Minimumenergy pulses for quantum logic cannot be shared
Abstract
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 worstcase 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 'minimumenergy' pulses: in this sense the pulses cannot, in general, be shared. The origin of this phenomenon is found in atomfield entanglement. These results may have important consequences for quantum logic and, in particular, for largescale quantum computation.
 Authors:

 Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701 (United States)
 Graduate School of Information Sciences, Tohoku University, Aobaku, Sendai 9808579 (Japan)
 Publication Date:
 OSTI Identifier:
 20976405
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. A
 Additional Journal Information:
 Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.74.060301; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 10502947
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; COHERENT RADIATION; EIGENSTATES; ELECTROMAGNETIC PULSES; MULTIPHOTON PROCESSES; PHOTONATOM COLLISIONS; PHOTONS; PROBABILITY; PULSES; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT
Citation Formats
GeaBanacloche, J, and Ozawa, Masanao. Minimumenergy pulses for quantum logic cannot be shared. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.74.060301.
GeaBanacloche, J, & Ozawa, Masanao. Minimumenergy pulses for quantum logic cannot be shared. United States. doi:10.1103/PHYSREVA.74.060301.
GeaBanacloche, J, and Ozawa, Masanao. Fri .
"Minimumenergy pulses for quantum logic cannot be shared". United States. doi:10.1103/PHYSREVA.74.060301.
@article{osti_20976405,
title = {Minimumenergy pulses for quantum logic cannot be shared},
author = {GeaBanacloche, J and Ozawa, Masanao},
abstractNote = {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 worstcase 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 'minimumenergy' pulses: in this sense the pulses cannot, in general, be shared. The origin of this phenomenon is found in atomfield entanglement. These results may have important consequences for quantum logic and, in particular, for largescale quantum computation.},
doi = {10.1103/PHYSREVA.74.060301},
journal = {Physical Review. A},
issn = {10502947},
number = 6,
volume = 74,
place = {United States},
year = {2006},
month = {12}
}