ROQAM formulates Green's function estimation via orthogonal polynomials to preserve Hessenberg structure under finite precision, enabling lower precision with depth and outperforming QSVD by orders of magnitude in resource estimates for a quantum impurity model.
Rapid Quantum Ground State Preparation via Dissipative Dynamics , volume=
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A two-level low-rank method using tall-skinny factorization plus tensor-train compression enables completely positive trace-preserving integration of the Lindblad equation for systems with up to 10^19 degrees of freedom.
Extends KMS-detailed balance constructions from open quantum systems to prepare microcanonical ensembles and other stationary states with criteria for efficient implementation.
citing papers explorer
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Estimating Green's functions with a robust quantum Arnoldi method
ROQAM formulates Green's function estimation via orthogonal polynomials to preserve Hessenberg structure under finite precision, enabling lower precision with depth and outperforming QSVD by orders of magnitude in resource estimates for a quantum impurity model.
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Completely Positive and Trace Preserving Schemes with Tensor Train Compression for the Lindblad Equation
A two-level low-rank method using tall-skinny factorization plus tensor-train compression enables completely positive trace-preserving integration of the Lindblad equation for systems with up to 10^19 degrees of freedom.
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Dissipative microcanonical ensemble preparation from KMS-detailed balance
Extends KMS-detailed balance constructions from open quantum systems to prepare microcanonical ensembles and other stationary states with criteria for efficient implementation.