30,189 research outputs found
Comment on "High Field Studies of Superconducting Fluctuations in High-Tc Cuprates. Evidence for a Small Gap distinct from the Large Pseudogap"
By using high magnetic field data to estimate the background conductivity,
Rullier-Albenque and coworkers have recently published [Phys.Rev.B 84, 014522
(2011)] experimental evidence that the in-plane paraconductivity in cuprates is
almost independent of doping. In this Comment we also show that, in contrast
with their claims, these useful data may be explained at a quantitative level
in terms of the Gaussian-Ginzburg-Landau approach for layered superconductors,
extended by Carballeira and coworkers to high reduced-temperatures by
introducing a total-energy cutoff [Phys.Rev.B 63, 144515 (2001)]. When
combined, these two conclusions further suggest that the paraconductivity in
cuprates is conventional, i.e., associated with fluctuating superconducting
pairs above the mean-field critical temperature.Comment: 9 pages, 1 figur
A universal quantum circuit for two-qubit transformations with three CNOT gates
We consider the implementation of two-qubit unitary transformations by means
of CNOT gates and single-qubit unitary gates. We show, by means of an explicit
quantum circuit, that together with local gates three CNOT gates are necessary
and sufficient in order to implement an arbitrary unitary transformation of two
qubits. We also identify the subset of two-qubit gates that can be performed
with only two CNOT gates.Comment: 3 pages, 7 figures. One theorem, one author and references added.
Change of notational conventions. Minor correction in Theorem
Anomalous precursor diamagnetism at low reduced magnetic fields and the role of Tc inhomogeneities in the superconductors Pb55In45 and underdoped La1.9Sr0.1CuO4
The magnetic field dependence of the magnetization was measured above the
superconducting transition in a high-Tc underdoped cuprate La1.9Sr0.1CuO4 and
in a low-Tc alloy (Pb55In45). Near the superconducting transition [typically
for (T-Tc)/Tc<0.05] and under low applied magnetic field amplitudes [typically
for H/Hc2(0)<0.01, where Hc2(0) is the corresponding upper critical field
extrapolated to T=0 K] the magnetization of both samples presents a diamagnetic
contribution much larger than the one predicted by the Gaussian Ginzburg-Landau
(GGL) approach for superconducting fluctuations. These anomalies have been
already observed in cuprate compounds by various groups and attributed to
intrinsic effects associated with the own nature of these high-Tc
superconductors. However, we will see here that our results in both high and
low-Tc superconductors may be explained quantitatively, and consistently with
the GGL behavior observed at higher fields, by just taking into account the
presence in the samples of an uniform distribution of Tc inhomogeneities. These
Tc inhomogeneities, which may be in turn associated with stoichiometric
inhomogeneities, were estimated from independent measurements of the
temperature dependence of the field-cooled magnetic susceptibility under low
applied magnetic fields.Comment: 25 pages, including 6 figures and 1 table. Typos corrected. Compacte
Constructing N-qubit entanglement monotones from anti-linear operators
We present a method to construct entanglement measures for pure states of
multipartite qubit systems. The key element of our approach is an antilinear
operator that we call {\em comb} in reference to the {\em hairy-ball theorem}.
For qubits (or spin 1/2) the combs are automatically invariant under
SL(2,\CC). This implies that the {\em filters} obtained from the combs are
entanglement monotones by construction. We give alternative formulae for the
concurrence and the 3-tangle as expectation values of certain antilinear
operators. As an application we discuss inequivalent types of genuine
four-qubit entanglement.Comment: 5 pages, revtex4; more detailed illustration of the metho
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