Single Photon Quantum Ranging: When Sequential Decoding Meets High Dimensional Entanglement
arXiv (Cornell University)(2023)
摘要
We consider the quantum ranging problem in the low noise level per mode and
low reflectivity (high loss) regime. We focus on single photon transmission
strategies and propose a novel approach that combines high dimensional time-bin
entanglement at the transmitter with a carefully constructed sequential
decision rule at the detector. Our analytical results establish the significant
performance gains that can be leveraged from this approach in a range of
operating parameters, as compared to the single photon classical approach, the
two-mode squeezed vacuum ranging scheme proposed earlier, and even the
block-based classical scheme. One can attribute this performance gain to 1) the
ability of the high dimensional time-bin entangled signaling to offer a very
fine range resolution with a single transmitted photon and 2) the ability of
the sequential decision rule to minimize the average number of transmitted
photon subject to a constraint on the probability of error. While our analysis
is limited to the low energy/low noise regime, we conjecture that the proposed
approach's superior performance extends to a wider range of scenarios which
should motivate further analytical and experimental investigations.
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关键词
photon quantum,decoding
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