Paper Citation Record · LEDGER

Ternary tree transformations are equivalent to linear encodings of the Fock basis

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2412.07578.

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

pith.paper-citation-record.v1
2412.07578 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:50:00.480282Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T21:52:56.618955Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T21:53:59.056512Z

Reference resolution

40 of 40 outbound references displayed

verified exact5
verified fuzzy32
unresolved2
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b6830c62-b850-455c-83f4-3e0b0e752f14 · outbound

This paper cites Jordan and E.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Jordan and E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.776685Z

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 a313405e-9172-4d16-9358-658ed2066b8a · outbound

This paper cites Bravyi and Alexei Yu.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Bravyi and Alexei Yu

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.740901Z

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 ef6456a9-9daf-48f2-b61d-ddf267185c4b · outbound

This paper cites Mapping local Hamiltonians of fermions to local Hamiltonians of spins.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Mapping local Hamiltonians of fermions to local Hamiltonians of spins

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.719916Z

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 de1b8978-ad28-4991-8622-ed3a95ed44c1 · outbound

This paper cites Local spin operators for fermion simulations.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Local spin operators for fermion simulations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.690493Z

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 23159ce1-4b95-480b-90ac-4b52cde4237e · outbound

This paper cites Optimal fermion-to-qubit mapping via ternary trees with applications to reduced quantum states learning.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Optimal fermion-to-qubit mapping via ternary trees with applications to reduced quantum states learning

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.651887Z

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 7fcfaa2d-a239-45d2-a372-9352c77534d9 · outbound

This paper cites Clifford Algebras, Spin Groups and Qubit Trees.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Clifford Algebras, Spin Groups and Qubit Trees

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.627032Z

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 51cb2350-0ea9-4f20-9cc7-bf9506cfee91 · outbound

This paper cites Majorana loop stabilizer codes for error mitigation in fermionic quantum simulations.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Majorana loop stabilizer codes for error mitigation in fermionic quantum simulations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.598814Z

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 703b703c-7884-48cf-ac12-26e927857cbe · outbound

This paper cites Compact fermion to qubit mappings.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Compact fermion to qubit mappings

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.569842Z

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 d477924d-03c1-4508-be01-7b70480d1694 · outbound

This paper cites Chien and Joel Klassen.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Chien and Joel Klassen

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.532753Z

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 0312cf86-4c68-48f2-829f-cab8ac24b402 · outbound

This paper cites The Complexity of the Local Hamiltonian Problem.

Ternary tree transformations are equivalent to linear encodings of the Fock basis The Complexity of the Local Hamiltonian Problem

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.501017Z

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 0a775f08-3b76-4b2b-b53b-223bf79d9b2b · outbound

This paper cites McClean, Ryan Babbush, Peter J.

Ternary tree transformations are equivalent to linear encodings of the Fock basis McClean, Ryan Babbush, Peter J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.466661Z

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 09324f22-cb1b-4dd4-ba5a-4e5313e4a42b · outbound

This paper cites Electronic Structure in a Fixed Basis is QMA-complete.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Electronic Structure in a Fixed Basis is QMA-complete

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-11T18:50:00.801460Z

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 50d5d7a7-4e9a-42f4-8648-0152e1f1bb83 · outbound

This paper cites Quantum measurements and the Abelian stabilizer problem.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Quantum measurements and the Abelian stabilizer problem

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T18:50:00.300273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a951eb47-b769-4dfa-a982-fd421000c9e8 · outbound

This paper cites Dutoi, Peter J.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Dutoi, Peter J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.445309Z

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 036d359e-6c34-4052-af9f-ffd8c6e3f4b3 · outbound

This paper cites Quantum algorithm for obtaining the energy spectrum of molecular systems.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Quantum algorithm for obtaining the energy spectrum of molecular systems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.418543Z

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 19e0c1bf-0b20-47a1-8229-396ab269d71a · outbound

This paper cites Abrams and Seth Lloyd.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Abrams and Seth Lloyd

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.390798Z

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 9b97bec7-e1af-4d58-9d5a-b945d60a13a4 · outbound

This paper cites A variational eigenvalue solver on a quantum processor.

Ternary tree transformations are equivalent to linear encodings of the Fock basis A variational eigenvalue solver on a quantum processor

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.363237Z

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 2ebf1a84-ac58-4ab9-a34d-a9b27ed9a0f9 · outbound

This paper cites The theory of variational hybrid quantum-classical algorithms.

Ternary tree transformations are equivalent to linear encodings of the Fock basis The theory of variational hybrid quantum-classical algorithms

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.319664Z

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 1c7d1039-bf61-4c53-8d8a-85093c85e1b9 · outbound

This paper cites Exact bosonization in two spatial dimensions and a new class of lattice gauge theories.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Exact bosonization in two spatial dimensions and a new class of lattice gauge theories

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.296073Z

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 0a636bfb-bcb7-46c4-9bfa-c6a646a0aa38 · outbound

This paper cites Equivalence between Fermion-to-Qubit mappings in two Spatial Dimensions.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Equivalence between Fermion-to-Qubit mappings in two Spatial Dimensions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.269322Z

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 5dba438f-4cf3-4049-b1be-5a50c7387e70 · outbound

This paper cites A Sierpinski Triangle Data Structure for Efficient Array Value Update and Prefix Sum Calculation.

