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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Quantum Potato Chips

arXiv
Authors: Nikolay Murzin, Bruno Tenorio, Sebastian Rodriguez, John McNally, Mohammad Bahrami

Year

2024

Paper ID

37321

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

We examine qubit states under symmetric informationally-complete measurements, representing state vectors as probability 4-vectors within a 3-simplex in bb(R)4. Using geometric transformations, this 3-simplex is mapped to a tetrahedron in bb(R)3. A specific surface within this tetrahedron allows for the separation of probability vectors into two disjoint 1-simplices. The intersection of this surface with the insphere identifies a "quantum potato chip" region, where probability 4-vectors reduce to two binary classical variables. States within this region can be fully reconstructed using only two given projective measurements, a feature not found elsewhere in the state space.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We examine qubit states under symmetric informationally-complete measurements, representing state vectors as probability 4-vectors within a 3-simplex in bb(R)^4.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2411.01082 [2] arXiv https://arxiv.org/abs/2411.01082 [3] Publisher https://arxiv.org/abs/2411.01082

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