531 research outputs found
On experimental procedures for entanglement verification
We give an overview of different types of entanglement that can be generated
in experiments, as well as of various protocols that can be used to verify or
quantify entanglement. We propose several criteria that, we argue, should be
applied to experimental entanglement verification procedures. Explicit examples
demonstrate that not following these criteria will tend to result in
overestimating the amount of entanglement generated in an experiment or in
infering entanglement when there is none. We distinguish protocols meant to
refute or eliminate hidden-variable models from those meant to verify
entanglement.Comment: 15 page
Entanglement generated between a single atom and a laser pulse
We quantify the entanglement generated between an atom and a laser pulse in
free space. We find that the entanglement calculated using a simple
closed-system Jaynes-Cummings Hamiltonian is in remarkable agreement with a
full open-system calculation, even though the free-space geometry is far from
the strong coupling regime of cavity QED. We explain this result using a simple
model in which the atom couples weakly to the laser while coupling strongly to
the vacuum. Additionally we place an upper bound on the total entanglement
between the atom and all paraxial modes using a quantum trajectories
unravelling. This upper bound provides a benchmark for atom-laser coupling.Comment: 8 pages, 4 figure
Entanglement under restricted operations: Analogy to mixed-state entanglement
We show that the classification of bi-partite pure entangled states when
local quantum operations are restricted yields a structure that is analogous in
many respects to that of mixed-state entanglement. Specifically, we develop
this analogy by restricting operations through local superselection rules, and
show that such exotic phenomena as bound entanglement and activation arise
using pure states in this setting. This analogy aids in resolving several
conceptual puzzles in the study of entanglement under restricted operations. In
particular, we demonstrate that several types of quantum optical states that
possess confusing entanglement properties are analogous to bound entangled
states. Also, the classification of pure-state entanglement under restricted
operations can be much simpler than for mixed-state entanglement. For instance,
in the case of local Abelian superselection rules all questions concerning
distillability can be resolved.Comment: 10 pages, 2 figures; published versio
Unambiguous State Discrimination of Coherent States with Linear Optics: Application to Quantum Cryptography
We discuss several methods for unambiguous state discrimination of N
symmetric coherent states using linear optics and photodetectors. One type of
measurements is shown to be optimal in the limit of small photon numbers for
any N. For the special case of N=4 this measurement can be fruitfully used by
the receiving end (Bob) in an implementation of the BB84 quantum key
distribution protocol using faint laser pulses. In particular, if Bob detects
only a single photon the procedure is equivalent to the standard measurement
that he would have to perform in a single-photon implementation of BB84, if he
detects two photons Bob will unambiguously know the bit sent to him in 50% of
the cases without having to exchange basis information, and if three photons
are detected, Bob will know unambiguously which quantum state was sent.Comment: 5 RevTeX pages, 2 eps figure
Strongly focused light beams interacting with single atoms in free space
We construct 3-D solutions of Maxwell's equations that describe Gaussian
light beams focused by a strong lens. We investigate the interaction of such
beams with single atoms in free space and the interplay between angular and
quantum properties of the scattered radiation. We compare the exact results
with those obtained with paraxial light beams and from a standard input-output
formalism. We put our results in the context of quantum information processing
with single atoms.Comment: 9 pages, 9 figure
The Effect of Stochastic Noise on Quantum State Transfer
We consider the effect of classical stochastic noise on control laser pulses
used in a scheme for transferring quantum information between atoms, or quantum
dots, in separate optical cavities via an optical connection between cavities.
We develop a master equation for the dynamics of the system subject to
stochastic errors in the laser pulses, and use this to evaluate the sensitivity
of the transfer process to stochastic pulse shape errors for a number of
different pulse shapes. We show that under certain conditions, the sensitivity
of the transfer to the noise depends on the pulse shape, and develop a method
for determining a pulse shape that is minimally sensitive to specific errors.Comment: 10 pages, 9 figures, to appear in Physical Review
There is no unmet requirement of optical coherence for continuous-variable quantum teleportation
It has been argued [T. Rudolph and B.C. Sanders, Phys. Rev. Lett. 87, 077903
(2001)] that continuous-variable quantum teleportation at optical frequencies
has not been achieved because the source used (a laser) was not `truly
coherent'. Here I show that `true coherence' is always illusory, as the concept
of absolute time on a scale beyond direct human experience is meaningless. A
laser is as good a clock as any other, even in principle, and this objection to
teleportation experiments is baseless.Comment: 6 pages, no figures, no equations, to be published in Journal of
Modern Optics. This is a long version of quant-ph/0104004. I have not
replaced that paper with this one because some authors have referenced that
one approvingly who may feel differently about doing so to this versio
Error free quantum communication through noisy channels
We suggest a method to perform a quantum logic gate between distant qubits by
off-resonant field-atom dispersive interactions. The scheme we present is shown
to work ideally even in the presence of errors in the photon channels used for
communication. The stability against errors arises from the paradoxical
situation that the transmitted photons carry no information about the state of
the qubits. In contrast to a previous proposal for ideal communication [Phys.
Rev. Lett. 78, 4293 (1997)] our proposal only involves single atoms in the
sending and receiving devices.Comment: 6 pages, including 2 figure
The cryptographic power of misaligned reference frames
Suppose that Alice and Bob define their coordinate axes differently, and the
change of reference frame between them is given by a probability distribution
mu over SO(3). We show that this uncertainty of reference frame is of no use
for bit commitment when mu is uniformly distributed over a (sub)group of SO(3),
but other choices of mu can give rise to a partially or even asymptotically
secure bit commitment.Comment: 4 pages Latex; v2 has a new referenc
Quantum state transfer between motion and light
We describe schemes for transferring quantum states between light fields and
the motion of a trapped atom. Coupling between the motion and the light is
achieved via Raman transitions driven by a laser field and the quantized field
of a high-finesse microscopic cavity mode. By cascading two such systems and
tailoring laser field pulses, we show that it is possible to transfer an
arbitrary motional state of one atom to a second atom at a spatially distant
site.Comment: 10 pages, RevTex, 6 figures, to appear in Journal of Optics B:
Quantum and Semiclassical Optic
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