4,536 research outputs found
Quantum Metrology via Repeated Quantum Nondemolition Measurements in "Photon Box"
In quantum metrology schemes, one generally needs to prepare copies of
entangled particles, such as entangled photon states, and then they are
detected in a destructive process to estimate an unknown parameter. Here, we
present a novel experimental scheme for estimating this parameter by using
repeated indirect quantum nondemolition measurements in the setup called
"photon box". This interaction-based scheme is able to achieve the phase
sensitivity scaling as with a Fock state of photons. Moreover, we
only need to prepare one initial -photon state and it can be used
repetitively for trials of measurements. This new scheme is shown to
sustain the quantum advantage for a much longer time than the damping time of
Fock state and be more robust than the common strategy with exotic entangled
states. To overcome the periodic error in the estimation of the true
parameter, we can employ a cascaded strategy by adding a real-time feedback
interferometric layout.Comment: 5 pages, 3 figure
Quantum-enhanced metrology for multiple phase estimation with noise
We present a general framework to study the simultaneous estimation of
multiple phases in the presence of noise as a discretized model for phase
imaging. This approach can lead to nontrivial bounds of the precision for
multiphase estimation. Our results show that simultaneous estimation (SE) of
multiple phases is always better than individual estimation (IE) of each phase
even in noisy environment. However with being the number of phases, the
advantage in the variance of the estimation, with which SE outperforms
IE schemes for noiseless processes, may disappear asymptotically. When noise is
low, those bounds recover the Heisenberg scale with the advantage. The
utility of the bound of multiple phase estimation for photon loss channels is
exemplified.Comment: 9 pages, 2 figure
Role of initial system-bath correlation on coherence trapping
We study the coherence trapping of a qubit correlated initially with a
non-Markovian bath in a pure dephasing channel. By considering the initial
qubit-bath correlation and the bath spectral density, we find that the initial
qubit-bath correlation can lead to a more efficient coherence trapping than
that of the initially separable qubit-bath state. The stationary coherence in
the long time limit can be maximized by optimizing the parameters of the
initially correlated qubit-bath state and the bath spectral density. In
addition, the effects of this initial correlation on the maximal evolution
speed for the qubit trapped to its stationary coherence state are also
explored.Comment: 5 pages,3 figures, welcome to commen
Bosonization of vertex operators for Zn symmetric Belavin model and its correlation functions
Based on the bosonization of vertex operators for face model
by Asai,Jimbo, Miwa and Pugai, using vertex-face correspondence we obtain
vertex operators for Zn symmetric Belavin model,which are constructed by
deformed boson oscilllators. The correlation functions are also obtained.Comment: 13 pages, Latex fil
The elliptic quantum algebra and its bosonization at level one
We extend the work of Foda et al and propose an elliptic quantum algebra
. Similar to the case of , our
presentation of the algebra is based on the relation , where and
are symmetric R-matrices with the elliptic moduli chosen
differently and a factor is also involved. With the help of the results
obtained by Asai et al, we realize type I and type II vertex operators in terms
of bosonic free fields for symmetric Belavin model. We also give a
bosonization for the elliptic quantum algebra at level
one.Comment: 17 pages, Latex file 43
Algebraic Bethe ansatz for eight vertex model with general open-boundary conditions
By using the intertwiner and face-vertex correpondence relation, we obtain
the Bethe ansatz equation of eight vertex model with open boundary condtitions
in the framework of algebraic Bethe ansatz method. The open boundary condition
under consideration is the general solution of the reflection equation for
eight vertex model with only one restriction on the free parameters of the
right side reflecting boundary matrix. The reflecting boundary matrices used in
this paper thus may have off-diagonal elements. Our construction can also be
used for the Bethe ansatz of SOS model with reflection boundaries.Comment: Latex document, several figures, 85K
Demonstration of Entanglement-Enhanced Phase Estimation in Solid
Precise parameter estimation plays a central role in science and technology.
The statistical error in estimation can be decreased by repeating measurement,
leading to that the resultant uncertainty of the estimated parameter is
proportional to the square root of the number of repetitions in accordance with
the central limit theorem. Quantum parameter estimation, an emerging field of
quantum technology, aims to use quantum resources to yield higher statistical
precision than classical approaches. Here, we report the first room-temperature
implementation of entanglement-enhanced phase estimation in a solid-state
system: the nitrogen-vacancy centre in pure diamond. We demonstrate a
super-resolving phase measurement with two entangled qubits of different
physical realizations: an nitrogen-vacancy centre electron spin and a proximal
C nuclear spin. The experimental data shows clearly the uncertainty
reduction when entanglement resource is used, confirming the theoretical
expectation. Our results represent an elemental demonstration of enhancement of
quantum metrology against classical procedure.Comment: 9 pages including the supplementary material, 6 figures in main text
plus 3 figures in supplementary materia
Experimental testing of entropic uncertainty relations with multiple measurements in pure diamond
One unique feature of quantum mechanics is the Heisenberg uncertainty
principle, which states that the outcomes of two incompatible measurements
cannot simultaneously achieve arbitrary precision. In an information-theoretic
context of quantum information, the uncertainty principle can be formulated as
entropic uncertainty relations with two measurements for a quantum bit (qubit)
in two-dimensional system. New entropic uncertainty relations are studied for a
higher-dimensional quantum state with multiple measurements, the uncertainty
bounds can be tighter than that expected from two measurements settings and
cannot result from qubits system with or without a quantum memory. Here we
report the first room-temperature experimental testing of the entropic
uncertainty relations with three measurements in a natural three-dimensional
solid-state system: the nitrogen-vacancy center in pure diamond. The
experimental results confirm the entropic uncertainty relations for multiple
measurements. Our result represents a more precise demonstrating of the
fundamental uncertainty principle of quantum mechanics.Comment: 8 pages, 5 figures, 2 table
A one-dimensional many-body integrable model from Belavin model with open boundary conditions
We use factorized operator to construct an integrable model with open
boundary conditions. By taking trigonometic limit()
and scaling limit(), we get a Hamiltonian of a classical
integrable system. It shows that this integrable system is similar to those
found by Calogero et al.Comment: Latex file, 17 page
Elliptic Ruijsenaars-Schneider and Calogero-Moser Models Represented by Sklyanin Algebra and sl(n) Gaudin Algebra
The relationship between Elliptic Ruijsenaars-Schneider (RS) and
Calogero-Moser (CM) models with Sklyanin algebra is presented. Lax pair
representations of the Elliptic RS and CM are reviewed. For n=2 case, the
eigenvalue and eigenfunction for Lame equation are found by using the result of
the Bethe ansatz method.Comment: 20 pages, no figures. This article is posted for archival purpose.
Proceeding of International Conference on "Gauge Theory and Integrable
Models" held in Kyoto University, Japan (Feb.1999
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