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Entropy and information gain in quantum continual measurements

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Alberto Barchielli

Quantum Physics · Submitted 21 Dec 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Then we introduce and use the notion of information gain and the other results of the paper [1] inside the theory of continual measurements. [1] M.

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arXiv IDquant-ph/0012115 (version 1)
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CitationAlberto Barchielli. "Entropy and information gain in quantum continual measurements." arXiv:quant-ph/0012115 (2000). https://pith.science/paper/KODRFUUV
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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.07 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.22 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

The theory of measurements continuous in time in quantum mechanics (quantum continual measurements) has been formulated by using the notions of instrument, positive operator valued measure, etc., by using quantum stochastic differential equations and by using classical stochastic differential equations (SDE's) for vectors in Hilbert spaces or for trace-class operators. In the same times Ozawa made developments in the theory of instruments and introduced the related notions of a posteriori states and of information gain [1]. In this paper we introduce a simple class of SDE's relevant to the theory of continual measurements and we recall how they are related to instruments and a posteriori states and, so, to the general formulation of quantum mechanics. Then we introduce and use the notion of information gain and the other results of the paper [1] inside the theory of continual measurements. [1] M. Ozawa, On information gain by quantum measurements of continuous observables, J. Math. Phys. 27 (1986) 759-763.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The theory of measurements continuous in time in quantum mechanics (quantum continual measurements) has been formulated by using the notions of instrument, positive operator valued measure, etc., by using quantum stochastic differential equations and by using classical stochastic differential equations (SDE's) for vectors in Hilbert spaces or for trace-class operators. background 1.00 0.09 0.04 asserted 1.00
s1 In the same times Ozawa made developments in the theory of instruments and introduced the related notions of a posteriori states and of information gain [1]. background 1.00 0.03 0.03 asserted 1.00
s2 In this paper we introduce a simple class of SDE's relevant to the theory of continual measurements and we recall how they are related to instruments and a posteriori states and, so, to the general formulation of quantum mechanics. contribution 0.96 0.84 0.11 asserted 0.99
s3 Then we introduce and use the notion of information gain and the other results of the paper [1] inside the theory of continual measurements. [1] M. contribution 0.91 0.76 0.20 asserted 0.97
s4 Ozawa, On information gain by quantum measurements of continuous observables, J. Math. Phys. 27 (1986) 759-763. background 1.00 0.03 0.02 unclear 0.89

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

The theory of measurements continuous in time in quantum mechanics (quantum continual measurements) has been formulated by using the notions of instrument, positive operator valued measure, etc., by using quantum stochastic differential equations and by using classical stochastic differential equations (SDE's) for vectors in Hilbert spaces or for trace-class operators. In the same times Ozawa made developments in the theory of instruments and introduced the related notions of a posteriori states and of information gain [1]. In this paper we introduce a simple class of SDE's relevant to the theory of continual measurements and we recall how they are related to instruments and a posteriori states and, so, to the general formulation of quantum mechanics. Then we introduce and use the notion of information gain and the other results of the paper [1] inside the theory of continual measurements. [1] M. Ozawa, On information gain by quantum measurements of continuous observables, J. Math. Phys. 27 (1986) 759-763.

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