

 |
Robert B. Griffiths
Otto Stern University
Professor of Physics
Ph.D., Stanford University
Email: rgrif@cmu.edu
Phone: (412)
268-2765
FAX: (412)
681-0648
|

|

Quantum mechanics is hard to understand not only because it involves
unfamiliar mathematics, but also because the usual discussion in textbooks about
how to relate the mathematics to the real world is incomplete. Supplying the
missing link(s) and working out a fully consistent form of quantum theory is the
goal of a research program which I initiated in 1984, and which, with major
contributions by Roland Omnes, Murray Gell-Mann, and James Hartle, has resulted
in what is now called the consistent (or decoherent) history approach to quantum
theory. So far as is known at present, this approach is powerful enough to
resolve the various quantum paradoxes (Schrodinger's cat, Einstein-Podolsky-Rosen,
etc.) without any mysterious action-at-a-distance, and it makes good sense out
of quantum measurements. I have written a book Consistent
Quantum Theory (Cambridge University Press) which explains the essentials
of this approach.
At present my research program is focused on applying consistent history
methods and ideas to quantum information theory and quantum computation. Using
the principle that quantum measurements, when properly interpreted, reveal a
property of the measured system before the measurement took place, C.-S. Niu and
I showed that one could greatly simplify the final step in Shor's algorithm for
factoring long numbers. We made similar applications to eavesdropping in quantum
cryptography. Understanding the significance of density matrices and entangled
quantum states, and investigating the noise produced by quantum copying
processes, are among the projects currently underway in my research group. We
are also looking for (special) relativistic counterparts of some aspects of the
consistent history interpretation which at present are best understood for
nonrelativistic systems. For further information about my research group
see its web page.
My other interests include the problem of irreversibility in statistical
mechanics, and various issues, such as determinism and free will, at the
interface between science and Christian theology.

Selected Publications
R. B. Griffiths, S. Wu, L. Yu
and S. M. Cohen, "Atemporal diagrams for quantum circuits," Phys. Rev. A 73
(2006) 052309.
R. B. Griffiths, "Improving
students' understanding of quantum mechanics," (letter) Phys. Today 60, No. 3
(March) (2007) 8.
V. Gheorghiu and R. B.
Griffiths, "Entanglement transformations using separable operations," Phys. Rev.
A 76 (2007) 032310.
R. B. Griffiths, "Quantum
Information and Quantum Foundations," The Quantum Times (APS Topical Group on
Quantum Information, Concepts, and Computation) 2, No. 1 (2007) 1.
R. B. Griffiths, "Types of
quantum information," Phys. Rev. A 76. (2007) 062320.
|