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Title: Minimum-energy 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 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.

Authors:
 [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)
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 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; COHERENT RADIATION; EIGENSTATES; ELECTROMAGNETIC PULSES; MULTI-PHOTON PROCESSES; PHOTON-ATOM COLLISIONS; PHOTONS; PROBABILITY; PULSES; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT

Citation Formats

Gea-Banacloche, J, and Ozawa, Masanao. Minimum-energy pulses for quantum logic cannot be shared. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.74.060301.
Gea-Banacloche, J, & Ozawa, Masanao. Minimum-energy pulses for quantum logic cannot be shared. United States. doi:10.1103/PHYSREVA.74.060301.
Gea-Banacloche, J, and Ozawa, Masanao. Fri . "Minimum-energy pulses for quantum logic cannot be shared". United States. doi:10.1103/PHYSREVA.74.060301.
@article{osti_20976405,
title = {Minimum-energy pulses for quantum logic cannot be shared},
author = {Gea-Banacloche, 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 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.},
doi = {10.1103/PHYSREVA.74.060301},
journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 74,
place = {United States},
year = {2006},
month = {12}
}