What question did this study set out to answer?

The aim is to extend the Hamming Decay Theorem to include anisotropic effects in quantum state coherence.

April 18, 2026Open Access

Geodesometry of Coherence: A Discrete Dynamical Extension of Hamming Decay in Quantum State Spaces

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This work demonstrates anisotropic effects on decoherence in quantum states, suggesting new insights into coherence loss.

The aim is to extend the Hamming Decay Theorem to include anisotropic effects in quantum state coherence.
Introduces geodesometry of coherence as a discrete dynamical extension.
Applies anisotropic weights to edges of the Hamming hypercube.
Presents a minimal 3-qubit model with varying weights.
Defines explicit GO/KILL conditions for testing.
Pairs of states with equal Hamming distance show different decoherence rates.
Equal Hamming distance does not imply equal transition costs under anisotropic conditions.
Proposes a minimal experimental protocol for verification.

Arturo Cerezo (2026) studied this question.

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April 18, 2026Open Access

View Full Paper

Ask AI

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Authors

This work demonstrates anisotropic effects on decoherence in quantum states, suggesting new insights into coherence loss.

The aim is to extend the Hamming Decay Theorem to include anisotropic effects in quantum state coherence.
Introduces geodesometry of coherence as a discrete dynamical extension.
Applies anisotropic weights to edges of the Hamming hypercube.
Presents a minimal 3-qubit model with varying weights.
Defines explicit GO/KILL conditions for testing.
Pairs of states with equal Hamming distance show different decoherence rates.
Equal Hamming distance does not imply equal transition costs under anisotropic conditions.
Proposes a minimal experimental protocol for verification.

Arturo Cerezo (2026) studied this question.

View Full Paper

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