Computing Quantum Resources using Tensor Cross Interpolation

• URL: http://arxiv.org/abs/2502.06956v2
• Date: Fri, 04 Apr 2025 07:04:57 GMT
• Title: Computing Quantum Resources using Tensor Cross Interpolation
• Authors: Sven Benjamin Kožić, Gianpaolo Torre,
• Abstract summary: We propose a general procedure based on the family of Cross Interpolation (TCI) algorithms to address this challenge.<n>We compute the non-stabilizerness R'enyi entropy (SRE) and Relative Entropy of Coherence (REC) considering the 1D and 2D ferromagnetic Ising models.<n>This method not only demonstrates its versatility, but also provides a generic framework for exploring other quantum information quantifiers in complex systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum information quantifiers are indispensable tools for analyzing strongly correlated systems. Consequently, developing efficient and robust numerical methods for their computation is crucial. We propose a general procedure based on the family of Tensor Cross Interpolation (TCI) algorithms to address this challenge in a fully general framework, independent of the system or the quantifier under consideration. To substantiate our approach, we compute the non-stabilizerness R\'{e}nyi entropy (SRE) and Relative Entropy of Coherence (REC) considering the 1D and 2D ferromagnetic Ising models with minimal modifications to the numerical procedure. This method not only demonstrates its versatility, but also provides a generic framework for exploring other quantum information quantifiers in complex systems.

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