230 research outputs found
Efficient Parity Encoded Optical Quantum Computing
We present a linear optics quantum computation scheme with a greatly reduced
cost in resources compared to KLM. The scheme makes use of elements from
cluster state computation and achieves comparable resource usage to those
schemes while retaining the circuit based approach of KLM
Loss-resistant state teleportation and entanglement swapping using a quantum-dot spin in an optical microcavity
We present a scheme for efficient state teleportation and entanglement
swapping using a single quantum-dot spin in an optical microcavity based on
giant circular birefringence. State teleportation or entanglement swapping is
heralded by the sequential detection of two photons, and is finished after the
spin measurement. The spin-cavity unit works as a complete Bell-state analyzer
with a built-in spin memory allowing loss-resistant repeater operation. This
device can work in both the weak coupling and the strong coupling regime, but
high efficiencies and high fidelities are only achievable when the side leakage
and cavity loss is low. We assess the feasibility of this device, and show it
can be implemented with current technology. We also propose a spin manipulation
method using single photons, which could be used to preserve the spin coherence
via spin echo techniques.Comment: The manuscript is extended, including BSA fidelity, efficiency, and a
compatible scheme for spin manipulations and spin echoes to prolong the spin
coherenc
Recycling of quantum information: Multiple observations of quantum systems
Given a finite number of copies of an unknown qubit state that have already
been measured optimally, can one still extract any information about the
original unknown state? We give a positive answer to this question and quantify
the information obtainable by a given observer as a function of the number of
copies in the ensemble, and of the number of independent observers that, one
after the other, have independently measured the same ensemble of qubits before
him. The optimality of the protocol is proven and extensions to other states
and encodings are also studied. According to the general lore, the state after
a measurement has no information about the state before the measurement. Our
results manifestly show that this statement has to be taken with a grain of
salt, specially in situations where the quantum states encode confidential
information.Comment: 4 page
Optimal signal states for quantum detectors
Quantum detectors provide information about quantum systems by establishing
correlations between certain properties of those systems and a set of
macroscopically distinct states of the corresponding measurement devices. A
natural question of fundamental significance is how much information a quantum
detector can extract from the quantum system it is applied to. In the present
paper we address this question within a precise framework: given a quantum
detector implementing a specific generalized quantum measurement, what is the
optimal performance achievable with it for a concrete information readout task,
and what is the optimal way to encode information in the quantum system in
order to achieve this performance? We consider some of the most common
information transmission tasks - the Bayes cost problem (of which minimal error
discrimination is a special case), unambiguous message discrimination, and the
maximal mutual information. We provide general solutions to the Bayesian and
unambiguous discrimination problems. We also show that the maximal mutual
information has an interpretation of a capacity of the measurement, and derive
various properties that it satisfies, including its relation to the accessible
information of an ensemble of states, and its form in the case of a
group-covariant measurement. We illustrate our results with the example of a
noisy two-level symmetric informationally complete measurement, for whose
capacity we give analytical proofs of optimality. The framework presented here
provides a natural way to characterize generalized quantum measurements in
terms of their information readout capabilities.Comment: 13 pages, 1 figure, example section extende
Multi-copy programmable discrimination of general qubit states
Quantum state discrimination is a fundamental primitive in quantum statistics
where one has to correctly identify the state of a system that is in one of two
possible known states. A programmable discrimination machine performs this task
when the pair of possible states is not a priori known, but instead the two
possible states are provided through two respective program ports. We study
optimal programmable discrimination machines for general qubit states when
several copies of states are available in the data or program ports. Two
scenarios are considered: one in which the purity of the possible states is a
priori known, and the fully universal one where the machine operates over
generic mixed states of unknown purity. We find analytical results for both,
the unambiguous and minimum error, discrimination strategies. This allows us to
calculate the asymptotic performance of programmable discrimination machines
when a large number of copies is provided, and to recover the standard state
discrimination and state comparison values as different limiting cases.Comment: Based on version published in Physical Review A, some errors in
appendix A corrected. 13 pages, 4 figure
The anomalous behavior of coefficient of normal restitution in the oblique impact
The coefficient of normal restitution in an oblique impact is theoretically
studied. Using a two-dimensional lattice models for an elastic disk and an
elastic wall, we demonstrate that the coefficient of normal restitution can
exceed one and has a peak against the incident angle in our simulation.
Finally, we explain these phenomena based upon the phenomenological theory of
elasticity.Comment: 4 pages, 4 figures, to be appeared in PR
"All-versus-nothing" nonlocality test of quantum mechanics by two-photon hyperentanglement
We report the experimental realization and the characterization of
polarization and momentum hyperentangled two photon states, generated by a new
parametric source of correlated photon pairs. By adoption of these states an
"all versus nothing" test of quantum mechanics was performed. The two photon
hyperentangled states are expected to find at an increasing rate a widespread
application in state engineering and quantum information. PACS: 03.65.Ud,
03.67.Mn, 42.65. LmComment: Replaced with published versio
Phase estimation for thermal Gaussian states
We give the optimal bounds on the phase-estimation precision for mixed
Gaussian states in the single-copy and many-copy regimes. Specifically, we
focus on displaced thermal and squeezed thermal states. We find that while for
displaced thermal states an increase in temperature reduces the estimation
fidelity, for squeezed thermal states a larger temperature can enhance the
estimation fidelity. The many-copy optimal bounds are compared with the minimum
variance achieved by three important single-shot measurement strategies. We
show that the single-copy canonical phase measurement does not always attain
the optimal bounds in the many-copy scenario. Adaptive homodyning schemes do
attain the bounds for displaced thermal states, but for squeezed states they
yield fidelities that are insensitive to temperature variations and are,
therefore, sub-optimal. Finally, we find that heterodyne measurements perform
very poorly for pure states but can attain the optimal bounds for sufficiently
mixed states. We apply our results to investigate the influence of losses in an
optical metrology experiment. In the presence of losses squeezed states cease
to provide Heisenberg limited precision and their performance is close to that
of coherent states with the same mean photon number.Comment: typos correcte
Optical Bell-state analysis in the coincidence basis
Many quantum information protocols require a Bell-state measurement of
entangled systems. Most optical Bell-state measurements utilize two-photon
interference at a beam splitter. By creating polarization-entangled photons
with spontaneous parametric down-conversion using a first-order
Hermite-Gaussian pump beam, we invert the usual interference behavior and
perform an incomplete Bell-state measurement in the coincidence basis. We
discuss the possibility of a complete Bell-state measurement in the coincidence
basis using hyperentangled states [Phys. Rev. A, \textbf{58}, R2623 (1998)].Comment: 5 pages, 5 figure
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