Specifying the Intrinsic Back-action of a General Measurement

• URL: http://arxiv.org/abs/2503.21296v1
• Date: Thu, 27 Mar 2025 09:23:51 GMT
• Title: Specifying the Intrinsic Back-action of a General Measurement
• Authors: Liang-Liang Sun, Armin Tavakoli, René Schwonnek, Matthias Kleinmann, Zhen-Peng Xu, Sixia Yu,
• Abstract summary: We propose a mathematically rigorous and physically well-grounded characterization of intrinsic back-action in quantum measurement processes.<n>Our framework provides a detailed analysis by explicitly decomposing the disturbance effects into two distinct contributions.<n>Our rule establishes quantitaive connections between intrinsic disturbance and other fundamental quantum features, such as randomness, uncertainty, and information gain.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Understanding the invasive nature of quantum measurement and its implications in quantum foundations and information science demands a mathematically rigorous and physically well-grounded characterization of intrinsic back-action in general measurement processes. However, such a framework remains elusive, leaving a critical gap in quantum theory. Here, we address this issue by conceptualizing a general quantum measurement as a reduction of extended projection measurements ensured by Naimark's theorem and, derive a state-updating rule for the concerned measurement as a reduction of the projective measurements postulate. Our framework provides a detailed analysis by explicitly decomposing the disturbance effects into two distinct contributions: those arising from the measurement elements themselves and those resulting from the dilation process. Notably, this formulation naturally recovers the projection postulate in the case of projective measurements. Beyond providing insights into joint measurability, non-disturbance, our rule establishes quantitaive connections between intrinsic disturbance and other fundamental quantum features, such as randomness, uncertainty, and information gain.

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