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Quantum Device Fabrication Process Engineering

Double Markovity for quantum systems

arXiv
Authors: Masahito Hayashi, Jinpei Zhao

Year

2026

Paper ID

3800

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

The subadditivity-doubling-rotation (SDR) technique is a powerful route to Gaussian optimality in classical information theory and relies on strict subadditivity and its equality-case analysis, where double Markovity is a standard tool. We establish quantum analogues of double Markovity. For tripartite states, we characterize the simultaneous Markov conditions A-B-C and A-C-B via compatible projective measurements on B and C that induce a common classical label J yielding A-J-(BC). For strictly positive four-party states, we show that A-(BD)-C and A-(CD)-B hold if and only if A-D-(BC) holds. These results remove a key bottleneck in extending SDR-type arguments to quantum systems.

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  • This paper contributes to the Quantum Device Fabrication & Process Engineering research area in the Quantum Articles archive.
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  • The subadditivity-doubling-rotation (SDR) technique is a powerful route to Gaussian optimality in classical information theory and relies on strict subadditivity and its...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.09995 [2] arXiv https://arxiv.org/abs/2601.09995 [3] Publisher https://arxiv.org/abs/2601.09995

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