1,744 research outputs found
Experimental investigation of the radiation of sound from an unflanged duct and a bellmouth, including the flow effect
The radiation of sound from an inlet as a function of flow velocity, frequency, duct mode structure, and inlet geometry was examined by using a spinning mode synthesizer to insure a given space-time structure inside the duct. Measurements of the radiation pattern (amplitude and phase) and of the pressure reflection coefficient were obtained over an azimuthal wave number range of 0 to 6 and a frequency range up to 5000 Hz for an unflanged duct and a bellmouth. The measured radiated field and pressure reflection coefficient without flow for the unflanged duct agree reasonably well with theory. The influence of the inlet contour appears to be very drastic near the cut-on frequency of a mode and reasonable agreement is found between the bellmouth pressure reflection coefficient and a infinite hyperboloidal inlet theory. It is also shown that the flow has a weak effect on the amplitude of the directivity factor but significantly shifts the directivity factor phase. The influence of the flow on the modulus of the pressure reflection coefficient is found to be well described by a theoretical prediction
Quantum Circuits for General Multiqubit Gates
We consider a generic elementary gate sequence which is needed to implement a
general quantum gate acting on n qubits -- a unitary transformation with 4^n
degrees of freedom. For synthesizing the gate sequence, a method based on the
so-called cosine-sine matrix decomposition is presented. The result is optimal
in the number of elementary one-qubit gates, 4^n, and scales more favorably
than the previously reported decompositions requiring 4^n-2^n+1 controlled NOT
gates.Comment: 4 pages, 3 figure
Exchange-correlation potentials for inhomogeneous electron systems in two dimensions from exact diagonalization: comparison with the local-spin-density approximation
We consider electronic exchange and correlation effects in density-functional
calculations of two-dimensional systems. Starting from wave function
calculations of total energies and electron densities of inhomogeneous model
systems, we derive corresponding exchange-correlation potentials and energies.
We compare these with predictions of the local-spin-density approximation and
discuss its accuracy. Our data will be useful as reference data in testing,
comparing and parametrizing exchange and correlation functionals for
two-dimensional electronic systems.Comment: Submitted to Physical Review B on January 3, 2012. Second revised
version submitted on April 13, 201
Quantum circuits with uniformly controlled one-qubit gates
Uniformly controlled one-qubit gates are quantum gates which can be
represented as direct sums of two-dimensional unitary operators acting on a
single qubit. We present a quantum gate array which implements any n-qubit gate
of this type using at most 2^{n-1} - 1 controlled-NOT gates, 2^{n-1} one-qubit
gates and a single diagonal n-qubit gate. The circuit is based on the so-called
quantum multiplexor, for which we provide a modified construction. We
illustrate the versatility of these gates by applying them to the decomposition
of a general n-qubit gate and a local state preparation procedure. Moreover, we
study their implementation using only nearest-neighbor gates. We give upper
bounds for the one-qubit and controlled-NOT gate counts for all the
aforementioned applications. In all four cases, the proposed circuit topologies
either improve on or achieve the previously reported upper bounds for the gate
counts. Thus, they provide the most efficient method for general gate
decompositions currently known.Comment: 8 pages, 10 figures. v2 has simpler notation and sharpens some
result
Diagnosing Topological Edge States via Entanglement Monogamy
Topological phases of matter possess intricate correlation patterns typically
probed by entanglement entropies or entanglement spectra. In this Letter, we
propose an alternative approach to assessing topologically induced edge states
in free and interacting fermionic systems. We do so by focussing on the
fermionic covariance matrix. This matrix is often tractable either
analytically or numerically, and it precisely captures the relevant
correlations of the system. By invoking the concept of monogamy of
entanglement, we show that highly entangled states supported across a system
bipartition are largely disentangled from the rest of the system, thus,
usually appearing as gapless edge states. We then define an entanglement
qualifier that identifies the presence of topological edge states based purely
on correlations present in the ground states. We demonstrate the versatility
of this qualifier by applying it to various free and interacting fermionic
topological systems
Tomograms and other transforms. A unified view
A general framework is presented which unifies the treatment of wavelet-like,
quasidistribution, and tomographic transforms. Explicit formulas relating the
three types of transforms are obtained. The case of transforms associated to
the symplectic and affine groups is treated in some detail. Special emphasis is
given to the properties of the scale-time and scale-frequency tomograms.
Tomograms are interpreted as a tool to sample the signal space by a family of
curves or as the matrix element of a projector.Comment: 19 pages latex, submitted to J. Phys. A: Math and Ge
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