1,069 research outputs found
Entangled coherent states versus entangled photon pairs for practical quantum information processing
We compare effects of decoherence and detection inefficiency on entangled
coherent states (ECSs) and entangled photon pairs (EPPs), both of which are
known to be particularly useful for quantum information processing (QIP). When
decoherence effects caused by photon losses are heavy, the ECSs outperform the
EPPs as quantum channels for teleportation both in fidelities and in success
probabilities. On the other hand, when inefficient detectors are used, the
teleportation scheme using the ECSs suffers undetected errors that result in
the degradation of fidelity, while this is not the case for the teleportation
scheme using the EPPs. Our study reveals the merits and demerits of the two
types of entangled states in realizing practical QIP under realistic
conditions.Comment: 9 pages, 6 figures, substantially revised version, to be published in
Phys. Rev.
Dropping cold quantum gases on Earth over long times and large distances
We describe the non-relativistic time evolution of an ultra-cold degenerate
quantum gas (bosons/fermions) falling in Earth's gravity during long times (10
sec) and over large distances (100 m). This models a drop tower experiment that
is currently performed by the QUANTUS collaboration at ZARM (Bremen, Germany).
Starting from the classical mechanics of the drop capsule and a single particle
trapped within, we develop the quantum field theoretical description for this
experimental situation in an inertial frame, the corotating frame of the Earth,
as well as the comoving frame of the drop capsule. Suitable transformations
eliminate non-inertial forces, provided all external potentials (trap, gravity)
can be approximated with a second order Taylor expansion around the
instantaneous trap center. This is an excellent assumption and the harmonic
potential theorem applies. As an application, we study the quantum dynamics of
a cigar-shaped Bose-Einstein condensate in the Gross-Pitaevskii mean-field
approximation. Due to the instantaneous transformation to the rest-frame of the
superfluid wave packet, the long-distance drop (100m) can be studied easily on
a numerical grid.Comment: 18 pages latex, 5 eps figures, submitte
NMR experiment factors numbers with Gauss sums
We factor the number 157573 using an NMR implementation of Gauss sums.Comment: 4 pages 5 figure
Exact decoherence to pointer states in free open quantum systems is universal
In this paper it is shown that exact decoherence to minimal uncertainty
Gaussian pointer states is generic for free quantum particles coupled to a heat
bath. More specifically, the paper is concerned with damped free particles
linearly coupled under product initial conditions to a heat bath at arbitrary
temperature, with arbitrary coupling strength and spectral densities covering
the Ohmic, subohmic, and supraohmic regime. Then it is true that there exists a
time t_c such that for times t>t_c the state can always be exactly represented
as a mixture (convex combination) of particular minimal uncertainty Gaussian
states, regardless of and independent from the initial state. This exact
`localisation' is hence not a feature specific to high temperatures and weak
damping limit, but is rather a generic property of damped free particles.Comment: 4 pages, 1 figur
Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
The dynamics of M-site, N-particle Bose-Hubbard systems is described in
quantum phase space constructed in terms of generalized SU(M) coherent states.
These states have a special significance for these systems as they describe
fully condensed states. Based on the differential algebra developed by Gilmore,
we derive an explicit evolution equation for the (generalized) Husimi-(Q)- and
Glauber-Sudarshan-(P)-distributions. Most remarkably, these evolution equations
turn out to be second order differential equations where the second order terms
scale as 1/N with the particle number. For large N the evolution reduces to a
(classical) Liouvillian dynamics. The phase space approach thus provides a
distinguished instrument to explore the mean-field many-particle crossover. In
addition, the thermodynamic Bloch equation is analyzed using similar
techniques.Comment: 11 pages, Revtex
Generation of a superposition of multiple mesoscopic states of radiation in a resonant cavity
Using resonant interaction between atoms and the field in a high quality
cavity, we show how to generate a superposition of many mesoscopic states of
the field. We study the quasi-probability distributions and demonstrate the
nonclassicality of the superposition in terms of the zeroes of the Q-function
as well as the negativity of the Wigner function. We discuss the decoherence of
the generated superposition state. We propose homodyne techniques of the type
developed by Auffeves et al [Phys. Rev. Lett. 91, 230405 (2003)] to monitor the
superposition of many mesoscopic states.Comment: submitted to Phys. Rev.
Quantum bit commitment under Gaussian constraints
Quantum bit commitment has long been known to be impossible. Nevertheless,
just as in the classical case, imposing certain constraints on the power of the
parties may enable the construction of asymptotically secure protocols. Here,
we introduce a quantum bit commitment protocol and prove that it is
asymptotically secure if cheating is restricted to Gaussian operations. This
protocol exploits continuous-variable quantum optical carriers, for which such
a Gaussian constraint is experimentally relevant as the high optical
nonlinearity needed to effect deterministic non-Gaussian cheating is
inaccessible.Comment: 9 pages, 6 figure
Quantum Repeaters using Coherent-State Communication
We investigate quantum repeater protocols based upon atomic
qubit-entanglement distribution through optical coherent-state communication.
Various measurement schemes for an optical mode entangled with two spatially
separated atomic qubits are considered in order to nonlocally prepare
conditional two-qubit entangled states. In particular, generalized measurements
for unambiguous state discrimination enable one to completely eliminate
spin-flip errors in the resulting qubit states, as they would occur in a
homodyne-based scheme due to the finite overlap of the optical states in phase
space. As a result, by using weaker coherent states, high initial fidelities
can still be achieved for larger repeater spacing, at the expense of lower
entanglement generation rates. In this regime, the coherent-state-based
protocols start resembling single-photon-based repeater schemes.Comment: 11 pages, 8 figure
Complementarity in generic open quantum systems
We develop a unified, information theoretic interpretation of the
number-phase complementarity that is applicable both to finite-dimensional
(atomic) and infinite-dimensional (oscillator) systems, with number treated as
a discrete Hermitian observable and phase as a continuous positive operator
valued measure (POVM). The relevant uncertainty principle is obtained as a
lower bound on {\it entropy excess}, , the difference between the entropy of
one variable, typically the number, and the knowledge of its complementary
variable, typically the phase, where knowledge of a variable is defined as its
relative entropy with respect to the uniform distribution. In the case of
finite dimensional systems, a weighting of phase knowledge by a factor
() is necessary in order to make the bound tight, essentially on account
of the POVM nature of phase as defined here. Numerical and analytical evidence
suggests that tends to 1 as system dimension becomes infinite. We study
the effect of non-dissipative and dissipative noise on these complementary
variables for oscillator as well as atomic systems.Comment: 18 pages, 15 figures; accepted for publication in Modern Physics
Letters
- …