1,075 research outputs found
Spin-relaxation anisotropy in a nanowire quantum dot with strong spin-orbit coupling
We study the impacts of the magnetic field direction on the spin-manipulation
and the spin-relaxation in a one-dimensional quantum dot with strong spin-orbit
coupling. The energy spectrum and the corresponding eigenfunctions in the
quantum dot are obtained exactly. We find that no matter how large the
spin-orbit coupling is, the electric-dipole spin transition rate as a function
of the magnetic field direction always has a periodicity. However, the
phonon-induced spin relaxation rate as a function of the magnetic field
direction has a periodicity only in the weak spin-orbit coupling regime,
and the periodicity is prolonged to in the strong spin-orbit coupling
regime.Comment: 8 pages, 4 figure
Collective unitary evolution with linear optics by Cartan decomposition
Unitary operation is an essential step for quantum information processing. We
first propose an iterative procedure for decomposing a general unitary
operation without resorting to controlled-NOT gate and single-qubit rotation
library. Based on the results of decomposition, we design two compact
architectures to deterministically implement arbitrary two-qubit
polarization-spatial and spatial-polarization collective unitary operations,
respectively. The involved linear optical elements are reduced from 25 to 20
and 21 to 20, respectively. Moreover, the parameterized quantum computation can
be flexibly manipulated by wave plates and phase shifters. As an application,
we construct the specific quantum circuits to realize two-dimensional quantum
walk and quantum Fourier transformation. Our schemes are simple and feasible
with the current technology.Comment: 9 figure
Research on Rough Set Model Based on Golden Ratio
AbstractHow to make decision with pre-defined preference-ordered criteria also depends on the environment of the problem. Dominance rough set model is suitable for preference analysis and probabilistic rough set introduces probabilistic approaches to rough sets. In this paper, new dominance rough set rough set models are given by taking golden ratio into account. Also, we present steps to make decision using new dominance rough set models
Optimal synthesis of general multi-qutrit quantum computation
Quantum circuits of a general quantum gate acting on multiple -level
quantum systems play a prominent role in multi-valued quantum computation. We
first propose a new recursive Cartan decomposition of semi-simple unitary Lie
group (arbitrary -qutrit gate). Note that the decomposition
completely decomposes an n-qutrit gate into local and non-local operations. We
design an explicit quantum circuit for implementing arbitrary two-qutrit gates,
and the cost of our construction is 21 generalized controlled X (GCX) and
controlled increment (CINC) gates less than the earlier best result of 26 GGXs.
Moreover, we extend the program to the -qutrit system, and the quantum
circuit of generic -qutrit gates contained
GGXs and CINCs is presented. Such asymptotically optimal structure is the best
known result so far.Comment: 16 pages, 14 figure
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