Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-14T04:31:22.336028Z
Paper Citation Record · LEDGER
Moment-Structured Block Encodings of Periodic Finite-Difference Operators
As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.11596.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
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Reference resolution
31 of 31 outbound references displayed
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Outbound references
Observation fc617757-709a-44cb-8a84-72c2d8b51781 · outbound
This paper cites safe-band.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators safe-band
Reference 1
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Observation 90f9bdae-3b3c-40e8-a36d-f1ce2d96ce25 · outbound
This paper cites We now look at the specific case of the Laplacian, which has a moment order ofm= 2.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators We now look at the specific case of the Laplacian, which has a moment order ofm= 2
Reference 2
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Observation aeb813b5-5f97-449f-97f0-0deacdb024c1 · outbound
This paper cites In this example, we show that the biharmonic operator with moment orderm= 4 demonstrates that the family characteristics are fully encompassed by the moment order.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators In this example, we show that the biharmonic operator with moment orderm= 4 demonstrates that the family characteristics are fully encompassed by the moment order
Reference 3
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Observation c6004088-8935-4d98-82af-7083d2d5c33c · outbound
This paper cites Again, observing the symbol, it is evident that the supremum is atθ=π, giving bH ∞ = 1, while the block encoding normalization constantλ= P t |ct|= (1 + 4 + 6 + 4 + 1)/16 = 1.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Again, observing the symbol, it is evident that the supremum is atθ=π, giving bH ∞ = 1, while the block encoding normalization constantλ= P t |ct|= (1 + 4 + 6 + 4 + 1)/16 = 1
Reference 4
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Observation 12e520de-1f35-4ec5-aacb-bddfee776d12 · outbound
This paper cites Energy methods for free boundary problems: applications to nonlinear pdes and fluid mechanics.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Energy methods for free boundary problems: applications to nonlinear pdes and fluid mechanics
Reference 5
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Observation 163cb33e-bd94-495f-99ed-cfdd52389998 · outbound
This paper cites On some nonlocal evolution equations arising in materials science.Nonlinear dynamics and evolution equations, 2006.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators On some nonlocal evolution equations arising in materials science.Nonlinear dynamics and evolution equations, 2006
Reference 6
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Observation adf66de4-7bd1-4ca2-99f4-e9e6ca6bcc09 · outbound
This paper cites American Mathematical Soc., 2000.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators American Mathematical Soc., 2000
Reference 7
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Observation ca5073a0-5b38-4db1-b113-aecfec3c52c0 · outbound
This paper cites Springer Science & Business Media, 1999.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Springer Science & Business Media, 1999
Reference 8
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Observation af272bea-f56d-463b-96e6-63082d393eb5 · outbound
This paper cites Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
Reference 9
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Observation 54f848f9-2022-43e1-881b-623747ca5756 · outbound
This paper cites Grand unification of quantum algorithms.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Grand unification of quantum algorithms
Reference 10
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Observation 65225538-82b9-4a64-b5f5-95c9cfc1691b · outbound
This paper cites Hamiltonian simulation by qubitization.Quantum, 3:163, 2019.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Hamiltonian simulation by qubitization.Quantum, 3:163, 2019
Reference 11
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Observation 119ba84d-ab40-48c0-9be6-9ae858c8679d · outbound
This paper cites Efficient quantum algorithms for simulating sparse hamiltonians.Communications in Mathematical Physics, 270(2):359–371, 2007.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Efficient quantum algorithms for simulating sparse hamiltonians.Communications in Mathematical Physics, 270(2):359–371, 2007
Reference 12
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Observation 779c978a-4d25-4c96-b202-c1c20c4b52ca · outbound
This paper cites Hamiltonian simulation with nearly optimal dependence on all parameters.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Hamiltonian simulation with nearly optimal dependence on all parameters
Reference 13
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Observation ef07703f-538f-42c0-bbcb-b911e610dd7b · outbound
This paper cites Quantum algorithm for systems of linear equations with exponentially improved dependence on precision.SIAM Journal on Computing, 46(6):1920–1950, 2017.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Quantum algorithm for systems of linear equations with exponentially improved dependence on precision.SIAM Journal on Computing, 46(6):1920–1950, 2017
Reference 14
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Observation aa7f10c3-792f-482e-b5a7-b6fbb3c6fc0b · outbound
This paper cites Efficient block-encodings require structure.arXiv preprint arXiv:2509.19667, 2025.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Efficient block-encodings require structure.arXiv preprint arXiv:2509.19667, 2025
Reference 15
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Observation f7269de9-b9e5-40c7-a93d-2f9357d7d558 · outbound
This paper cites Explicit quantum circuits for block encodings of certain sparse matrices.SIAM Journal on Matrix Analysis and Applications, 45(1):801–827, 2024.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Explicit quantum circuits for block encodings of certain sparse matrices.SIAM Journal on Matrix Analysis and Applications, 45(1):801–827, 2024
