SciPost Submission Page
Stabilizer disentangling of conformal field theories
by Martina Frau, Poetri Sonya Tarabunga, Mario Collura, Emanuele Tirrito and Marcello Dalmonte
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Marcello Dalmonte · Martina Frau |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202501_00021v1 (pdf) |
| Date submitted: | 2025-01-13 15:04 |
| Submitted by: | Frau, Martina |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approaches: | Theoretical, Computational |
Abstract
Understanding how entanglement can be reduced through simple operations is crucial for both classical and quantum algorithms. We investigate the entanglement properties of lattice models hosting conformal field theories cooled via local Clifford operations, a procedure we refer to as stabilizer disentangling. We uncover two distinct regimes: a constant gain regime, where disentangling is volume-independent, and a log-gain regime, where disentanglement increases with volume, characterized by a reduced effective central charge. In both cases, disentangling efficiency correlates with the target state magic, with larger magic leading to more effective cooling. The dichotomy between the two cases stems from mutual stabilizer Renyi entropy, which influences the entanglement cooling process. We provide an analytical understanding of such effect in the context of cluster Ising models, that feature disentangling global Clifford operations. Our findings indicate that matrix product states possess subclasses based on the relationship between entanglement and magic, and clarifying the potential of new classes of variational states embedding Clifford dynamics within matrix product states.
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
Current status:
Reports on this Submission
Strengths
- interesting results on the interplay between magic and disentangling power
Weaknesses
- unclear what are the main conclusions
Report
The paper studies the possibility of disentangling ground state of one dimensional systems that are conformal invariant through local Clifford disentangler. The question is timely and interesting; however, I am not sure to follow exactly what the authors want to claim. I understand that the disentangling power is related to the amount of magic, but then I don't really see a clearly presented relation between short range magic and long-range one. The authors introduce m_chi=2 which it is really difficult to understand what its meaning. Why chi = 2 and not chi = 1 or 6? Disentangling should be about decomposing log scaling entanglement to area law. Moreover, given that these are CFTs, one should also study how critical proprieties change by increasing chi and disentangling power. I find the paper quite drafty, with no clear sense of what are the main statements and physical implications.
Requested changes
- clarify the main messages regarding magic and entangling power, clarify the role of m_chi= 2
- study critical proprieties (for example the spectral gap) as function of bond dimension and disentangling power
Recommendation
Ask for major revision
Strengths
The effect of sequential disentanglement on the one-dimensional critical states is evaluated by means of the MPS formalism.
Weaknesses
The link between the structure (or definition) of the Hamiltonian and the corresponding ground state property is not straight forward.
Report
The effect of the local and sequential applications of Chlifford gates on the entanglement entropy is examined for the critical parameter case of several one-dimensional quantum models. The numerical investigation is performed for the ground state of finite size systems, which is represented by the matrix product state created by the DMRG method. It turned out that there is a group of states where the suppression of the entanglement entropy increases with the system size. In this manner, it is numerically confirmed that critical ground states can be classified into at least two groups. Theoretical origin of this phenomena is discussed. Definitions of calculated values are given clearly, and the explanations are well structured. As an article which provides new view points on the critical ground state, I recommend the publication of this article even as it is.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)
Author: Martina Frau on 2025-03-27 [id 5321]
(in reply to Report 1 on 2025-02-18)We thank the Referee for their careful evaluation of the manuscript and for recognizing the potential impact of our work to understanding entanglement entropy suppression in critical ground states and its classification into distinct groups. Their recommendation for publication as it is greatly encourages us. We are pleased that the explanations and definitions in our manuscript were clear and well-structured.
Author: Martina Frau on 2025-03-27 [id 5320]
(in reply to Report 2 on 2025-02-23)Dear Referee,
we thank you for your careful evaluation of the manuscript. We've attached a detailed point-by-point reply to the report including additional graphs.
Yours sincerely,
the authors
Attachment:
Reply_Referee_2.pdf