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Title: Minimum-energy pulses for quantum logic cannot be shared

Journal Article · · Physical Review. A
 [1];  [2]
  1. Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701 (United States)
  2. Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980-8579 (Japan)

We show that if an electromagnetic energy pulse in a multimode coherent state 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{sup 2}/n. This means that in order to keep the error probability bounded by N{epsilon}, with {epsilon}{approx}1/n, one needs to use Nn photons or, equivalently, N separate 'minimum-energy' pulses: in this sense the pulses cannot, in general, be shared. The origin of 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.

OSTI ID:
20976405
Journal Information:
Physical Review. A, Vol. 74, Issue 6; Other Information: DOI: 10.1103/PhysRevA.74.060301; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English