1,623 research outputs found
Quantum Metrology in the Kerr Metric
A surprising feature of the Kerr metric is the anisotropy of the speed of
light. The angular momentum of a rotating massive object causes co- and
counter-propagating light paths to move at faster and slower velocities,
respectively as determined by a far-away clock. Based on this effect we derive
ultimate quantum limits for the measurement of the Kerr rotation parameter
using a interferometric set up. As a possible implementation, we propose a
Mach-Zehnder interferometer to measure the "one-way height differential" time
effect. We isolate the effect by calibrating to a dark port and rotating the
interferometer such that only the direction dependent Kerr-metric induced phase
term remains. We transform to the Zero Angular Momentum Observer (ZAMO) flat
metric where the observer see . We use this metric and the Lorentz
transformations to calculate the same Kerr phase shift. We then consider
non-stationary observers moving with the planet's rotation, and find a method
for cancelling the additional phase from the classical relative motion, thus
leaving only the curvature induced phase.Comment: 9 pages, 7 figures, closest to published versio
Estimating space-time parameters with a quantum probe in a lossy environment
We study the problem of estimating the Schwarzschild radius of a massive body
using Gaussian quantum probe states. Previous calculations assumed that the
probe state remained pure after propagating a large distance. In a realistic
scenario, there would be inevitable losses. Here we introduce a practical
approach to calculate the Quantum Fisher Informations (QFIs) for a quantum
probe that has passed through a lossy channel. Whilst for many situations loss
means coherent states are optimal, we identify certain situations for which
squeezed states have an advantage. We also study the effect of the frequency
profile of the wavepacket propagating from Alice to Bob. There exists an
optimal operating point for a chosen mode profile. In particular, employing a
smooth rectangular frequency profile significantly improves the error bound on
the Schwarzschild radius compared to a Gaussian frequency profile.Comment: 14 pages, 18 figure
Computation using Noise-based Logic: Efficient String Verification over a Slow Communication Channel
Utilizing the hyperspace of noise-based logic, we show two string
verification methods with low communication complexity. One of them is based on
continuum noise-based logic. The other one utilizes noise-based logic with
random telegraph signals where a mathematical analysis of the error probability
is also given. The last operation can also be interpreted as computing
universal hash functions with noise-based logic and using them for string
comparison. To find out with 10^-25 error probability that two strings with
arbitrary length are different (this value is similar to the error probability
of an idealistic gate in today's computer) Alice and Bob need to compare only
83 bits of the noise-based hyperspace.Comment: Accepted for publication in European Journal of Physics B (November
10, 2010
Fluctuation-enhanced sensing
We present a short survey on fluctuation-enhanced gas sensing. We compare
some of its main characteristics with those of classical sensing. We address
the problem of linear response, information channel capacity, missed alarms and
false alarms.Comment: Keynote Talk at SPIE's 4th international symposium on Fluctuations
and Noise, Conference Noise and Fluctuations in Circuits, Devices and
Materials, Florence, Italy, May 20-24, 200
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