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Fluctuation Relation for Qubit-Calorimetry

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Antti Kupiainen, Paolo Muratore-Ginanneschi, Jukka Pekola, Kay Schwieger

Quantum Physics · Submitted 9 Jun 2016

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

The authors' main claim We prove a fluctuation relation and deduce from it a notion of entropy production.

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arXiv ID1606.02984 (version 1)
Pith IDTXWI45ZQ, Pith's permanent record of this paper and its review
CitationAntti Kupiainen, Jukka Pekola, Kay Schwieger, Paolo Muratore-Ginanneschi. "Fluctuation Relation for Qubit-Calorimetry." arXiv:1606.02984 (2016). https://pith.science/paper/TXWI45ZQ
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,529 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.05 · mentions code or data availability 0.02.

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

Motivated by proposed thermometry measurement on an open quantum system, we present a simple model of an externally driven qubit interacting with a finite sized, fermion environment acting as calorimeter. The derived dynamics is governed by a stochastic Schr\"odinger equation coupled to the temperature change of the calorimeter. We prove a fluctuation relation and deduce from it a notion of entropy production. Finally, we discuss the first and second law associated to the dynamics.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 Motivated by proposed thermometry measurement on an open quantum system, we present a simple model of an externally driven qubit interacting with a finite sized, fermion environment acting as calorimeter. contribution 0.70 0.68 0.05 asserted 0.97
s1 The derived dynamics is governed by a stochastic Schr\"odinger equation coupled to the temperature change of the calorimeter. method 0.88 0.87 0.06 asserted 1.00
s2 We prove a fluctuation relation and deduce from it a notion of entropy production. result 0.81 0.95 0.61 asserted 1.00
s3 Finally, we discuss the first and second law associated to the dynamics. interpretation 0.64 0.85 0.14 unclear 0.52

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

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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

The paper
Original abstract

Motivated by proposed thermometry measurement on an open quantum system, we present a simple model of an externally driven qubit interacting with a finite sized, fermion environment acting as calorimeter. The derived dynamics is governed by a stochastic Schr\"odinger equation coupled to the temperature change of the calorimeter. We prove a fluctuation relation and deduce from it a notion of entropy production. Finally, we discuss the first and second law associated to the dynamics.

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1 arXiv paper cite this in 3 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 · 1 sentence without a confident label

Builds on it 1 paper
Uses its method or tool 1 paper
  • Under the above assumptions [ref] , we unravel the Markovian approximation for the qubit dynamics in the form of a Poisson-stochastic Schrödinger equation [ref] [equation] The vector $ψ∈ℂ^2$ instantaneously specifies the state of the qubit.

    A model for calorimetric measurements in an open quantum system · Qubit-Calorimeter Process · 0.95

What it cites · 14 sentences without a confident label

Builds on 3 papers
Uses the method or tool of 1 paper
Compares with 2 papers
Cites as background 16 papers
  • In classical non-equilibrium thermodynamics, a group of relations commonly referred to as fluctuation theorems ( [ref] , see also [ref] for review) links the distribution of the work done on a small system during a transition from an equilibrium state to the free energy of the system at the transition end-states.

    Dynamical Ensembles in Nonequilibrium Statistical Mechanics · Introduction · 1.00

  • In classical non-equilibrium thermodynamics, a group of relations commonly referred to as fluctuation theorems ( [ref] , see also [ref] for review) links the distribution of the work done on a small system during a transition from an equilibrium state to the free energy of the system at the transition end-states.

    A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics · Introduction · 1.00

  • In classical non-equilibrium thermodynamics, a group of relations commonly referred to as fluctuation theorems ( [ref] , see also [ref] for review) links the distribution of the work done on a small system during a transition from an equilibrium state to the free energy of the system at the transition end-states.

    Fluctuation Relations for Diffusion Processes · Introduction · 1.00

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