Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra | Paper Citation Record

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This paper cites Quantitative semidefinite certificates for ground-state energies of Pauli Hamiltonians.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Quantitative semidefinite certificates for ground-state energies of Pauli Hamiltonians

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This paper cites Quantum Phase Transitions.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Quantum Phase Transitions

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This paper cites Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory

Reference 3

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Classical and Quantum Computation

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This paper cites The Complexity of the Local Hamiltonian Problem.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra The Complexity of the Local Hamiltonian Problem

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This paper cites A QMA-Complete Translationally Invariant Hamiltonian Problem and the Complexity of Finding Ground State Energies in Physical Systems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra A QMA-Complete Translationally Invariant Hamiltonian Problem and the Complexity of Finding Ground State Energies in Physical Systems

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This paper cites The complexity of quantum spin systems on a two-dimensional square lattice.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra The complexity of quantum spin systems on a two-dimensional square lattice

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra The power of quantum systems on a line

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This paper cites Two-dimensional local Hamiltonian problem with area laws is QMA-complete.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Two-dimensional local Hamiltonian problem with area laws is QMA-complete

Reference 9

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Complexity classification of local Hamiltonian problems

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This paper cites The complexity of antiferromagnetic interactions and 2D lattices.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra The complexity of antiferromagnetic interactions and 2D lattices

Reference 11

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This paper cites Almost optimal classical approximation algorithms for a quantum generalization of Max-Cut.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Almost optimal classical approximation algorithms for a quantum generalization of Max-Cut

Reference 12

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This paper cites Beyond product state approximations for a quantum analogue of Max Cut.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Beyond product state approximations for a quantum analogue of Max Cut

Reference 13

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This paper cites Approximation algorithms for quantum many-body problems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Approximation algorithms for quantum many-body problems

Reference 14

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This paper cites An Approximation Algorithm for the MAX-2-Local Hamiltonian Problem.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra An Approximation Algorithm for the MAX-2-Local Hamiltonian Problem

Reference 15

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This paper cites Beating Random Assignment for Approximating Quantum 2-Local Hamiltonian Problems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Beating Random Assignment for Approximating Quantum 2-Local Hamiltonian Problems

Reference 16

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This paper cites Application of the Level-$2$ Quantum Lasserre Hierarchy in Quantum Approximation Algorithms.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Application of the Level-$2$ Quantum Lasserre Hierarchy in Quantum Approximation Algorithms

Reference 17

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This paper cites An optimal product-state approximation for 2-local quantum hamil- tonians with positive terms.arXiv preprint arXiv:2206.08342, 2022.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra An optimal product-state approximation for 2-local quantum hamil- tonians with positive terms.arXiv preprint arXiv:2206.08342, 2022

Reference 18

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This paper cites An SU(2)-symmetric Semidefinite Programming Hierarchy for Quantum Max Cut.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra An SU(2)-symmetric Semidefinite Programming Hierarchy for Quantum Max Cut

Reference 19

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This paper cites An Improved Approximation Algorithm for Quantum Max-Cut.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra An Improved Approximation Algorithm for Quantum Max-Cut

Reference 20

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This paper cites Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators

Reference 21

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This paper cites Second order cone relaxations for quantum Max Cut.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Second order cone relaxations for quantum Max Cut

Reference 22

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This paper cites Improved approximation ratios for the Quantum Max-Cut problem on general, triangle-free and bipartite graphs.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Improved approximation ratios for the Quantum Max-Cut problem on general, triangle-free and bipartite graphs

Reference 23

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Improved approximation algorithms for the EPR Hamiltonian

Reference 24

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This paper cites Improved Algorithms for Quantum MaxCut via Partially Entangled Matchings.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Improved Algorithms for Quantum MaxCut via Partially Entangled Matchings

Reference 25

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This paper cites Lov\'asz theta and Shearer lower bounds on Quantum Max Cut.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Lov\'asz theta and Shearer lower bounds on Quantum Max Cut

Reference 26

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This paper cites Projected entangled states: Properties and applications.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Projected entangled states: Properties and applications

Reference 27

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This paper cites Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems

Reference 28

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Quantum Monte Carlo and Related Approaches

Reference 29

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra From Architectures to Applications: A Review of Neural Quantum States

Reference 30

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This paper cites A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations

Reference 31

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Convergent relaxations of polynomial optimization problems with non-commuting variables

Reference 32

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This paper cites Global Optimization with Polynomials and the Problem of Moments.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Global Optimization with Polynomials and the Problem of Moments

Reference 33

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robust- ness and Optimization

