81 research outputs found
General linear-optical quantum state generation scheme: Applications to maximally path-entangled states
We introduce schemes for linear-optical quantum state generation. A quantum
state generator is a device that prepares a desired quantum state using product
inputs from photon sources, linear-optical networks, and postselection using
photon counters. We show that this device can be concisely described in terms
of polynomial equations and unitary constraints. We illustrate the power of
this language by applying the Grobner-basis technique along with the notion of
vacuum extensions to solve the problem of how to construct a quantum state
generator analytically for any desired state, and use methods of convex
optimization to identify bounds to success probabilities. In particular, we
disprove a conjecture concerning the preparation of the maximally
path-entangled |n,0)+|0,n) (NOON) state by providing a counterexample using
these methods, and we derive a new upper bound on the resources required for
NOON-state generation.Comment: 5 pages, 2 figure
Generic Two-Qubit Photonic Gates Implemented by Number-Resolving Photodetection
We combine numerical optimization techniques [Uskov et al., Phys. Rev. A 79,
042326 (2009)] with symmetries of the Weyl chamber to obtain optimal
implementations of generic linear-optical KLM-type two-qubit entangling gates.
We find that while any two-qubit controlled-U gate, including CNOT and CS, can
be implemented using only two ancilla resources with success probability S >
0.05, a generic SU(4) operation requires three unentangled ancilla photons,
with success S > 0.0063. Specifically, we obtain a maximal success probability
close to 0.0072 for the B gate. We show that single-shot implementation of a
generic SU(4) gate offers more than an order of magnitude increase in the
success probability and two-fold reduction in overhead ancilla resources
compared to standard triple-CNOT and double-B gate decompositions.Comment: 5 pages, 3 figure
Four-level and two-qubit systems, sub-algebras, and unitary integration
Four-level systems in quantum optics, and for representing two qubits in
quantum computing, are difficult to solve for general time-dependent
Hamiltonians. A systematic procedure is presented which combines analytical
handling of the algebraic operator aspects with simple solutions of classical,
first-order differential equations. In particular, by exploiting and sub-algebras of the full SU(4)
dynamical group of the system, the non-trivial part of the final calculation is
reduced to a single Riccati (first order, quadratically nonlinear) equation,
itself simply solved. Examples are provided of two-qubit problems from the
recent literature, including implementation of two-qubit gates with Josephson
junctions.Comment: 1 gzip file with 1 tex and 9 eps figure files. Unpack with command:
gunzip RSU05.tar.g
Optimal Fusion Transformations for Linear Optical Cluster State Generation
We analyze the generation of linear optical cluster states (LOCS) via
addition of one and two qubits. Existing approaches employ the stochastic
linear optical two-qubit CZ gate with success rate of 1/9 per fusion operation.
The question of optimality of the CZ gate with respect to LOCS generation
remains open. We report that there are alternative schemes to the CZ gate that
are exponentially more efficient and show that sequential LOCS growth is
globally optimal. We find that the optimal cluster growth operation is a state
transformation on a subspace of the full Hilbert space. We show that the
maximal success rate of fusing n photonic qubits or m Bell pairs is 1/2^n-1 and
1/4^m-1 respectively and give an explicit optical design
Carrier-induced refractive index in quantum dot structures due to transitions from discrete quantum dot levels to continuum states
The carrier-induced refractive index in quantum dot (QD) structures due to optical transitions from QD levels to continuum states is considered. It is shown that, for large photon energies, the refractive index change is given asymptotically by the Drude formula. Calculations of the linewidth enhancement factor, alpha, show that alphasimilar to1 due to this contribution to the total refractive index. Furthermore, for highly localized QD states, the absorption coefficient at the photon energies similar to0.8-1.0 eV due to these transitions can be on the order of 10(3) m(-1). (C) 2004 American Institute of Physics. (DOI: 10.1063/1.1639933
Dephasing times in quantum dots due to elastic LO phonon-carrier collisions
Interpretation of experiments on quantum dot (QD) lasers presents a
challenge: the phonon bottleneck, which should strongly suppress relaxation and
dephasing of the discrete energy states, often seems to be inoperative. We
suggest and develop a theory for an intrinsic mechanism for dephasing in QD's:
second-order elastic interaction between quantum dot charge carriers and
LO-phonons. The calculated dephasing times are of the order of 200 fs at room
temperature, consistent with experiments. The phonon bottleneck thus does not
prevent significant room temperature dephasing.Comment: 4 pages, 1 figure, accepted for Phys. Rev. Let
Dynamics of light propagation in spatiotemporal dielectric structures
Propagation, transmission and reflection properties of linearly polarized
plane waves and arbitrarily short electromagnetic pulses in one-dimensional
dispersionless dielectric media possessing an arbitrary space-time dependence
of the refractive index are studied by using a two-component, highly symmetric
version of Maxwell's equations. The use of any slow varying amplitude
approximation is avoided. Transfer matrices of sharp nonstationary interfaces
are calculated explicitly, together with the amplitudes of all secondary waves
produced in the scattering. Time-varying multilayer structures and
spatiotemporal lenses in various configurations are investigated analytically
and numerically in a unified approach. Several new effects are reported, such
as pulse compression, broadening and spectral manipulation of pulses by a
spatiotemporal lens, and the closure of the forbidden frequency gaps with the
subsequent opening of wavenumber bandgaps in a generalized Bragg reflector
Temperature dependence of polarization relaxation in semiconductor quantum dots
The decay time of the linear polarization degree of the luminescence in
strongly confined semiconductor quantum dots with asymmetrical shape is
calculated in the frame of second-order quasielastic interaction between
quantum dot charge carriers and LO phonons. The phonon bottleneck does not
prevent significantly the relaxation processes and the calculated decay times
can be of the order of a few tens picoseconds at temperature K,
consistent with recent experiments by Paillard et al. [Phys. Rev. Lett.
{\bf86}, 1634 (2001)].Comment: 4 pages, 4 figure
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