An Invitation to Quantum Channels

Francesco Petruccione; Vinayak Jagadish

RECORD

An Invitation to Quantum Channels

Quantum Physics · Submitted 3 Feb 2019

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

The authors' main claim Here, we review the formalism of dynamical maps used to represent the time evolution of open quantum systems and discuss the various representations and properties of the same, with many examples.

how it is stated · asserted 0.86 read the record →

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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, 2,267 input tokens.

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

The abstract, sentence by sentence

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

Open quantum systems have become an active area of research, owing to its potential applications in many different fields ranging from computation to biology. Here, we review the formalism of dynamical maps used to represent the time evolution of open quantum systems and discuss the various representations and properties of the same, with many examples.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Open quantum systems have become an active area of research, owing to its potential applications in many different fields ranging from computation to biology.	background 1.00	0.04	0.04	asserted 0.98
s1	Here, we review the formalism of dynamical maps used to represent the time evolution of open quantum systems and discuss the various representations and properties of the same, with many examples.	contribution 0.99	0.67	0.17	asserted 0.86

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.94.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

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

Open quantum systems have become an active area of research, owing to its potential applications in many different fields ranging from computation to biology. Here, we review the formalism of dynamical maps used to represent the time evolution of open quantum systems and discuss the various representations and properties of the same, with many examples.

Human review

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Entropy production versus memory effects in two-level open quantum systems
quant-ph 2026-01 conditional novelty 7.0 of 10

For qubit phase-covariant dynamics, the map entropy production is non-negative exactly when the dynamics is P-divisible, giving a thermodynamic witness of memory effects.
Supervised quantum machine learning models are kernel methods
quant-ph 2021-01 conditional novelty 5.0 of 10

Any supervised quantum model that encodes data into a fixed quantum state and predicts a measurement expectation is a linear model in a kernel feature space, so its optimal measurement is a weighted sum of the trainin...

How the literature uses it

2 arXiv papers cite this in 2 sentences

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 2 papers

More precisely, the most general dynamics of a quantum system is described by a quantum map [ref] , which are CPTP maps (Completely Positive Trace Preserving maps).

Entropy production versus memory effects in two-level open quantum systems · Comparison between the entropy production, CP-divisibility and the BLP criterion · 1.00
Vectorised density matrices are common in the theory of open quantum systems [ref] , where they are written as $ρ$ (see also the Choi-Jamiolkowski isomorphism).

Supervised quantum machine learning models are kernel methods · Making sense of matrix-valued feature vectors · 0.97

What it cites · 6 sentences without a confident label

Cites as background 2 papers

The search for potential entanglement witnesses is an active area of research and the interested reader may refer to [ref] .

Entanglement witnesses: construction, analysis and classification · Applications of NCP maps · 0.95
Let us take a short mathematical digression, introducing a few notations and a few results [ref] which will help us to follow the subsequent ideas presented.

Bell Measurements and Observables · Preliminaries · 0.87

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