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26 January 2021
 
  » arxiv » quant-ph/0611137

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Minimum-energy pulses for quantum logic cannot be shared
Julio Gea-Banacloche ; Masanao Ozawa ;
Date 13 Nov 2006
AbstractWe show that if an electromagnetic energy pulse with average photon number <n> is used to carry out the same quantum logical operation on a set of N atoms, either simultaneously or sequentially, the overall error probability in the worst case scenario (i.e., maximized over all the possible initial atomic states) scales as N^2/<n>. This means that in order to keep the error probability bounded by Nepsilon, with epsilon ~ 1/<n>, one needs to use N/epsilon photons, or equivalently N separate "minimum-energy’’ pulses: in this sense the pulses cannot, in general, be shared. The origin for this phenomenon is found in atom-field entanglement. These results may have important consequences for quantum logic and, in particular, for large-scale quantum computation.
Source arXiv, quant-ph/0611137
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