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Optimal non-invasive measurement of Full Counting Statistics by a single qubit | | A.V. Lebedev
; G.B. Lesovik
; G. Blatter
; | | Date: |
12 Mar 2016 | | Abstract: | The complete characterisation of the charge transport in a mesoscopic device
is provided by the Full Counting Statistics (FCS) $P_t(m)$, describing the
amount of charge $Q = me$ transmitted during the time $t$. Although numerous
systems have been theoretically characterized by their FCS, the experimental
measurement of the distribution function $P_t(m)$ or its moments $langle Q^n
angle$ are rare and often plagued by strong back-action. Here, we present a
strategy for the measurement of the FCS, more specifically its characteristic
function $chi(lambda)$ and moments $langle Q^n
angle$, by a qubit with a
set of different couplings $lambda_j$, $j = 1,dots,k,dots k+p$, $k = lceil
n/2
ceil$, $p geq 0$, to the mesoscopic conductor. The scheme involves
multiple readings of Ramsey sequences at the different coupling strengths
$lambda_j$ and we find the optimal distribution for these couplings
$lambda_j$ as well as the optimal distribution $N_j$ of $N = sum N_j$
measurements among the different couplings $lambda_j$. We determine the
precision scaling for the moments $langle Q^n
angle$ with the number $N$ of
invested resources and show that the standard quantum limit can be approached
when many additional couplings $pgg 1$ are included in the measurement scheme. | | Source: | arXiv, 1603.3896 | | Services: | Forum | Review | PDF | Favorites | |
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