Paul A. Benioff

  • phone: 630/252-3218
  • FAX: 630/252-6008
  • e-mail: pbenioff@anl.gov

Biographical sketch

  • 1959 Ph.D., University of California at Berkeley
  • 1960 Weizmann Fellow
  • 1961 Ford Fellowship, Niels Bohr Institute
  • 1961-1995 Argonne National Laboratory
  • 1995-present Post-retirement Research Participant, Argonne National Laboratory

Visiting appointments

  • 1979 & 1982 Visiting Scientist, CNRS Marseilles
  • 1979 Visiting Professor, Tel Aviv University

Awards

Selected papers

  1. Quantum Mechanical Models of Turing Machines That Dissipate No Energy
    Paul Benioff
    Phys. Rev. Lett. 48, 1581-1585 (1982)
  2. Quantum mechanical Hamiltonian models of discrete processes that erase their own histories: Application to Turing machines
    Paul A. Benioff
    Int. J. Theor. Phys. 21, 177-201 (1982)
  3. Comment on "Dissipation in Computation"
    Paul Benioff
    Phys. Rev. Lett. 53, 1203 (1984)
  4. Quantum Mechanical Hamiltonian Models of Computers
    Paul Benioff
    Ann. New York Acad. Sci. 480, 475-486 (1986)
  5. Unitary dilation models of Turing machines in quantum mechanics
    Paul Benioff
    Phys. Rev. A 51, 3513-3524 (1995)
  6. Quantum ballistic evolution in quantum mechanics: Application to quantum computers
    Paul Benioff
    Phys. Rev. A 54, 1106-1123 (1996)
  7. Tight Binding Hamiltonians and Quantum Turing Machines
    Paul Benioff
    Phys. Rev. Lett. 78, 590-593 (1997)
  8. Transmission and spectral aspects of tight-binding Hamiltonians for the counting quantum Turing machine
    Paul Benioff
    Phys. Rev. B 55, 9482-9494 (1997)
  9. Quantum robots and environments
    Paul Benioff
    Phys. Rev. A 58, 893-904 (1998)
  10. Foundational Aspects of Quantum Computers and Quantum Robots
    Paul Benioff
    Superlattices and Microstructures 23, 407-417 (1998)
  11. Models of Quantum Turing Machines
    Paul Benioff
    Fortschritte der Physik 46, 423-441 (1998)
  12. The Landauer Resistance and Band Spectra for the Counting Quantum Turing Machine
    Paul Benioff
    Physica D 120, 12-29 (1998)
  13. Simple example of definitions of truth, validity, consistency, and completeness in quantum mechanics
    Paul Benioff
    Phys. Rev. A 59, 4223-4237 (1999)
  14. Representation of natural numbers in quantum mechanics
    Paul Benioff
    Phys. Rev. A 63, 032305-1:11 (2001)
  15. Efficient implementation and the product-state representation of numbers
    Paul Benioff
    Phys. Rev. A 64, 052310-1:7 (2001)
  16. Towards a Coherent Theory of Physics and Mathematics
    Paul Benioff
    Found. Phys. 32, 989-1029 (2002)
  17. The Representation of Numbers in Quantum Mechanics
    Paul Benioff
    Algorithmica 34, 529-559 (2002)
  18. Cyclic networks of quantum gates
    Peter Cabauy and Paul Benioff
    Phys. Rev. A 68, 032315-1:14 (2003)
  19. Representation of complex rational numbers in quantum mechanics
    Paul Benioff
    Phys. Rev. A 72, 032314-1:11 (2005)
  20. Complex Rational Numbers in Quantum Mechanics
    Paul Benioff
    Int. J. Mod. Phys. B 20, 1730-1741 (2006)