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V. Giovannetti, S. Lloyd,
L. Maccone
Nature
412, 417-419 (2001)
Abstract
A ide variety of
positioning and ranging procedures are based on repeatedly sending
electromagnetic pulses through space and measuring their time of arrival.
The accuracy of such procedures is classically limited by the available
power and bandwidth. Quantum entanglement and squeezing have been
exploited in the context of interferometry (1-5), frequency measurements
(6), lithography (7) and algorithms (8). Here we report that quantum
entanglement and squeezing can also be employed to overcome the classical
limits in procedures such as positioning systems, clock synchronization
and ranging. Our use of frequency-entangled pulses to construct quantum
versions of these protocols results in enhanced accuracy compared
with their classical analogues. We describe in detail the problem
of establishing a position with respect to a fixed array of reference
points.
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