Paper Citation Record · LEDGER

A geometric approach to quantum circuit lower bounds

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 29 inbound Pith citation observations for arXiv:quant-ph/0502070.

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

pith.paper-citation-record.v1
quant-ph/0502070 v1

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measured 0 of 0 reference resolution

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measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 29 of 29 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:47:35.907400Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T12:19:49.328628Z

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Outbound references

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Pith citing papers

Observation e067c9dd-3365-46e3-96be-0709e11d71da · inbound

Reflections on Virasoro circuit complexity and Berry phase cites this paper.

Reflections on Virasoro circuit complexity and Berry phase A geometric approach to quantum circuit lower bounds

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:35.907400Z

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Observation 835182ba-e1ce-4de0-b01c-cf48cfe8867e · inbound

On volume subregion complexity in Vaidya spacetime cites this paper.

On volume subregion complexity in Vaidya spacetime A geometric approach to quantum circuit lower bounds

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T10:42:42.007886Z

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Observation 874ef576-334d-4ebd-b979-f3fc011ee87b · inbound

Holographic complexity of the Klebanov-Strassler background cites this paper.

Holographic complexity of the Klebanov-Strassler background A geometric approach to quantum circuit lower bounds

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-24T05:28:56.011169Z

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Observation b894e5d0-61a4-40a1-bcb1-07d47042e43d · inbound

Quantum Dynamics in Krylov Space: Methods and Applications cites this paper.

Quantum Dynamics in Krylov Space: Methods and Applications A geometric approach to quantum circuit lower bounds

Reference 145

Resolution: verified exact; local_arxiv, observed 2026-05-25T06:06:42.660915Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6549c3e0-0ce5-435e-908a-7fabb97eb2dd · inbound

Universal Euler-Cartan Circuits for Quantum Field Theories cites this paper.

Universal Euler-Cartan Circuits for Quantum Field Theories A geometric approach to quantum circuit lower bounds

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-05-23T22:48:32.722705Z

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Observation 023216c8-ea4c-475a-8ea8-144aea336ecf · inbound

Spread complexity and the saturation of wormhole size cites this paper.

Spread complexity and the saturation of wormhole size A geometric approach to quantum circuit lower bounds

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T00:05:32.291168Z

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Observation 43a30ae0-a012-4a7c-9fb5-ea2f7b604891 · inbound

Quantum information in Riemannian spaces cites this paper.

Quantum information in Riemannian spaces A geometric approach to quantum circuit lower bounds

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-11T23:04:49.312869Z

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Observation f8990c5f-0104-47cb-baa2-fe8deeea83c6 · inbound

Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry cites this paper.

Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry A geometric approach to quantum circuit lower bounds

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-23T07:17:42.401325Z

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Observation e4c777fc-802d-4da4-a165-6c93df4e07dd · inbound

Holographic entanglement entropy and complexity for the cosmological braneworld model cites this paper.

Holographic entanglement entropy and complexity for the cosmological braneworld model A geometric approach to quantum circuit lower bounds

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-05-22T14:44:54.869991Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7172e99c-02e1-4ec9-a6b6-dce82f6cf43b · inbound

CFT Complexity and Penalty Factors cites this paper.

CFT Complexity and Penalty Factors A geometric approach to quantum circuit lower bounds

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T12:14:04.965020Z

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Observation 290a3918-7bc8-43e0-8351-fe6cb06ceb6a · inbound

Generalized Krylov Complexity cites this paper.

Generalized Krylov Complexity A geometric approach to quantum circuit lower bounds

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T10:36:31.188966Z

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Observation a1ce540c-90e5-4b7a-8ed8-01d40e02cb5c · inbound

Quantum circuit complexity and unsupervised machine learning of topological order cites this paper.

Quantum circuit complexity and unsupervised machine learning of topological order A geometric approach to quantum circuit lower bounds

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-05-19T00:31:55.736577Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 78ee1cfe-01f3-4b8d-a86d-b3d5db22ef3e · inbound

Krylov Complexity for Open Quantum System: Dissipation and Decoherence cites this paper.

Krylov Complexity for Open Quantum System: Dissipation and Decoherence A geometric approach to quantum circuit lower bounds

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-05-18T16:31:37.505171Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00afa685-a65b-4ade-9742-a3b2c794dde4 · inbound

Quantum Cosmology in Krylov Space: Complexity and Entropy cites this paper.

