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Improving the estimation of environment parameters via a two-qubit scheme
We demonstrate how using two qubits can drastically improve the estimation of environment parameters compared to using only a single qubit. The two qubits are coupled to a common harmonic oscillator environment, and the properties of the environment are imprinted upon the dynamics of the two qubits. The reduced density matrix of only one of these qubits contains a decoherence factor and an additional factor taking into account the indirect interaction induced between the qubits due to the interaction with their common environment. This additional factor can drastically improve the estimation of the environment parameters, as quantified by the quantum Fisher information. In particular, we investigate the estimation of the cutoff frequency, the coupling strength, and the temperature using our two-qubit scheme compared to simply using a single qubit. We find that the precision of the estimates can be improved by orders of magnitude.
Journal Article
Coefficients Estimates of Bi-Univalent Functions Defined by New Subclass Function
In this paper, we introduce and investigate some new subclasses Sγn,q(λ,m,ϕ) and Wxk,α(λ,δ,ϕ) of bi-univalent functions in the unit disk U, which satisfies the qusi-subordination condition. We obtain estimates the first two Taylor-Maclarurin coefficients |a2| and |a3|.
Journal Article
Perturbations of positive semigroups on L_p-spaces
(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) We give a characterization of a variation of constants type estimate relating two positive semigroups on (possibly different) ...-spaces to one another in terms of corresponding estimates for the respective generators and of estimates for the respective resolvents. The results have applications to kernel estimates for semigroups induced by accretive and non-local forms on ...-finite measure spaces.
Journal Article
Risk pricing strategies for public-private partnership projects
\"This book sets out the key principle strategies involved in risk pricing of PPP projects in a clear and accessible way and provides the reader with fundamental principles of risk pricing theories and enveloping processes\"-- Provided by publisher.
Book
W super(2,1) regularity for solutions of the Monge-Ampere equation
In this paper we prove that a strictly convex Alexandrov solution u of the Monge-Ampere equation, with right-hand side bounded away from zero and infinity, is $W2,1}_{\\mathrm{loc}}$. This is obtained by showing higher integrability a priori estimates for D super(2) u, namely D super(2) uLlog super( )kL for any k.
Journal Article
On the Unconditional Uniqueness for NLS in $\\dot{H}^s
In this article, we study the unconditional uniqueness of $\\dot H^s$, $0
Journal Article