Reference 34

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Observation 608a2b9d-960d-452d-9e83-b83b5dcb8b2c · outbound

This paper cites Sums of Squares, Moment Matrices and Optimization Over Polynomials.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Sums of Squares, Moment Matrices and Optimization Over Polynomials

Reference 35

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This paper cites A positivstellensatz for non-commutative polynomials.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra A positivstellensatz for non-commutative polynomials

Reference 36

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Observation 6d940f6d-16f6-478e-a55b-f5cb9f0a7333 · outbound

This paper cites An Explicit Exact SDP Relaxation for Nonlinear 0-1 Programs.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra An Explicit Exact SDP Relaxation for Nonlinear 0-1 Programs

Reference 37

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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Semidefinite programming relaxations for quantum correlations

Reference 38

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This paper cites Variational calculations of fermion second-order reduced density matrices by semidefinite programming algorithm.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Variational calculations of fermion second-order reduced density matrices by semidefinite programming algorithm

Reference 39

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Observation 69aa7fea-6321-4ade-8af1-74725d4f4390 · outbound

This paper cites Lower Bounds for Ground States of Condensed Matter Systems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Lower Bounds for Ground States of Condensed Matter Systems

Reference 40

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Observation 6d12f5de-2e69-4a48-836b-6bb4ffaad40c · outbound

This paper cites Solving condensed-matter ground-state problems by semidefinite relaxations.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Solving condensed-matter ground-state problems by semidefinite relaxations

Reference 41

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Observation bb40efb5-22ea-4d40-971b-45207f811fad · outbound

This paper cites Quantum Many-body Bootstrap.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Quantum Many-body Bootstrap

Reference 42

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Observation 70a41078-fa6e-44a5-9589-c004d6eedeb6 · outbound

This paper cites Quantum Many-body Theory from a Solution of the $N$-representability Problem.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Quantum Many-body Theory from a Solution of the $N$-representability Problem

Reference 43

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Observation fd8b2456-6c80-4407-9e2b-167a4f2cb875 · outbound

This paper cites Certifying ground-state properties of quantum many-body systems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Certifying ground-state properties of quantum many-body systems

Reference 44

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This paper cites Scal- able Ground-State Certification of Quantum Spin Systems via Structured Noncommutative Polyno- mial Optimization.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Scal- able Ground-State Certification of Quantum Spin Systems via Structured Noncommutative Polyno- mial Optimization

Reference 45

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Observation 8a8d640e-fa9e-48ea-8432-caeadc23bdea · outbound

This paper cites Product-state Approximations to Quantum Ground States.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Product-state Approximations to Quantum Ground States

Reference 46

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Observation c4894abc-3a50-4a91-b413-117d97a1d72c · outbound

This paper cites On the complexity of Putinar's Positivstellensatz.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra On the complexity of Putinar's Positivstellensatz

Reference 47

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Observation 1d635721-cac6-4983-ba0a-a10b75b31a57 · outbound

This paper cites Convergence rates of moment-sum-of-squares hierarchies for optimal control problems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Convergence rates of moment-sum-of-squares hierarchies for optimal control problems

Reference 48

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Observation d8b83317-a11c-4e02-803c-82f91b4f6486 · outbound

This paper cites Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets

Reference 49

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Observation 0f57d266-5fbf-42bc-b381-d1d940eaf043 · outbound

This paper cites The sum-of-squares hierarchy on the sphere, and applications in quantum information theory.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra The sum-of-squares hierarchy on the sphere, and applications in quantum information theory

Reference 50

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Observation 550c3dff-b8ea-45d1-9a49-813f21ccd801 · outbound

This paper cites Sum-of-squares hierarchies for polynomial optimization and the Christoffel-Darboux kernel.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Sum-of-squares hierarchies for polynomial optimization and the Christoffel-Darboux kernel

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.500768Z

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Observation eafb117c-9f4d-4e37-93ca-51f229dba17c · outbound

This paper cites An effective version of Schm\"udgen's Positivstellensatz for the hypercube.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra An effective version of Schm\"udgen's Positivstellensatz for the hypercube

Reference 52

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.511580Z

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Observation 45543574-b933-4773-a902-5f4d5b965cb3 · outbound

This paper cites On the Effective Putinar's Positivstellensatz and Moment Approximation.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra On the Effective Putinar's Positivstellensatz and Moment Approximation

Reference 53

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.488133Z

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Observation 8adacff3-8af0-4037-98d6-213d9d9a2487 · outbound

