Pith. Sign in

RECORD

Jarzynski equality for quantum stochastic maps

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Alexey E. Rastegin, Karol Życzkowski

Quantum Physics · Submitted 20 Jul 2013

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

The authors' main claim We analyze here a more general case of arbitrary quantum operations on finite systems and derive the corresponding form of the Jarzynski equality.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1307.5370 (version 4)
Pith ID3QHORVG5, Pith's permanent record of this paper and its review
CitationAlexey E. Rastegin, Karol \.Zyczkowski. "Jarzynski equality for quantum stochastic maps." arXiv:1307.5370 (2013). https://pith.science/paper/3QHORVG5
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,205 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.30 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.52 · compares with prior results 0.85 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

Jarzynski equality and related fluctuation theorems can be formulated for various setups. Such an equality was recently derived for nonunitary quantum evolutions described by unital quantum operations, i.e., for completely positive, trace-preserving maps, which preserve the maximally mixed state. We analyze here a more general case of arbitrary quantum operations on finite systems and derive the corresponding form of the Jarzynski equality. It contains a correction term due to nonunitality of the quantum map. Bounds for the relative size of this correction term are established and they are applied for exemplary systems subjected to quantum channels acting on a finite-dimensional Hilbert space.

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 Jarzynski equality and related fluctuation theorems can be formulated for various setups. background 1.00 0.05 0.02 asserted 0.82
s1 Such an equality was recently derived for nonunitary quantum evolutions described by unital quantum operations, i.e., for completely positive, trace-preserving maps, which preserve the maximally mixed state. background 1.00 0.05 0.05 asserted 1.00
s2 We analyze here a more general case of arbitrary quantum operations on finite systems and derive the corresponding form of the Jarzynski equality. contribution 1.00 0.95 0.30 asserted 1.00
s3 It contains a correction term due to nonunitality of the quantum map. result 0.98 0.84 0.41 asserted 1.00
s4 Bounds for the relative size of this correction term are established and they are applied for exemplary systems subjected to quantum channels acting on a finite-dimensional Hilbert space. result 0.53 0.91 0.15 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v4
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

Jarzynski equality and related fluctuation theorems can be formulated for various setups. Such an equality was recently derived for nonunitary quantum evolutions described by unital quantum operations, i.e., for completely positive, trace-preserving maps, which preserve the maximally mixed state. We analyze here a more general case of arbitrary quantum operations on finite systems and derive the corresponding form of the Jarzynski equality. It contains a correction term due to nonunitality of the quantum map. Bounds for the relative size of this correction term are established and they are applied for exemplary systems subjected to quantum channels acting on a finite-dimensional Hilbert space.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

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

Compares with it 1 paper

What it cites · 7 sentences without a confident label

Uses the method or tool of 1 paper
  • Following Ref. [ref] , we define the corresponding average [equation] Double angular brackets in the left-hand side denote the averaging over the ensemble of possible pairs of measurement outcomes.

    Jarzynski Relations for Quantum Systems and Some Applications · Jarzynski equality for bistochastic maps · 0.91

Compares with 1 paper
  • Using notation ([ref]) for a function of two eigenvalues, we then obtain [equation] This result was recently derived in Ref. [ref] and earlier by Tasaki [ref] under a weaker assumption of a unitary evolution.

    Jarzynski Relations for Quantum Systems and Some Applications · Jarzynski equality for bistochastic maps · 0.84

Cites as background 4 papers

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.