QJSD Contraction for Thermal GAD: η = 1-γ

Alex B. Shvets

doi:10.5281/zenodo.18261045

January 15, 2026Open Access

QJSD Contraction for Thermal GAD: η = 1-γ

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Key Points

The aim is to determine the exact contraction coefficient for quantum Jensen-Shannon divergence (QJSD) under a thermal GAD channel.
Derivation of the contraction coefficient using the formula η_QJSD = 1-γ.
Application of the BKM metric for analytical proof.
Investigation of Y-mode dominance in the thermal GAD context.
The contraction coefficient η for QJSD is confirmed to be 1-γ.
The analysis provides a solid theoretical foundation for understanding quantum divergence behavior.

Implication

This analysis demonstrates the contraction coefficient for quantum Jensen-Shannon divergence in a thermal GAD channel, suggesting a significant mathematical insight.

Abstract

Exact contraction coefficient for quantum Jensen-Shannon divergence under thermal GAD channel (p=1/2): η_QJSD = 1-γ. Analytical proof via BKM metric and Y-mode dominance.

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Cite This Study

Alex B. Shvets (2026) studied this question.

synapsesocial.com/papers/696b2672d2a12237a9349b53 https://doi.org/10.5281/zenodo.18261045

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QJSD Contraction for Thermal GAD: η = 1-γ

Key Points

Implication

Abstract

Discussion

Cite This Study

QJSD Contraction for Thermal GAD: η = 1-γ

Key Points

Implication

Abstract

Discussion

Cite This Study

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