3,970 research outputs found
Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels
The Mean King's problem with mutually unbiased bases is reconsidered for
arbitrary d-level systems. Hayashi, Horibe and Hashimoto [Phys. Rev. A 71,
052331 (2005)] related the problem to the existence of a maximal set of d-1
mutually orthogonal Latin squares, in their restricted setting that allows only
measurements of projection-valued measures. However, we then cannot find a
solution to the problem when e.g., d=6 or d=10. In contrast to their result, we
show that the King's problem always has a solution for arbitrary levels if we
also allow positive operator-valued measures. In constructing the solution, we
use orthogonal arrays in combinatorial design theory.Comment: REVTeX4, 4 page
Hadron Masses in Medium and Neutron Star Properties
We investigate the properties of the neutron star with relativistic mean
field models. We incorporate in the quantum hadrodynamics and in the
quark-meson coupling models a possible reduction of meson masses in nuclear
matter. The equation of state for neutron star matter is obtained and is
employed in Oppenheimer-Volkov equation to extract the maximum mass of the
stable neutron star. We find that the equation of state, the composition and
the properties of the neutron stars are sensitive to the values of the meson
masses in medium.Comment: 18 pages, 5 figures and 2 tables. To be published in EPJ
Bosonic t-J Model in a stacked triangular lattice and its phase diagram
In this paper, we study phase diagram of a system of two-component hard-core
bosons with nearest-neighbor (NN) pseudo-spin antiferromagnetic (AF)
interactions in a stacked triangular lattice. Hamiltonian of the system
contains three parameters one of which is the hopping amplitude between NN
sites, and the other two are the NN pseudo-spin exchange interaction and
the one that measures anisotropy of pseudo-spin interactions. We investigate
the system by means of the Monte-Carlo simulations and clarify the
low-temperature phase diagram. In particular, we are interested in how the
competing orders, i.e., AF order and superfluidity, are realized, and also
whether supersolid forms as a result of hole doping into the state of the
pseudo-spin pattern with the structure.Comment: 18 pages, 17 figures, Version to appear in J.Phys.Soc.Jp
Weak Values with Decoherence
The weak value of an observable is experimentally accessible by weak
measurements as theoretically analyzed by Aharonov et al. and recently
experimentally demonstrated. We introduce a weak operator associated with the
weak values and give a general framework of quantum operations to the W
operator in parallel with the Kraus representation of the completely positive
map for the density operator. The decoherence effect is also investigated in
terms of the weak measurement by a shift of a probe wave function of continuous
variable. As an application, we demonstrate how the geometric phase is affected
by the bit flip noise.Comment: 17 pages, 3 figure
Quantum noise in ideal operational amplifiers
We consider a model of quantum measurement built on an ideal operational
amplifier operating in the limit of infinite gain, infinite input impedance and
null output impedance and with a feddback loop. We evaluate the intensity and
voltage noises which have to be added to the classical amplification equations
in order to fulfill the requirements of quantum mechanics. We give a
description of this measurement device as a quantum network scattering quantum
fluctuations from input to output ports.Comment: 4 pages, 2 figures, RevTe
Fidelity trade-off for finite ensembles of identically prepared qubits
We calculate the trade-off between the quality of estimating the quantum
state of an ensemble of identically prepared qubits and the minimum level of
disturbance that has to be introduced by this procedure in quantum mechanics.
The trade-off is quantified using two mean fidelities: the operation fidelity
which characterizes the average resemblance of the final qubit state to the
initial one, and the estimation fidelity describing the quality of the obtained
estimate. We analyze properties of quantum operations saturating the
achievability bound for the operation fidelity versus the estimation fidelity,
which allows us to reduce substantially the complexity of the problem of
finding the trade-off curve. The reduced optimization problem has the form of
an eigenvalue problem for a set of tridiagonal matrices, and it can be easily
solved using standard numerical tools.Comment: 26 pages, REVTeX, 2 figures. Few minor corrections, accepted for
publication in Physical Review
Measurement schemes for the spin quadratures on an ensemble of atoms
We consider how to measure collective spin states of an atomic ensemble based
on the recent multi-pass approaches for quantum interface between light and
atoms. We find that a scheme with two passages of a light pulse through the
atomic ensemble is efficient to implement the homodyne tomography of the spin
state. Thereby, we propose to utilize optical pulses as a phase-shifter that
rotates the quadrature of the spins. This method substantially simplifies the
geometry of experimental schemes.Comment: 4pages 2 figure
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