This paper cites Degree bounds for Putinar's Positivstellensatz on the hypercube.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Degree bounds for Putinar's Positivstellensatz on the hypercube

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.496674Z

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Observation c0359837-4fac-4367-aa78-457ee2479ea5 · outbound

This paper cites Convergence rates for the moment-SoS hierarchy.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Convergence rates for the moment-SoS hierarchy

Reference 55

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.578624Z

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Observation b0b624c3-7a91-4750-964f-a154b32cab1e · outbound

This paper cites Specialized effective Positivstellens\"atze for improved convergence rates of the moment-SOS hierarchy.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Specialized effective Positivstellens\"atze for improved convergence rates of the moment-SOS hierarchy

Reference 56

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.556001Z

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Observation 42885bd8-461c-4fa5-b54d-b19cc269712c · outbound

This paper cites On {\L}ojasiewicz Inequalities and the Effective Putinar's Positivstellensatz.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra On {\L}ojasiewicz Inequalities and the Effective Putinar's Positivstellensatz

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.558572Z

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Observation 20bfa7a2-6d32-4bdf-b931-c5aeee12d81d · outbound

This paper cites Convergence rates for sums-of-squares hierarchies with correlative sparsity.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Convergence rates for sums-of-squares hierarchies with correlative sparsity

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.487663Z

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Observation 0062f8b1-18cb-4831-b967-4bf173ec499a · outbound

This paper cites Convergence rates for polynomial optimization on set products.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Convergence rates for polynomial optimization on set products

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-07-02T08:26:48.474270Z

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Observation c74e5dce-5c5f-4e1a-9e23-cdc7c749e06d · outbound

This paper cites Sum-of-squares hierarchies for binary polynomial optimization.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Sum-of-squares hierarchies for binary polynomial optimization

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.504843Z

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Observation 4a5dcf71-5a58-4951-8197-35d20a8c015d · outbound

This paper cites An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.573687Z

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Observation 8c603021-f1b5-4606-b54e-d4422836175f · outbound

This paper cites Orthogonal Polynomials.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Orthogonal Polynomials

Reference 62

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation 1a8a8083-3d3e-4c4c-9f15-ff28be81b317 · outbound

This paper cites Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces

Reference 63

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation 66ec15f4-866e-460b-a326-f4bee1e7cd6b · outbound

This paper cites Sur une g ´en´eralisation des polyn ˆomes d’Hermite.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Sur une g ´en´eralisation des polyn ˆomes d’Hermite

Reference 64

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation b29f3755-1c31-4a08-9148-8870c1fc8f7c · outbound

This paper cites Association schemes and coding theory.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Association schemes and coding theory

Reference 65

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation 43b2908c-7e39-4302-b488-53685b71ba21 · outbound

This paper cites Algebraic Combinatorics.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Algebraic Combinatorics

Reference 66

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation 9b791cc9-4eec-4a11-a9cd-37bf820f7a04 · outbound

This paper cites Quantum MacWilliams Identities.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Quantum MacWilliams Identities

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-07-02T08:26:48.471954Z

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Observation 0daa7ac8-3b95-41d0-934c-5277e2bd9da9 · outbound

This paper cites SDP bounds on quantum codes.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra SDP bounds on quantum codes

Reference 68

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.489985Z

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Observation e005412e-0e79-4426-b94a-989de2a7ac98 · outbound

This paper cites The Christoffel–Darboux Kernel for Data Analysis.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra The Christoffel–Darboux Kernel for Data Analysis

Reference 69

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation dceaa7b4-9678-440f-b18d-c08828219b21 · outbound

This paper cites Noncommutative Christoffel-Darboux Kernels.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Noncommutative Christoffel-Darboux Kernels

Reference 70

Resolution: verified exact; arxiv_id, observed 2026-07-02T08:26:48.545848Z

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Observation 9571ec0a-6308-4850-9a27-1271172a889d · outbound

This paper cites Interacting electrons and quantum magnetism.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Interacting electrons and quantum magnetism

Reference 71

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation e9e99105-c764-4319-b87d-91275f5c1d08 · outbound

This paper cites Exact semidefinite programming re- laxations with truncated moment matrix for binary polynomial optimization problems.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra Exact semidefinite programming re- laxations with truncated moment matrix for binary polynomial optimization problems

Reference 72

Resolution: unresolved; no resolver link, observed 2026-06-28T05:59:12.615897Z

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Observation 9d0c7a41-3d93-4dcd-ae9e-7e75c6ab90d2 · outbound

This paper cites “Algebra”.

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra “Algebra”

Reference 73

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