Exponential quantum enhancement for distributed addition with local nonlinearity

Exponential quantum enhancement for distributed addition with local nonlinearity We consider classical and entanglement-assisted versions of a distributed computation scheme that computes nonlinear Boolean functions of a set of input bits supplied by separated parties. Communication between the parties is restricted to take place through a specific apparatus which enforces the constraints that all nonlinear, nonlocal classical logic is performed by a single receiver, and that all communication occurs through a limited number of one-bit channels. In the entanglement-assisted version, the number of channels required to compute a Boolean function of fixed nonlinearity can become exponentially smaller than in the classical version. We demonstrate this exponential enhancement for the problem of distributed integer addition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Exponential quantum enhancement for distributed addition with local nonlinearity

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Publisher
Springer US
Copyright
Copyright © 2009 by Springer Science+Business Media, LLC
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-009-0126-9
Publisher site
See Article on Publisher Site

References

  • Towards quantum-based privacy and voting
    Hillery, M.; Ziman, M.; Bužec, V.; Bieliková, M.
  • Geometric approach to digital quantum information
    Rigetti, C.; Mosseri, R.; Devoret, M.

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