25,679 research outputs found
Intrinsic coherence in assisted sub-state discrimination
We study intrinsic coherence in the tripartite process to unambiguously
discriminate two nonorthogonal states of a qubit, entangled with another one,
and assisted by an auxiliary system. The optimal success probability is found
to be benefited by initial intrinsic coherence, but no extra one is required.
The transformations among different contributions of intrinsic coherence are
necessary in this procedure, which increase with the overlap between the states
to recognize. Such state discrimination is a key step of the probabilistic
teleportation protocol. Entanglement of the quantum channel decreases the
coherence characterizing the reliance on an ancilla.Comment: 6 pages with 4 figure
Dynamical symmetries of the Klein-Gordon equation
The dynamical symmetries of the two-dimensional Klein-Gordon equations with
equal scalar and vector potentials (ESVP) are studied. The dynamical symmetries
are considered in the plane and the sphere respectively. The generators of the
SO(3) group corresponding to the Coulomb potential, and the SU(2) group
corresponding to the harmonic oscillator potential are derived. Moreover, the
generators in the sphere construct the Higgs algebra. With the help of the
Casimir operators, the energy levels of the Klein-Gordon systems are yielded
naturally.Comment: 4
A New Distributed Localization Method for Sensor Networks
This paper studies the problem of determining the sensor locations in a large
sensor network using relative distance (range) measurements only. Our work
follows from a seminal paper by Khan et al. [1] where a distributed algorithm,
known as DILOC, for sensor localization is given using the barycentric
coordinate. A main limitation of the DILOC algorithm is that all sensor nodes
must be inside the convex hull of the anchor nodes. In this paper, we consider
a general sensor network without the convex hull assumption, which incurs
challenges in determining the sign pattern of the barycentric coordinate. A
criterion is developed to address this issue based on available distance
measurements. Also, a new distributed algorithm is proposed to guarantee the
asymptotic localization of all localizable sensor nodes
Assisted optimal state discrimination without entanglement
A fundamental problem in quantum information is to explore the roles of
different quantum correlations in a quantum information procedure. Recent work
[Phys. Rev. Lett., 107 (2011) 080401] shows that the protocol for assisted
optimal state discrimination (AOSD) may be implemented successfully without
entanglement, but with another correlation, quantum dissonance. However, both
the original work and the extension to discrimination of states [Phys. Rev.
A, 85 (2012) 022328] have only proved that entanglement can be absent in the
case with equal a \emph{priori} probabilities. By improving the protocol in
[Sci. Rep., 3 (2013) 2134], we investigate this topic in a simple case to
discriminate three nonorthogonal states of a qutrit, with positive real
overlaps. In our procedure, the entanglement between the qutrit and an
auxiliary qubit is found to be completely unnecessary. This result shows that
the quantum dissonance may play as a key role in optimal state discrimination
assisted by a qubit for more general cases.Comment: 6 pages, 3 figures. Accepted by EPL. We extended the protocol for
assisted optimal state discrimination to the case with positive real
overlaps, and presented a proof for the absence of entanglemen
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