Explicit convergence rates for noncommutative SOS hierarchies on the Pauli algebra are bounded using smallest roots of Krawtchouk polynomials.
Certifying Ground-State Properties of Many-Body Systems
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
A hierarchy of SDPs yields lower bounds on spectral gaps of frustration-free Hamiltonians that encompass and improve upon Knabe's bound on 1D spin chains.
SDP yields exact ground-state energies and fermion correlators for free-fermion spin chains but only qualitative agreement for general Ising/Potts models and requires input that scales poorly with volume.
citing papers explorer
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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra
Explicit convergence rates for noncommutative SOS hierarchies on the Pauli algebra are bounded using smallest roots of Krawtchouk polynomials.
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A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems
A hierarchy of SDPs yields lower bounds on spectral gaps of frustration-free Hamiltonians that encompass and improve upon Knabe's bound on 1D spin chains.
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Successes and challenges of using Semidefinite Programming for the study of Spin Chain Hamiltonians
SDP yields exact ground-state energies and fermion correlators for free-fermion spin chains but only qualitative agreement for general Ising/Potts models and requires input that scales poorly with volume.