23 research outputs found
Uncertainty relation based on Wigner-Yanase-Dyson skew information with quantum memory
We present uncertainty relations based on Wigner--Yanase--Dyson skew
information with quantum memory. Uncertainty inequalities both in product and
summation forms are derived. \mbox{It is} shown that the lower bounds contain
two terms: one characterizes the degree of compatibility of two measurements,
and the other is the quantum correlation between the measured system and the
quantum memory. Detailed examples are given for product, separable and
entangled states.Comment: 9 pages, 6 figure
Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
Uncertainty relation is a core issue in quantum mechanics and quantum
information theory. We introduce modified generalized Wigner-Yanase-Dyson
(MGWYD) skew information and modified weighted generalizedWigner-Yanase-Dyson
(MWGWYD) skew information, and establish new uncertainty relations in terms of
the MGWYD skew information and MWGWYD skew information.Comment: 16 page
Coherence and complementarity based on modified generalized skew information
We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew
information and modified weighted generalized Wigner-Yanase-Dyson (MWGWYD) skew
information. By revisiting state-channel interaction based on MGWYD skew
information, a family of coherence measures with respect to quantum channels is
proposed. Furthermore, explicit analytical expressions of these coherence
measures of qubit states are derived with respect to different quantum
channels. Moreover, complementarity relations based on MGWYD skew information
and MWGWYD skew information are also presented. Specifically, the conservation
relations are investigated, while two interpretations of them including
symmetry-asymmetry complementarity and wave-particle duality have been
proposed.Comment: 20page
Tighter sum uncertainty relations via metric-adjusted skew information
In this paper, we first provide three general norm inequalities, which are
used to give new uncertainty relations of any finite observables and quantum
channels via metric-adjusted skew information. The results are applicable to
its special cases as Wigner-Yanase-Dyson skew information. In quantifying the
uncertainty of channels, we discuss two types of lower bounds and compare the
tightness between them, meanwhile, a tight lower bound is given. The
uncertainty relations obtained by us are stronger than the existing ones. To
illustrate our results, we give several specific examples.Comment: 17 pages, 4 figure
A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels
In statistical estimation theory, it has been shown previously that the
Wigner-Yanase skew information is bounded by the quantum Fisher information
associated with the phase parameter. Besides, the quantum Cram\'er-Rao
inequality is expressed in terms of skew information. Since these two
fundamental quantities are based on the concept of quantum uncertainty, we
derive here their analytical formulas for arbitrary two-qubit -states using
the same analytical procedures. A comparison of these two informational
quantifiers for two quasi-Werner states composed of two bipartite superposed
coherent states is examined. Moreover, we investigated the decoherence effects
on such quantities generated by the phase damping, depolarization and amplitude
damping channels. We showed that decoherence strongly influences the initial
quantum criteria and these quantities exhibit similar dynamic behaviors. This
current work is characterized by the fact that these two concepts play the same
role and capture similar properties in quantum estimation protocols
Entanglement and its operational measure
An operational representation of concurrence measuring the entanglement of bipartite systems by means of averages of basic observables is discussed. We prove the validity of this representation for bipartite systems with any dimension of a single-party Hilbert space. We show that Wigner-Yanase "skew" information gives a reasonable estimation of the amount of entanglement (in ebits) carried by mixed two-qubit states. ©2006 Springer Science+Business Media, Inc
Non-Abelian Quantum Transport and Thermosqueezing Effects
Modern quantum experiments provide examples of transport with non-commuting
quantities, offering a tool to understand the interplay between thermal and
quantum effects. Here we set forth a theory for non-Abelian transport in the
linear response regime. We show how transport coefficients obey Onsager
reciprocity and identify non-commutativity-induced reductions in the entropy
production. As an example, we study heat and squeezing fluxes in bosonic
systems, characterizing a set of thermosqueezing coefficients with potential
applications in metrology and heat-to-work conversion in the quantum regime.Comment: 7+7 pages, 2 figure