Rank reduction for the local consistency problem

Publication Type:
Journal Article
Citation:
Journal of Mathematical Physics, 2012, 53 (2)
Issue Date:
2012-02-02
Full metadata record
Files in This Item:
Filename Description Size
1106.3235v2.pdfSubmitted Version106.65 kB
Adobe PDF
We address the problem of how simple a solution can be for a given quantum local consistency instance. More specifically, we investigate how small the rank of the global density operator can be if the local constraints are known to be compatible. We prove that any compatible local density operators can be satisfied by a low rank global density operator. Then we study both fermionic and bosonic versions of the N-representability problem as applications. After applying the channel-state duality, we prove that any compatible local channels can be obtained through a global quantum channel with small Kraus rank. © 2012 American Institute of Physics.
Please use this identifier to cite or link to this item: