Understanding Quantum Instruments Through the Analysis of $C^*$-Convexity and Their Marginals
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_ | 1866915496524251136 |
|---|---|
| author | Bhat, B. V. Rajarama Chongdar, Arghya Sruthymurali |
| author_facet | Bhat, B. V. Rajarama Chongdar, Arghya Sruthymurali |
| contents | Quantum instruments are mathematical devices introduced to describe the conditional state change during a quantum process. They are completely positive map valued measures on measurable spaces. We may also view them as non-commutative analogues of joint probability measures. We analyze the $C^*$-convexity structure of spaces of quantum instruments. A complete description of the $C^*$-extreme instruments in finite dimensions has been established. Further, the implications of $C^*$-extremity between quantum instruments and their marginals has been explored. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Understanding Quantum Instruments Through the Analysis of $C^*$-Convexity and Their Marginals Bhat, B. V. Rajarama Chongdar, Arghya Sruthymurali Operator Algebras Mathematical Physics Quantum Physics 47A20, 46L53, 81P16, 81P47 Quantum instruments are mathematical devices introduced to describe the conditional state change during a quantum process. They are completely positive map valued measures on measurable spaces. We may also view them as non-commutative analogues of joint probability measures. We analyze the $C^*$-convexity structure of spaces of quantum instruments. A complete description of the $C^*$-extreme instruments in finite dimensions has been established. Further, the implications of $C^*$-extremity between quantum instruments and their marginals has been explored. |
| title | Understanding Quantum Instruments Through the Analysis of $C^*$-Convexity and Their Marginals |
| topic | Operator Algebras Mathematical Physics Quantum Physics 47A20, 46L53, 81P16, 81P47 |
| url | https://arxiv.org/abs/2509.11785 |