Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.22100 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911394525347840 |
|---|---|
| author | Chen, Qian Collins, Benoît Fawzi, Omar |
| author_facet | Chen, Qian Collins, Benoît Fawzi, Omar |
| contents | We study the problem of testing $k$-block-positivity via symmetric $N$-extendibility by taking the tensor product with a $k$-dimensional maximally entangled state. We exploit the unitary symmetry of the maximally entangled state to reduce the size of the corresponding semidefinite programs (SDP). For example, for $k=2$, the SDP is reduced from one block of size $2^{N+1} d^{N+1}$ to $\lfloor \frac{N+1}{2} \rfloor$ blocks of size $\approx O( (N-1)^{-1} 2^{N+1} d^{N+1} )$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry reduction for testing $k$-block-positivity via extendibility Chen, Qian Collins, Benoît Fawzi, Omar Quantum Physics We study the problem of testing $k$-block-positivity via symmetric $N$-extendibility by taking the tensor product with a $k$-dimensional maximally entangled state. We exploit the unitary symmetry of the maximally entangled state to reduce the size of the corresponding semidefinite programs (SDP). For example, for $k=2$, the SDP is reduced from one block of size $2^{N+1} d^{N+1}$ to $\lfloor \frac{N+1}{2} \rfloor$ blocks of size $\approx O( (N-1)^{-1} 2^{N+1} d^{N+1} )$. |
| title | Symmetry reduction for testing $k$-block-positivity via extendibility |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.22100 |