Estimating the spectrum of a density matrix with LOCC

DOI10.1088/0305-4470/39/7/009zbMATH Open1095.81007arXivquant-ph/0506197OpenAlexW2040064162MaRDI QIDQ3379335

Manuel A. Ballester

Publication date: 6 April 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/quant-ph/0506197

zbMATH Keywords

density matrixcollective measurementsquantum Cramer-Rao boundestimating the spectrumLOCC measurements

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum measurement theory, state operations, state preparations (81P15)

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