Data Processing Inequality for The Quantum Guesswork
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929687440130048 |
|---|---|
| author | Mejdoub, Ilyass Béguinot, Julien Rioul, Olivier |
| author_facet | Mejdoub, Ilyass Béguinot, Julien Rioul, Olivier |
| contents | Non-orthogonal quantum states pose a fundamental challenge in quantum information processing, as they cannot be distinguished with absolute certainty. Conventionally, the focus has been on minimizing error probability in quantum state discrimination tasks. However, another criterion known as quantum guesswork has emerged as a crucial measure in assessing the distinguishability of non-orthogonal quantum states, when we are allowed to query a sequence of states. In this paper, we generalize well known properties in the classical setting that are relevant for the guessing problem. Specifically, we establish the pre and post Data Processing Inequalities. We also derive a more refined lower bound on quantum guesswork. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16012 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Data Processing Inequality for The Quantum Guesswork Mejdoub, Ilyass Béguinot, Julien Rioul, Olivier Quantum Physics Information Theory Non-orthogonal quantum states pose a fundamental challenge in quantum information processing, as they cannot be distinguished with absolute certainty. Conventionally, the focus has been on minimizing error probability in quantum state discrimination tasks. However, another criterion known as quantum guesswork has emerged as a crucial measure in assessing the distinguishability of non-orthogonal quantum states, when we are allowed to query a sequence of states. In this paper, we generalize well known properties in the classical setting that are relevant for the guessing problem. Specifically, we establish the pre and post Data Processing Inequalities. We also derive a more refined lower bound on quantum guesswork. |
| title | Data Processing Inequality for The Quantum Guesswork |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2407.16012 |