Minimum-energy pulses for quantum logic cannot be shared
arXiv:quant-ph/0611137 · doi:10.1103/PhysRevA.74.060301
Abstract
We 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 Nε, with ε~ 1/<n>, one needs to use N/εphotons, 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.
To appear in Phys. Rev. A, Rapid Communications
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