6,266 research outputs found
An Economic Analysis of Modern Rice Production Technology and its Adoption Behaviour in Tamil Nadu
Rice is the staple food in Tamil Nadu and is grown in an area of 2.6 Mha with a production of 8.19 Mt and productivity of 3.2 t/ha. In the context of high water demand by rice farmers, any strategy that would produce higher rice yield with less water is the need of the day. One such system is “System of Rice Intensification†(SRI), which was developed by Fr. Henri de Laulanie in Madagascar in 1980. The general objective of the study is to find the economics and the farmer’s adoption behaviour of the system of rice intensification. The study has revealed that the per hectare cost of cultivation is about 10 per cent lower in SRI than the conventional method. The logit framework has indicated that age, farm size, income of the farm, number of earners in the family and number of contacts with extension agencies are positive and highly influence the adoption behaviour of the farmers. Lack of skilled labour, awareness, training on new technology and experience have been opined as the main problems in adoption of this technology by the farmers. To sum-up, farmers have been vastly benefited by SRI technology and it has helped them in their socio-economic upliftment. The adoption of SRI technique has helped increase the rice production without increasing the area under its cultivation and has proved to serve as an alternative method for rice cultivation.Agricultural and Food Policy,
From quantum stochastic differential equations to Gisin-Percival state diffusion
Starting from the quantum stochastic differential equations of Hudson and
Parthasarathy (Comm. Math. Phys. 93, 301 (1984)) and exploiting the
Wiener-Ito-Segal isomorphism between the Boson Fock reservoir space
and
the Hilbert space , where is the Wiener probability measure of
a complex -dimensional vector-valued standard Brownian motion
, we derive a non-linear stochastic Schrodinger
equation describing a classical diffusion of states of a quantum system, driven
by the Brownian motion . Changing this Brownian motion by an
appropriate Girsanov transformation, we arrive at the Gisin-Percival state
diffusion equation (J. Phys. A, 167, 315 (1992)). This approach also yields an
explicit solution of the Gisin-Percival equation, in terms of the
Hudson-Parthasarathy unitary process and a radomized Weyl displacement process.
Irreversible dynamics of system density operators described by the well-known
Gorini-Kossakowski-Sudarshan-Lindblad master equation is unraveled by
coarse-graining over the Gisin-Percival quantum state trajectories.Comment: 28 pages, one pdf figure. An error in the multiplying factor in Eq.
(102) corrected. To appear in Journal of Mathematical Physic
Separability bounds on multiqubit moments due to positivity under partial transpose
Positivity of the density operator reflects itself in terms of sequences of
inequalities on observable moments. Uncertainty relations for non-commuting
observables form a subset of these inequalities. In addition, criterion of
positivity under partial transposition (PPT) imposes distinct bounds on
moments, violations of which signal entanglement. We present bounds on some
novel sets of composite moments, consequent to positive partial transposition
of the density operator and report their violation by entangled multiqubit
states. In particular, we derive separability bounds on a multiqubit moment
matrix (based on PPT constraints on bipartite divisions of the density matrix)
and show that three qubit pure states with non-zero tangle violate these PPT
moment constraints. Further, we recover necessary and sufficient condition of
separability in a multiqubit Werner state through PPT bounds on moments.Comment: 16 pages, no figures, minor revisions, references added; To appear in
Phys. Rev.
Quantumness of correlations and entanglement
Generalized measurement schemes on one part of bipartite states, which would
leave the set of all separable states insensitive are explored here to
understand quantumness of correlations in a more general perspecitve. This is
done by employing linear maps associated with generalized projective
measurements. A generalized measurement corresponds to a quantum operation
mapping a density matrix to another density matrix, preserving its positivity,
hermiticity and traceclass. The Positive Operator Valued Measure (POVM) --
employed earlier in the literature to optimize the measures of
classical/quatnum correlations -- correspond to completely positive (CP) maps.
The other class, the not completely positive (NCP) maps, are investigated here,
in the context of measurements, for the first time. It is shown that that such
NCP projective maps provide a new clue to the understanding the quantumness of
correlations in a general setting. Especially, the separability-classicality
dichotomy gets resolved only when both the classes of projective maps (CP and
NCP) are incorporated as optimizing measurements. An explicit example of a
separable state -- exhibiting non-zero quantumn discord when possible
optimizing measurements are restricted to POVMs -- is re-examined with this
extended scheme incorporating NCP projective maps to elucidate the power of
this approach.Comment: 14 pages, no figures, revision version, Accepted for publication in
the Special Issue of the International Journal of Quantum Information devoted
to "Quantum Correlations: entanglement and beyond
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