English

Estimating the spectrum of a density matrix with LOCC

Quantum Physics 2007-05-23 v3

Abstract

The problem of estimating the spectrum of a density matrix is considered. Other problems, such as bipartite pure state entanglement, can be reduced to spectrum estimation. A local operations and classical communication (LOCC) measurement strategy is shown which is asymptotically optimal. This means that, for a very large number of copies, it becomes unnecessary to perform collective measurements which should be more difficult to implement in practice.

Keywords

Cite

@article{arxiv.quant-ph/0506197,
  title  = {Estimating the spectrum of a density matrix with LOCC},
  author = {Manuel A. Ballester},
  journal= {arXiv preprint arXiv:quant-ph/0506197},
  year   = {2007}
}

Comments

12 pages, uses iopart.cls and iopart10.clo. Improved version. v3: Reference updated, added journal reference

R2 v1 2026-07-22T19:49:35.118Z