Ternary tree transformations are equivalent to linear encodings of the Fock basis A Sierpinski Triangle Data Structure for Efficient Array Value Update and Prefix Sum Calculation

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-11T18:50:00.666038Z

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 9b8f5f48-3119-4fbe-ba26-9869ec91ccb2 · outbound

This paper cites Seeley, Martin J.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Seeley, Martin J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.242315Z

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 afc8f530-a297-485b-a1f2-32fe4674aca0 · outbound

This paper cites Resource-Optimized Fermionic Local-Hamiltonian Simulation on Quantum Computer for Quantum Chemistry.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Resource-Optimized Fermionic Local-Hamiltonian Simulation on Quantum Computer for Quantum Chemistry

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T18:50:00.637930Z

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 e67b4607-358d-4110-b1f8-f905ed760b63 · outbound

This paper cites Markov, and Yunseong Nam.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Markov, and Yunseong Nam

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.206748Z

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 011a656b-904c-4a5d-a0bd-a7df5e15ed5d · outbound

This paper cites Fermion-to-qubit mappings with varying resource requirements for quantum simulation.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Fermion-to-qubit mappings with varying resource requirements for quantum simulation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.173347Z

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 29e17277-aa9f-4a0b-94f7-8b63983cc909 · outbound

This paper cites Quantum codes for quantum simulation of fermions on a square lattice of qubits.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Quantum codes for quantum simulation of fermions on a square lattice of qubits

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.152480Z

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 be983081-6dc2-4b9e-9126-a58e17bac2a3 · outbound

This paper cites Bonsai Algorithm: Grow Your Own Fermion-to-Qubit Mappings.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Bonsai Algorithm: Grow Your Own Fermion-to-Qubit Mappings

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.123743Z

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 e98f80c8-d5ea-4318-b5f8-82e6677a9f81 · outbound

This paper cites Treespilation: Architecture- and State-Optimised Fermion- to-Qubit Mappings, 2024.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Treespilation: Architecture- and State-Optimised Fermion- to-Qubit Mappings, 2024

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.089987Z

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 46dc259c-77a8-4b1e-8df9-12e5045dabab · outbound

This paper cites Local Jordan-Wigner transformations on the torus.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Local Jordan-Wigner transformations on the torus

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-11T18:50:00.605030Z

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 bc1af45d-e3c0-4a12-ae5c-1c24ec9c1f33 · outbound

This paper cites Williamson, Jutho Haegeman, and Frank Verstraete.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Williamson, Jutho Haegeman, and Frank Verstraete

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.066721Z

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 0286d477-6fb7-4723-b519-9bb9b3289a56 · outbound

This paper cites A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation.

Ternary tree transformations are equivalent to linear encodings of the Fock basis A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.045091Z

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 83476d6f-be3a-448a-a54e-f7ec76d4fd56 · outbound

This paper cites Gambetta, Antonio Mezzacapo, and Kristan Temme.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Gambetta, Antonio Mezzacapo, and Kristan Temme

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:01.012370Z

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 445c18ee-aa04-4e94-8e70-5695ca95df5f · outbound

This paper cites The Clifford group, stabilizer states, and linear and quadratic operations over GF(2).

Ternary tree transformations are equivalent to linear encodings of the Fock basis The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-11T18:50:00.574430Z

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 9da8196d-b5a1-4ada-82dc-aa29a73adb6b · outbound

This paper cites Symmetry-adapted encodings for qubit number reduction by point- group and other Boolean symmetries.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Symmetry-adapted encodings for qubit number reduction by point- group and other Boolean symmetries

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:00.981470Z

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 2ddc2d9a-c5a1-4e7b-8f3e-74a632f5522e · outbound

This paper cites Whit- field.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Whit- field

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:00.951392Z

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 5510f914-697f-4c47-b98b-6e200c885720 · outbound

This paper cites Hadamard-Free Circuits Expose the Structure of the Clifford Group.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Hadamard-Free Circuits Expose the Structure of the Clifford Group

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:00.923040Z

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 1cb4469f-81c9-4b61-82bf-200fc420d2ac · outbound

This paper cites Reducing the qubit requirement of Jordan-Wigner encodings of n-mode, k-fermion systems from n to ⌈log2 N K ⌉, 2023.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Reducing the qubit requirement of Jordan-Wigner encodings of n-mode, k-fermion systems from n to ⌈log2 N K ⌉, 2023

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:00.892180Z

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 8bc51685-28bb-42b0-9d5c-8ac8e53c0845 · outbound

This paper cites Quantum circuits of CNOT gates.

Ternary tree transformations are equivalent to linear encodings of the Fock basis Quantum circuits of CNOT gates

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T18:50:00.467787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 325daa40-7f97-4be1-8cf6-2bf225babeaf · outbound

This paper cites On sets of maximally commuting and anticommuting Pauli operators.

Ternary tree transformations are equivalent to linear encodings of the Fock basis On sets of maximally commuting and anticommuting Pauli operators

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:50:00.864245Z

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 eda4a807-62ac-42d1-a327-1a245e914e8e · outbound

This paper cites classical encoding of the Fock basis m.

Ternary tree transformations are equivalent to linear encodings of the Fock basis classical encoding of the Fock basis m

Reference 40

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T18:50:00.835014Z

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.

Pith citing papers

Observation 01e945de-a8c4-4b06-9f65-0e36a1e64344 · inbound

Swap Network Augmented Ans\"atze on Arbitrary Connectivity cites this paper.

Swap Network Augmented Ans\"atze on Arbitrary Connectivity Ternary tree transformations are equivalent to linear encodings of the Fock basis

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-19T02:06:58.611283Z

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 8171effd-f554-4c10-8693-cbacac54a744 · inbound

Asymptotically Optimal Depth Fermionic Permutation on 2D Grid Quantum Architecture without Ancillas cites this paper.

Asymptotically Optimal Depth Fermionic Permutation on 2D Grid Quantum Architecture without Ancillas Ternary tree transformations are equivalent to linear encodings of the Fock basis

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-06-29T21:53:59.057753Z

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.