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Quantum Work Capacitances: ultimate limits for energy extraction on noisy quantum batteries

by Salvatore Tirone, Raffaele Salvia, Stefano Chessa, Vittorio Giovannetti

Submission summary

Authors (as registered SciPost users): Salvatore Tirone
Submission information
Preprint Link:  (pdf)
Date accepted: 2024-07-04
Date submitted: 2024-04-18 15:28
Submitted by: Tirone, Salvatore
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Quantum Physics
Approach: Theoretical


We present a theoretical analysis of the energy recovery efficiency for quantum batteries composed of many identical quantum cells undergoing noise. While the possibility of using quantum effects to speed up the charging processes of batteries have been vastly investigated, In order to traslate these ideas into working devices it is crucial to assess the stability of the storage phase in the quantum battery elements when they are in contact with environmental noise. In this work we formalize this problem introducing a series of operationally well defined figures of merit (the work capacitances and the Maximal Asymptotic Work/Energy Ratios) which gauge the highest efficiency one can attain in recovering useful energy from quantum battery models that are formed by large collections of identical and independent elements (quantum cells or q-cells). Explicit evaluations of such quantities are presented for the case where the energy storing system undergoes through dephasing and depolarizing noise.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

List of changes

We thank the referees and the editor.

As one of the referees requested, we have modified the paper in the following way:

- We have added a small summary of results at the beginning of section 5.
- We have now written in page 5 all the explicit definitions for all the quantities the we used in the article, and we have clarified their meaning and the relations among them.
- We have corrected the typos.
- We have reformulated part of the discussion on the results on the depolarizing channel to answer a question raised by the referee.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

Reports on this Submission

Anonymous Report 1 on 2024-5-27 (Invited Report)


The results in this work are very interesting, and the manuscript now nicely explains those results.




The authors have fully addressed my comments, so I am happy to recommend this work for publication.
I think it is a very nice paper.

Requested changes



Publish (surpasses expectations and criteria for this Journal; among top 10%)

  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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