Estimating the spectrum of a density matrix with LOCC
arXiv:quant-ph/0506197 · doi:10.1088/0305-4470/39/7/009
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.
12 pages, uses iopart.cls and iopart10.clo. Improved version. v3: Reference updated, added journal reference
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