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

• 2000 Quantum Communication Award of the International Organization for Quantum Communication, Computing, and Measurement
• 2001 Fellow, American Physical Society
• 2002 Special University of Chicago Medal for Distinguished Perfomance at Argonne National Laboratory

Recent papers

1. Representation of natural numbers in quantum mechanics
   Paul Benioff
   Phys. Rev. A 63, 032305-1:11 (2001)
2. Efficient implementation and the product-state representation of numbers
   Paul Benioff
   Phys. Rev. A 64, 052310-1:7 (2001)
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, 032315-1:14 (2003)
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, 032314-1:11 (2005)
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