Information Transport in Classical-Quantum Hybrid System

Fuente: arXiv
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Main Authors: Rapp, Julian, Joshi, Radhika H., van Steensel, Alwin, Nazarov, Yuli V., Ansari, Mohammad H.
Format: Preprint
Published: 2025
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author Rapp, Julian
Joshi, Radhika H.
van Steensel, Alwin
Nazarov, Yuli V.
Ansari, Mohammad H.
author_facet Rapp, Julian
Joshi, Radhika H.
van Steensel, Alwin
Nazarov, Yuli V.
Ansari, Mohammad H.
contents Many important quantities in quantum information science, such as entropy and entanglement, are non-linear functions of the density matrix and cannot be expressed as operator observables. Standard open-system approaches evolve only a single copy of the density matrix, making it impossible to track the dynamics of such quantities. A formalism proposed by some of the present authors addressed this challenge by evolving multiple virtual replicas, but was limited to the weak-coupling regime. Here, we extend this approach to strong coupling between a quantum system and classical environments. The resulting multi-replica master equation enables direct evaluation of entropy flow and related metrics in strongly hybridized quantum-classical systems. Our results show that quantum coherence and hybridization jointly suppress net entropy transfer, creating a thermodynamic bottleneck. This framework provides a general tool for studying entropy dynamics and guiding the design of more robust, resource-efficient quantum hardware.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07870
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Information Transport in Classical-Quantum Hybrid System
Rapp, Julian
Joshi, Radhika H.
van Steensel, Alwin
Nazarov, Yuli V.
Ansari, Mohammad H.
Quantum Physics
Mesoscale and Nanoscale Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
Many important quantities in quantum information science, such as entropy and entanglement, are non-linear functions of the density matrix and cannot be expressed as operator observables. Standard open-system approaches evolve only a single copy of the density matrix, making it impossible to track the dynamics of such quantities. A formalism proposed by some of the present authors addressed this challenge by evolving multiple virtual replicas, but was limited to the weak-coupling regime. Here, we extend this approach to strong coupling between a quantum system and classical environments. The resulting multi-replica master equation enables direct evaluation of entropy flow and related metrics in strongly hybridized quantum-classical systems. Our results show that quantum coherence and hybridization jointly suppress net entropy transfer, creating a thermodynamic bottleneck. This framework provides a general tool for studying entropy dynamics and guiding the design of more robust, resource-efficient quantum hardware.
title Information Transport in Classical-Quantum Hybrid System
topic Quantum Physics
Mesoscale and Nanoscale Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2508.07870