Introduction to tensor network methods (Springer Cham, 2018).
Heisenberg picture tensor network formalism for optical circuits Montangero, Introduction to tensor network methods (Springer Cham, 2018)
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.199055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a132b9a3-4720-42e1-8e58-643172c77e1a · outbound
This paper cites Schollw¨ ock, Annals of Physics326, 96 (2011).
Heisenberg picture tensor network formalism for optical circuits Schollw¨ ock, Annals of Physics326, 96 (2011)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.132233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2920708e-1953-4be8-80b6-6e23a1ed3eda · outbound
This paper cites Audenaert, J.
Heisenberg picture tensor network formalism for optical circuits Audenaert, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.151682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e7a25c00-7c44-4025-8206-a7cc58b2fca1 · outbound
This paper cites Eisert, M.
Heisenberg picture tensor network formalism for optical circuits Eisert, M
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.193106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 14bdd01a-dd35-47ef-ab3d-8f88456ffa57 · outbound
This paper cites Vidal, Physical Review Letters 91, 147902 (2003).
Heisenberg picture tensor network formalism for optical circuits Vidal, Physical Review Letters 91, 147902 (2003)
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.126675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 45699baf-bce1-4651-aeac-862cbd5bc4b9 · outbound
This paper cites Or´ us, Annals of Physics349, 117–158 (2014).
Heisenberg picture tensor network formalism for optical circuits Or´ us, Annals of Physics349, 117–158 (2014)
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.141472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b27bbe35-8d33-4909-bdc2-064dae872d29 · outbound
This paper cites The Computational Complexity of Linear Optics.
Heisenberg picture tensor network formalism for optical circuits The Computational Complexity of Linear Optics
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-05-23T03:32:28.380388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a432fe90-41f8-448b-8068-20ed5f1cf56d · outbound
This paper cites Garc´ ıa-Patr´ on, J.
Heisenberg picture tensor network formalism for optical circuits Garc´ ıa-Patr´ on, J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.209217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a0f46f99-e65c-4a07-9d02-125d98bef928 · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.163917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 682bc6a4-e07e-46e9-9ef7-fb8d4ffb35ae · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.160034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0cb99241-836a-4ffb-9842-39a64f5258ba · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.105618Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d859de9d-1946-4999-aba9-ae932013e17c · outbound
This paper cites Simulating Gaussian Boson Sampling with Tensor Networks in the Heisenberg picture.
Heisenberg picture tensor network formalism for optical circuits Simulating Gaussian Boson Sampling with Tensor Networks in the Heisenberg picture
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T03:32:28.385714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2d5c6416-35d2-44bd-93e3-c311fc302acd · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.094974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 288d7827-9538-4fde-9934-12dcd85c0ec1 · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.136694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9e77765d-6d56-4b43-99f7-5621d1ecec9b · outbound
This paper cites On classical simulation algorithms for noisy Boson Sampling.
Heisenberg picture tensor network formalism for optical circuits On classical simulation algorithms for noisy Boson Sampling
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T03:32:28.396381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 174e6f09-eadf-477e-8eff-c8d112cfa5ec · outbound
This paper cites Simulating lossy Gaussian boson sampling with matrix product operators.
Heisenberg picture tensor network formalism for optical circuits Simulating lossy Gaussian boson sampling with matrix product operators
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T03:32:28.401769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 93276635-c2ee-4e7b-bf46-1054ada5c8ef · outbound
This paper cites Zhou and Y.
Heisenberg picture tensor network formalism for optical circuits Zhou and Y
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T03:57:31.087890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 54c6487b-da41-49fd-9c3f-90649ee9d650 · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.145392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 04da0c19-5bdc-4d79-9b56-3c172a6cc474 · outbound
This paper cites Generalizing and Derandomizing Gurvits's Approximation Algorithm for the Permanent.
Heisenberg picture tensor network formalism for optical circuits Generalizing and Derandomizing Gurvits's Approximation Algorithm for the Permanent
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-05-23T03:32:28.390467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bd0459a9-c9e5-4ac3-ab13-fc3c3ce43699 · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.204726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d251a051-705f-47b9-b05b-152b9b3f1f49 · outbound
This paper cites an unresolved cited work.
Heisenberg picture tensor network formalism for optical circuits Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T03:57:31.099378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation 02a343e4-82e4-4a14-93d0-e9aa7ad87430 · inbound
Configurable photonic simulator for quantum field dynamics cites this paper.
Configurable photonic simulator for quantum field dynamics Heisenberg picture tensor network formalism for optical circuits
Reference 152
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T21:42:28.776453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.