Paper Citation Record · LEDGER

Optimal Lower Bounds for Hamiltonian Simulation

As of 17 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2607.19852.

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

pith.paper-citation-record.v1
2607.19852 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:51:37.622432Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:14:03.998060Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T15:14:04.671970Z

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 4efafdf6-5f63-4f9d-bf39-eb918af875e9 · outbound

This paper cites Quantum algorithm for simulating real time evolution of lattice Hamiltonians.

Optimal Lower Bounds for Hamiltonian Simulation Quantum algorithm for simulating real time evolution of lattice Hamiltonians

Reference 1

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Observation b850ddfe-0561-49de-abc0-5338210d1f96 · outbound

This paper cites Nearly optimal lattice simulation by product formulas.

Optimal Lower Bounds for Hamiltonian Simulation Nearly optimal lattice simulation by product formulas

Reference 2

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Observation 7669fb3d-9d01-479d-956c-ee2c283c1a38 · outbound

This paper cites A Theory of Trotter Error.

Optimal Lower Bounds for Hamiltonian Simulation A Theory of Trotter Error

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.530787Z

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Observation 63e5ef3f-4c8a-4a0f-9712-072e3d61ccc1 · outbound

This paper cites Faster Digital Quantum Simulation by Symmetry Protection.

Optimal Lower Bounds for Hamiltonian Simulation Faster Digital Quantum Simulation by Symmetry Protection

Reference 4

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Observation f5ce5979-dd3c-4f0a-98f0-9748d495f261 · outbound

This paper cites Hamiltonian simulation in the low-energy subspace.

Optimal Lower Bounds for Hamiltonian Simulation Hamiltonian simulation in the low-energy subspace

Reference 5

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Observation 4af50924-e828-43d0-a475-04a509467458 · outbound

This paper cites Hamiltonian simulation with random inputs.

Optimal Lower Bounds for Hamiltonian Simulation Hamiltonian simulation with random inputs

Reference 6

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Observation b58e4cf9-8314-43d9-a4a0-372c1f880a7c · outbound

This paper cites Average-case Speedup for Product Formulas.

Optimal Lower Bounds for Hamiltonian Simulation Average-case Speedup for Product Formulas

Reference 7

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Observation 7fab7ce8-0ff4-4195-8df9-970584fa503c · outbound

This paper cites Locality and digital quantum simulation of power-law interactions.

Optimal Lower Bounds for Hamiltonian Simulation Locality and digital quantum simulation of power-law interactions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.544634Z

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Observation 15a8bf00-6064-4aee-bee1-1c48c64eb3a8 · outbound

This paper cites Compilation by stochastic Hamiltonian sparsification.

Optimal Lower Bounds for Hamiltonian Simulation Compilation by stochastic Hamiltonian sparsification

Reference 9

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Observation 069b939d-a802-4a38-af4b-fd1171ef3a7a · outbound

This paper cites Low rank representations for quantum simulation of electronic structure.

Optimal Lower Bounds for Hamiltonian Simulation Low rank representations for quantum simulation of electronic structure

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.549563Z

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Observation b3c97f02-023c-47cb-be24-64c056fca1b1 · outbound

This paper cites Lloyd, Universal quantum simulators, Science273, 1073 (1996).

Optimal Lower Bounds for Hamiltonian Simulation Lloyd, Universal quantum simulators, Science273, 1073 (1996)

Reference 11

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Observation 16e9c99a-735b-440c-8641-704741e34840 · outbound

This paper cites Hamiltonian Simulation Using Linear Combinations of Unitary Operations.

Optimal Lower Bounds for Hamiltonian Simulation Hamiltonian Simulation Using Linear Combinations of Unitary Operations

Reference 12

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Observation 6d32ee9b-3368-4b86-a2c0-e80b71cc6274 · outbound

This paper cites Simulating Hamiltonian dynamics with a truncated Taylor series.

Optimal Lower Bounds for Hamiltonian Simulation Simulating Hamiltonian dynamics with a truncated Taylor series

Reference 13

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Observation 84dd7369-4a12-4d26-8db6-89544a47bbef · outbound

This paper cites Optimal Hamiltonian Simulation by Quantum Signal Processing.

