Classical Simulation of Non-Classical Systems: A Large Deviation Analysis
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909729107738624 |
|---|---|
| author | Brandenburger, Adam La Mura, Pierfrancesco |
| author_facet | Brandenburger, Adam La Mura, Pierfrancesco |
| contents | Any quasi-probability representation of a no-signaling system -- including quantum systems -- can be simulated via a purely classical scheme by allowing signed events and a cancellation procedure. This raises a fundamental question: What properties of the non-classical system does such a classical simulation fail to replicate? We answer by using large deviation theory to show that the probability of a large fluctuation under the classical simulation can be strictly greater than under the actual non-classical system. The key finding driving our result is that negativity in probability relaxes the data processing inequality of information theory. We propose this potential large deviation stability of quantum (and no-signaling) systems as a novel form of quantum advantage. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04920 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classical Simulation of Non-Classical Systems: A Large Deviation Analysis Brandenburger, Adam La Mura, Pierfrancesco Quantum Physics Mathematical Physics Any quasi-probability representation of a no-signaling system -- including quantum systems -- can be simulated via a purely classical scheme by allowing signed events and a cancellation procedure. This raises a fundamental question: What properties of the non-classical system does such a classical simulation fail to replicate? We answer by using large deviation theory to show that the probability of a large fluctuation under the classical simulation can be strictly greater than under the actual non-classical system. The key finding driving our result is that negativity in probability relaxes the data processing inequality of information theory. We propose this potential large deviation stability of quantum (and no-signaling) systems as a novel form of quantum advantage. |
| title | Classical Simulation of Non-Classical Systems: A Large Deviation Analysis |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2503.04920 |