Phys. Rev. A 80, 022112 (2009) [6 pages]Partially unbiased entangled basesReceived 27 November 2008; revised 5 May 2009; published 17 August 2009 In this contribution we group the operator basis for d2-dimensional Hilbert space in a way that enables us to relate bases of entangled states with single-particle mutually unbiased state bases (MUB), each in dimensionality d. We utilize these sets of operators to show that an arbitrary density matrix for this d2-dimensional Hilbert-space system is analyzed via d2+d+1 measurements, d2−d of which involve those entangled states that we associate with MUB of the d-dimensional single-particle constituents. The number d2+d+1 lies in the middle of the number of measurements needed for bipartite state reconstruction with two-particle MUB (d2+1) and those needed by single-particle MUB [(d2+1)2]. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.022112
DOI:
10.1103/PhysRevA.80.022112
PACS:
03.65.Ta, 03.65.Ud, 03.67.Dd, 89.70.−a
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