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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17427004 |
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Table of Contents:
- <p>The measurement postulate of quantum mechanics can be reformulated in the</p> <p>language of linear system theory. In classical control theory, observability is defined</p> <p>by the injectivity of the operator mapping initial states to observed outputs. We</p> <p>show that the projection postulate structurally violates this condition: spectral</p> <p><span>projectors are non-injective, hence the pre-measurement state is non-observable in</span></p> <p>the precise system-theoretic sense. While algebraically elementary, this highlights</p> <p>that loss of information in measurement is a structural feature of the theory. We</p> <p>illustrate this with a qubit measured in the <span>σ</span><span>z </span>basis and discuss implications for</p> <p><span>quantum tomography, decoherence, and interpretations of quantum mechanics.</span></p>