SciPost Submission Page
Nonlocal correlations in noisy multiqubit systems simulated using matrix product operators
by H. Landa, G. Misguich
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Haggai Landa |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2203.05871v3 (pdf) |
| Code repository: | https://github.com/qiskit-community/lindbladmpo |
| Date accepted: | 2023-02-13 |
| Date submitted: | 2022-11-25 07:52 |
| Submitted by: | Landa, Haggai |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Computational |
Abstract
We introduce an open-source solver for the Lindblad master equation, based on matrix product states and matrix product operators. Using this solver we study the dynamics of tens of interacting qubits with different connectivities, focusing on a problem where an edge qubit is being continuously driven on resonance, which is a fundamental operation in quantum devices. Because of the driving, induced excitations propagate through the qubits until the system reaches a steady state due to the incoherent terms. We find that with alternating-frequency qubits whose interactions with their off-resonant neighbors appear weak, the tunneling excitations lead to large correlations between distant qubits in the system. Some two-qubit correlation functions are found to increase as a function of distance in the system (in contrast to the typical decay with distance), peaking on the two edge qubits farthest apart from each other.
Author comments upon resubmission
We would like to thank again the referees of the previous refereeing round for reading our manuscript and writing their reports.
We have clarified the points pointed to by the second referee, added some new explanations and simulations, and restructured slightly the manuscript following his/her suggestion.
Despite the first referee's recommendation to publish the paper in SciPost Physics, we are following the second referee's recommendation to resubmit to SciPost Physics Core.
With kind regards,
The authors.
List of changes
In Section 4.2 we have looked at the concurrence as a measure of nonseparability of the edge qubits and added a plot of its dynamics for different system sizes, together with a discussion of this point.
In Section 2.5 we have improved the explanation of the "1D path".
We have clarified a few explanations and emphasized a few points along the paper, adding some references where needed.
We have created separate sections for the chain dynamics (Sec. 3) and for the plaquette dynamics (Sec. 4). We have shortened the former and have incorporated some correlation results from the appendix into the latter.
Published as SciPost Phys. Core 6, 037 (2023)
Reports on this Submission
Report
After the last modifications the manuscript has improved very much. It presents a nice solid research work that definitely fulfills the acceptance criteria of SciPost Physics Core. I think it can be published in its current form.