Optimal Lower Bounds for Hamiltonian Simulation Optimal Hamiltonian Simulation by Quantum Signal Processing

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.559486Z

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Observation 564d6e78-7afb-452b-a015-58b22cea6c15 · outbound

This paper cites Hamiltonian Simulation by Qubitization.

Optimal Lower Bounds for Hamiltonian Simulation Hamiltonian Simulation by Qubitization

Reference 15

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Observation a24832fa-3604-4319-91d8-4f3b1c4fff45 · outbound

This paper cites A random compiler for fast Hamiltonian simulation.

Optimal Lower Bounds for Hamiltonian Simulation A random compiler for fast Hamiltonian simulation

Reference 16

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Observation f44b3b8a-ade7-481d-a8e6-d414012b96ce · outbound

This paper cites Faster quantum simulation by randomization.

Optimal Lower Bounds for Hamiltonian Simulation Faster quantum simulation by randomization

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.566811Z

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Observation 2d4ebf59-3409-498c-9307-061e991e25fe · outbound

This paper cites Chen, H.-Y.

Optimal Lower Bounds for Hamiltonian Simulation Chen, H.-Y

Reference 18

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Observation 6330f77d-c974-4c4b-b35f-c2e787717b0c · outbound

This paper cites Composite Quantum Simulations.

Optimal Lower Bounds for Hamiltonian Simulation Composite Quantum Simulations

Reference 19

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Observation 2f78ee85-6256-4299-8f84-fe34ca44dc3d · outbound

This paper cites A Partially Random Trotter Algorithm for Quantum Hamiltonian Simulations.

Optimal Lower Bounds for Hamiltonian Simulation A Partially Random Trotter Algorithm for Quantum Hamiltonian Simulations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.573827Z

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Observation bd91c525-8afe-4bdb-9908-83404a8d239f · outbound

This paper cites Hybridized Methods for Quantum Simulation in the Interaction Picture.

Optimal Lower Bounds for Hamiltonian Simulation Hybridized Methods for Quantum Simulation in the Interaction Picture

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.576519Z

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Observation 46487a7d-ac1c-4e8a-958e-f19de2dd7fad · outbound

This paper cites Importance sampling for stochastic quantum simulations.

Optimal Lower Bounds for Hamiltonian Simulation Importance sampling for stochastic quantum simulations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.578917Z

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Observation 427295cd-e2f0-4459-90ec-f6234fc3b839 · outbound

This paper cites Composite QDrift-Product Formulas for Quantum and Classical Simulations in Real and Imaginary Time.

Optimal Lower Bounds for Hamiltonian Simulation Composite QDrift-Product Formulas for Quantum and Classical Simulations in Real and Imaginary Time

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.581369Z

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Observation cd56247e-1c99-463c-b334-3033960c5761 · outbound

This paper cites Efficient quantum algorithms for simulating sparse Hamiltonians.

Optimal Lower Bounds for Hamiltonian Simulation Efficient quantum algorithms for simulating sparse Hamiltonians

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.583683Z

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Observation 697f3c1a-b6df-438c-8a98-4100bca14a05 · outbound

This paper cites Limitations on the simulation of non-sparse Hamiltonians.

Optimal Lower Bounds for Hamiltonian Simulation Limitations on the simulation of non-sparse Hamiltonians

Reference 25

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Observation f569cf81-600d-4e49-8d0b-ac7a9d3b7b62 · outbound

This paper cites Exponential improvement in precision for simulating sparse Hamiltonians.

Optimal Lower Bounds for Hamiltonian Simulation Exponential improvement in precision for simulating sparse Hamiltonians

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.588675Z

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Observation 34e68c95-cb6a-413e-b977-9a343c26016c · outbound

This paper cites Hamiltonian simulation with nearly optimal dependence on all parameters.

Optimal Lower Bounds for Hamiltonian Simulation Hamiltonian simulation with nearly optimal dependence on all parameters

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.591221Z

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Observation 7d8a9cdd-5547-49c0-a297-f0682a351e6f · outbound

This paper cites Fast-forwarding of Hamiltonians and Exponentially Precise Measurements.

