Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.02477 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912742816874496 |
|---|---|
| author | Shah, Ronit |
| author_facet | Shah, Ronit |
| contents | We consider the following simple scenario: Alice has one of many possible messages, drawn from a known distribution, and wants to maximize the probability that Bob guesses her message correctly. We prove that if Alice can send only a qudit to Bob, without preshared entanglement, there is never any advantage over sending him a classical dit. This result was previously known only for a uniform distribution.
We also prove a mixed-state generalization of this result in the form of an upper bound on the success probability of discriminating between mixed quantum states with a single measurement. This bound is based solely on the dimension, probability distribution, and eigenvalues of the states and is sharp among such bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02477 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Qudits offer no advantages over dits for sending random messages Shah, Ronit Quantum Physics Information Theory We consider the following simple scenario: Alice has one of many possible messages, drawn from a known distribution, and wants to maximize the probability that Bob guesses her message correctly. We prove that if Alice can send only a qudit to Bob, without preshared entanglement, there is never any advantage over sending him a classical dit. This result was previously known only for a uniform distribution. We also prove a mixed-state generalization of this result in the form of an upper bound on the success probability of discriminating between mixed quantum states with a single measurement. This bound is based solely on the dimension, probability distribution, and eigenvalues of the states and is sharp among such bounds. |
| title | Qudits offer no advantages over dits for sending random messages |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2512.02477 |