Reference 16
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Observation dee41931-4742-48e6-8a75-8c74151c2321 · outbound
This paper cites Block-encoding structured matrices for data input in quantum computing.Quantum, 8:1226, 2024.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Block-encoding structured matrices for data input in quantum computing.Quantum, 8:1226, 2024
Reference 17
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Observation 8312f7fc-e215-417c-82ff-42ede6249c50 · outbound
This paper cites Block encoding of sparse matrices with a periodic diagonal structure.arXiv preprint arXiv:2602.10589, 2026.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Block encoding of sparse matrices with a periodic diagonal structure.arXiv preprint arXiv:2602.10589, 2026
Reference 18
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Observation da5559da-1ae6-4e28-9bde-d0d8e90aed45 · outbound
This paper cites On efficient quantum block encoding of pseudo-differential operators.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators On efficient quantum block encoding of pseudo-differential operators
Reference 19
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Observation ff25e6dd-ff06-48dc-9af7-642615f401bd · outbound
This paper cites Block Encoding of Sparse Matrices via Coherent Permutation.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Block Encoding of Sparse Matrices via Coherent Permutation
Reference 20
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Observation d33764c9-f9e1-4279-9623-5e0efcb42d84 · outbound
This paper cites Efficient and Explicit Block Encoding of Finite Difference Discretizations of the Laplacian.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Efficient and Explicit Block Encoding of Finite Difference Discretizations of the Laplacian
Reference 21
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Observation a5658ccd-10ea-4b9e-835a-88c34c130d82 · outbound
This paper cites Explicit block encodings of boundary value problems for many-body elliptic operators.Quantum, 9:1764, 2025.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Explicit block encodings of boundary value problems for many-body elliptic operators.Quantum, 9:1764, 2025
Reference 22
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Observation cf54bef7-13e0-4e1d-80b8-7515b5e894de · outbound
This paper cites Hamiltonian Simulation Using Linear Combinations of Unitary Operations.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Hamiltonian Simulation Using Linear Combinations of Unitary Operations
Reference 23
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Observation 77f542aa-c513-49bc-a077-6aad8781fee0 · outbound
This paper cites Torosov and Nikolay V.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Torosov and Nikolay V
Reference 24
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Observation d1e875c1-e15a-4c99-8619-59619dacb299 · outbound
This paper cites Explicit Block Encoding of Difference-of-Gaussian Operators on a Periodic Grid.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Explicit Block Encoding of Difference-of-Gaussian Operators on a Periodic Grid
Reference 25
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Observation 346804ad-bce4-44b8-855a-e4c3ce9c2cca · outbound
This paper cites Finite difference methods for the infinity laplace and p-laplace equations.Journal of Computational and Applied Mathematics, 254:65–80, 2013.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Finite difference methods for the infinity laplace and p-laplace equations.Journal of Computational and Applied Mathematics, 254:65–80, 2013
Reference 26
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Observation 28d52c45-2c48-4744-a657-5f842ec4340a · outbound
This paper cites Numerical methods for the fractional laplacian: A finite difference- quadrature approach.SIAM Journal on Numerical Analysis, 52(6):3056–3084, 2014.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Numerical methods for the fractional laplacian: A finite difference- quadrature approach.SIAM Journal on Numerical Analysis, 52(6):3056–3084, 2014
Reference 27
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Observation e612c715-33cc-4a25-a9b2-ed9cbc74d750 · outbound
This paper cites A novel and accurate finite difference method for the fractional laplacian and the fractional poisson problem.Journal of Computational Physics, 355:233–252, 2018.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators A novel and accurate finite difference method for the fractional laplacian and the fractional poisson problem.Journal of Computational Physics, 355:233–252, 2018
Reference 28
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Observation 121bdb7d-b7fc-455b-bcb4-4cb958b5d903 · outbound
This paper cites The accuracy of finite-difference solutions of laplace’s equation.IEEE Transactions on Microwave Theory and Techniques, 15(10):575–582, 2003.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators The accuracy of finite-difference solutions of laplace’s equation.IEEE Transactions on Microwave Theory and Techniques, 15(10):575–582, 2003
Reference 29
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Observation 4d9d5f8b-6e46-4de3-8a95-56ffe80a6281 · outbound
This paper cites Corrected mean-field models for spatially dependent advection-diffusion- reaction phenomena.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 83(5):051922, 2011.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Corrected mean-field models for spatially dependent advection-diffusion- reaction phenomena.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 83(5):051922, 2011
Reference 30
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Observation 8caeef79-7dfd-48ed-a9b5-7d3515c7cd6f · outbound
This paper cites Numerical advection algorithms and their role in atmospheric transport and chemistry models.
Moment-Structured Block Encodings of Periodic Finite-Difference Operators Numerical advection algorithms and their role in atmospheric transport and chemistry models
Reference 31
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Pith citing papers
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