Details
| Original language | English |
|---|---|
| Pages (from-to) | 052311 |
| Number of pages | 1 |
| Journal | Phys. Rev. A |
| Volume | 64 |
| Issue number | 5 |
| Publication status | Published - 2001 |
Abstract
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In: Phys. Rev. A, Vol. 64, No. 5, 2001, p. 052311.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Estimating the spectrum of a density operator
AU - Keyl, M.
AU - Werner, R. F.
PY - 2001
Y1 - 2001
N2 - Given N quantum systems prepared according to the same density operator rho. we propose a measurement on the N-fold system that approximately yields the spectrum of rho. The projections of the proposed observable decompose the Hilbert space according to the irreducible representations of the permutations on N points. and are labeled by Young frames, whose relative row lengths estimate the eigenvalues of rho in decreasing order. We show convergence of these estimates in the limit N and that the probability for errors decreases exponentially with a rate we compute explicitly.
AB - Given N quantum systems prepared according to the same density operator rho. we propose a measurement on the N-fold system that approximately yields the spectrum of rho. The projections of the proposed observable decompose the Hilbert space according to the irreducible representations of the permutations on N points. and are labeled by Young frames, whose relative row lengths estimate the eigenvalues of rho in decreasing order. We show convergence of these estimates in the limit N and that the probability for errors decreases exponentially with a rate we compute explicitly.
U2 - 10.1103/PhysRevA.64.052311
DO - 10.1103/PhysRevA.64.052311
M3 - Article
VL - 64
SP - 052311
JO - Phys. Rev. A
JF - Phys. Rev. A
SN - 2469-9934
IS - 5
ER -