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Exact model reduction for discrete-time conditional quantum dynamics

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Tommaso Grigoletto, Francesco Ticozzi

Quantum Physics · Submitted 19 Mar 2024

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

The authors' main claim Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters in discrete-time, while maintaining the correct distributions on the measurement outcomes and the expectations of some relevant observable.

how it is stated · asserted 0.99 read the record →

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arXiv ID2403.12575 (version 2)
Pith IDOYKQZJOC, Pith's permanent record of this paper and its review
CitationFrancesco Ticozzi, Tommaso Grigoletto. "Exact model reduction for discrete-time conditional quantum dynamics." arXiv:2403.12575 (2024). https://pith.science/paper/OYKQZJOC
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,348 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.28 · human participants 0.02 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters in discrete-time, while maintaining the correct distributions on the measurement outcomes and the expectations of some relevant observable. The method is presented for general quantum systems whose dynamics depend on measurement outcomes, hinges on a system-theoretic observability analysis, and is tested on prototypical examples.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters in discrete-time, while maintaining the correct distributions on the measurement outcomes and the expectations of some relevant observable. contribution 0.95 0.92 0.69 asserted 0.99
s1 The method is presented for general quantum systems whose dynamics depend on measurement outcomes, hinges on a system-theoretic observability analysis, and is tested on prototypical examples. method 0.65 0.86 0.17 asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from proof or derivation 0.83.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

The paper
Original abstract

Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters in discrete-time, while maintaining the correct distributions on the measurement outcomes and the expectations of some relevant observable. The method is presented for general quantum systems whose dynamics depend on measurement outcomes, hinges on a system-theoretic observability analysis, and is tested on prototypical examples.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Cites it as background 1 paper

What it cites · 6 sentences without a confident label

Builds on 1 paper
  • A similar approach can be developed to obtain reductions leveraging knowledge of initial conditions, extending the results of [ref] to the present setting.

    2307.06319 · Conclusions · 1.00

Cites as support 1 paper
  • This implies that there is no unconditional model reduction for this model [ref] .

    2307.06319 · Measured quantum walks · 0.98

Cites as background 1 paper
  • More details on the matter can be found in [ref] .

    2307.06319 · $*$-Algebras and conditional expectations · 1.00

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