Minimum-energy pulses for quantum logic cannot be shared

Gea-Banacloche, J; Ozawa, Masanao

doi:10.1103/PHYSREVA.74.060301

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

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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:

Gea-Banacloche, J ^[1]; Ozawa, Masanao ^[2]

Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701 (United States)
Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980-8579 (Japan)

Publication Date:: Fri Dec 15 00:00:00 EST 2006

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.

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                    Gea-Banacloche, J, & Ozawa, Masanao. Minimum-energy pulses for quantum logic cannot be shared.  United States.  https://doi.org/10.1103/PHYSREVA.74.060301

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                    Gea-Banacloche, J, and Ozawa, Masanao. 2006.  
        "Minimum-energy pulses for quantum logic cannot be shared".  United States.  https://doi.org/10.1103/PHYSREVA.74.060301.

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@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},

  url          = {https://www.osti.gov/biblio/20976405},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 6,

  volume       = 74,

  place        = {United States},

  year         = {Fri Dec 15 00:00:00 EST 2006},

  month        = {Fri Dec 15 00:00:00 EST 2006}

}

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