Paul A. Benioff

Biographical sketch

Visiting appointments

Awards

Recent papers

  1. Representation of natural numbers in quantum mechanics
    Paul Benioff
    Phys. Rev. A 63, 032305 (2001) [11 pages]
  2. Efficient implementation and the product-state representation of numbers
    Paul Benioff
    Phys. Rev. A 64, 052310 (2001) [7 pages]
  3. Towards a Coherent Theory of Physics and Mathematics
    Paul Benioff
    Found. Phys. 32, 989-1029 (2002)
  4. The Representation of Numbers in Quantum Mechanics
    Paul Benioff
    Algorithmica 34, 529-559 (2002)
  5. Cyclic networks of quantum gates
    Peter Cabauy and Paul Benioff
    Phys. Rev. A 68, 032315 (2003) [14 pages]
  6. Tightening the Theory-Experiment Connection in Physics: $R_{n}$ Based Space and Time}
    Paul Benioff
    Int. J. Quantum Inform. 3, 1-8 (2005)
  7. Representation of complex rational numbers in quantum mechanics
    Paul Benioff
    Phys. Rev. A 72, 032314 (2005) [11 pages]
  8. Towards a Coherent Theory of Physics and Mathematics: The Theory-Experiment Connection
    Paul Benioff
    Foundations of Physics 35, 1825-1856 (2005)
  9. Complex Rational Numbers in Quantum Mechanics
    Paul Benioff
    Int. J. Mod. Phys. B 20, 1730-1741 (2006)
  10. A Representation of Real and Complex Numbers in Quantum Theory
    Paul Benioff
    Int. J. Pure and Appl. Math. 39, 297-339 (2007)
  11. Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings
    Paul Benioff
    J. Phys. Conf. Ser. 70, 012003-1:19 (2007)

Selected previous papers

Theoretical Physics