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Estimating the spectrum of a density matrix with LOCC

2005/06/30 by Manuel A. Ballester · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Medicine · Physics and Astronomy · #Optical Imaging and Spectroscopy Techniques #Spectroscopy Techniques in Biomedical and Chemical Research #Spectroscopy and Chemometric Analyses #quant-ph

paper · pdf · doi:10.1088/0305-4470/39/7/009

published as J. Phys. A: Math. Gen. 39 (2006) 1645-1656 · 12 pages, uses iopart.cls and iopart10.clo. Improved version. v3: Reference updated, added journal reference

arxiv created 2006/02/01 · openalex publication_date 2006/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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.

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