Optimal Lower Bounds for Hamiltonian Simulation Fast-forwarding of Hamiltonians and Exponentially Precise Measurements

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.593693Z

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Observation defc12e5-4f54-4b71-930d-379b6c3b9ce5 · outbound

This paper cites an unresolved cited work.

Optimal Lower Bounds for Hamiltonian Simulation Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.596260Z

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Observation 4971c66d-d870-4a7a-864b-e08c546d01e4 · outbound

This paper cites Shorter gate sequences for quantum computing by mixing unitaries.

Optimal Lower Bounds for Hamiltonian Simulation Shorter gate sequences for quantum computing by mixing unitaries

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.598479Z

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Observation b1fff5c9-81d0-4cf6-8802-2f614b240c1a · outbound

This paper cites Turning Gate Synthesis Errors into Incoherent Errors.

Optimal Lower Bounds for Hamiltonian Simulation Turning Gate Synthesis Errors into Incoherent Errors

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.600902Z

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Observation fdd8542e-ad09-4193-953a-894092e5f458 · outbound

This paper cites Randomizing multi-product formulas for Hamiltonian simulation.

Optimal Lower Bounds for Hamiltonian Simulation Randomizing multi-product formulas for Hamiltonian simulation

Reference 32

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Observation ddb00c7b-a9e9-46c5-9f63-e6031ad608ae · outbound

This paper cites qSWIFT: High-order randomized compiler for Hamiltonian simulation.

Optimal Lower Bounds for Hamiltonian Simulation qSWIFT: High-order randomized compiler for Hamiltonian simulation

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.605708Z

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Observation a6413a0c-0c03-4307-a978-23e4621ec78a · outbound

This paper cites Exponentially Reduced Circuit Depths Using Trotter Error Mitigation.

Optimal Lower Bounds for Hamiltonian Simulation Exponentially Reduced Circuit Depths Using Trotter Error Mitigation

Reference 34

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Observation befaf155-cd58-4641-880a-50f433d8bd05 · outbound

This paper cites Randomly Compiled Quantum Simulation with Exponentially Reduced Circuit Depths.

Optimal Lower Bounds for Hamiltonian Simulation Randomly Compiled Quantum Simulation with Exponentially Reduced Circuit Depths

Reference 35

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Observation 122539f7-ece6-4bc0-bb0a-622ecba56f75 · outbound

This paper cites Hamiltonian simulation with nearly optimal dependence on spectral norm.

Optimal Lower Bounds for Hamiltonian Simulation Hamiltonian simulation with nearly optimal dependence on spectral norm

Reference 36

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Observation a75e36bd-554f-42dc-9db1-70086601cb9d · outbound

This paper cites Quantum simulation with sum-of-squares spectral amplification.

Optimal Lower Bounds for Hamiltonian Simulation Quantum simulation with sum-of-squares spectral amplification

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.615499Z

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Observation ecf3fef4-a7ee-4fa5-8b08-ffc01e208db8 · outbound

This paper cites an unresolved cited work.

Optimal Lower Bounds for Hamiltonian Simulation Unresolved cited work

Reference 38

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Observation b05d8992-1df5-424b-b39e-4507287d74e3 · outbound

This paper cites Even more efficient quantum computations of chemistry through tensor hypercontraction.

Optimal Lower Bounds for Hamiltonian Simulation Even more efficient quantum computations of chemistry through tensor hypercontraction

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T11:51:37.620014Z

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Observation b4565c26-19a8-4ac5-bb96-904d1e215673 · outbound

This paper cites hard-code.

Optimal Lower Bounds for Hamiltonian Simulation hard-code

Reference 40

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Pith citing papers

Observation 3d43b042-3cc3-4e12-ae94-c12b38df2705 · inbound

Time-Dependent Hamiltonian Simulation with Optimal Query Complexity cites this paper.

Time-Dependent Hamiltonian Simulation with Optimal Query Complexity Optimal Lower Bounds for Hamiltonian Simulation

Reference 18

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T15:14:04.721379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.