Quantum Cosmology in Krylov Space: Complexity and Entropy A geometric approach to quantum circuit lower bounds

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T21:05:58.526141Z

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Observation 163ca1b5-cd7d-4936-9842-571fdceaee43 · inbound

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity cites this paper.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity A geometric approach to quantum circuit lower bounds

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T04:36:15.753771Z

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Observation e28f2106-6d89-4450-969f-155c0967072f · inbound

Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory cites this paper.

Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory A geometric approach to quantum circuit lower bounds

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T23:16:22.740284Z

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Observation c24ad307-f17f-4bd3-9532-2df57d85f6bd · inbound

Generalized Complexity Distances and Non-Invertible Symmetries cites this paper.

Generalized Complexity Distances and Non-Invertible Symmetries A geometric approach to quantum circuit lower bounds

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-11T11:41:06.132971Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7589b4a1-4a35-48ed-b7f9-aad969ccae4c · inbound

How fast can a quantum gate be? Exact speed limits from geometry cites this paper.

How fast can a quantum gate be? Exact speed limits from geometry A geometric approach to quantum circuit lower bounds

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:36:11.399098Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4ece7575-7b7d-4855-8f9e-c4104939a67a · inbound

Geometric complexity in thermodynamics cites this paper.

Geometric complexity in thermodynamics A geometric approach to quantum circuit lower bounds

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:21:28.359306Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ffd6341c-98de-4b18-8969-e77a07fd6979 · inbound

Krylov complexity from a simple quantum mechanical model for a radiating black hole cites this paper.

Krylov complexity from a simple quantum mechanical model for a radiating black hole A geometric approach to quantum circuit lower bounds

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-20T16:23:35.482656Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1ab59459-036a-4924-a9f0-623238836a8f · inbound

Nielsen complexity with multiple cost factors cites this paper.

Nielsen complexity with multiple cost factors A geometric approach to quantum circuit lower bounds

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-01T23:56:23.102258Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 97489e6e-3e6c-4e69-91b0-322e525c4630 · inbound

Holographic complexity of de-Sitter black holes cites this paper.

Holographic complexity of de-Sitter black holes A geometric approach to quantum circuit lower bounds

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-07-02T04:16:35.072925Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3725dcd3-cc4d-458e-93b9-76ce654c3a92 · inbound

Controlled Chaos in 4D SCFTs cites this paper.

Controlled Chaos in 4D SCFTs A geometric approach to quantum circuit lower bounds

Reference 81

Resolution: verified exact; local_arxiv, observed 2026-07-04T12:19:49.329874Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8616400b-60a6-483a-822a-7b85a41fa199 · inbound

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ cites this paper.

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ A geometric approach to quantum circuit lower bounds

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T21:56:11.527892Z

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Observation c22149d0-6810-4c85-a157-539d16cac7bc · inbound

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ cites this paper.

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ A geometric approach to quantum circuit lower bounds

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T08:52:51.712408Z

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Observation 2bfbde38-19c7-49dd-b2b9-3da35808db80 · inbound

Krylov complexity, mode-resolved complexity and entanglement entropy across phase transitions in the non-Hermitian extended Su-Schrieffer-Heeger model cites this paper.

Krylov complexity, mode-resolved complexity and entanglement entropy across phase transitions in the non-Hermitian extended Su-Schrieffer-Heeger model A geometric approach to quantum circuit lower bounds

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T15:38:43.635981Z

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Observation 61bd253a-72a2-45ef-ad04-c5394c138dda · inbound

Page transition for the complexity of an evaporating black hole cites this paper.

Page transition for the complexity of an evaporating black hole A geometric approach to quantum circuit lower bounds

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:05.154697Z

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Observation 6d0b791d-9855-48f7-8d1c-7955c70dbc25 · inbound

DeComp2: Description Complexity aware Decomposition cites this paper.

DeComp2: Description Complexity aware Decomposition A geometric approach to quantum circuit lower bounds

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T23:24:22.442105Z

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Observation c8c74530-8713-4fb4-8ee2-b16339d50c98 · inbound

Complexity measures in holographic cascading theories with multiscale dynamics cites this paper.

Complexity measures in holographic cascading theories with multiscale dynamics A geometric approach to quantum circuit lower bounds

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T04:21:02.968140Z

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Unavailable: canonical work link unavailable.