Quantum Information Science (QIS) Seminar
(CSI 991 - 006)
Monday, October 11, 2005, 4:30
- 6:00 PM
George Mason University,
Fairfax Campus
Science Showcase, George
Johnson Center, Room 237
Presenter:
Paul Lopata,
Title: Entangled Generalizations of the Deterministic Quantum Cloning
Process
Abstract: The No-Cloning Theorem describes the
restrictions on the sets of pure states that can undergo the deterministic
quantum cloning process, which is a quantum mechanical analogue of the
classical copying process. Many generalizations of the deterministic
quantum cloning process have been studied. These include probabilistic
cloning, which aims to create perfect copies some of the time; approximate
(a.k.a. universal) cloning, which aims to create less-than-perfect copies all
of the time; and broadcasting, which generalizes the deterministic cloning
process to account for mixed states. In each of these processes, the
composite quantum mechanical system is made up of two subsystems - one
subsystem which starts in some state that we desire to copy, and the other
subsystem which starts in some "blank" state, onto which we wish to
make the copy. Furthermore, these two subsystems are assumed to be
initially uncorrelated. This talk will describe two further
generalizations of the deterministic quantum cloning process which drop this
assumption that the initial state of the compound system is in an unentangled combination of the states of the two
subsystems. Such entangled initial states are necessary to consider if
one wants to describe a quantum mechanical cloning process that is applicable
to bosons. The restrictions on the sets of states that can undergo these
generalized cloning processes will be discussed, and a connection between these
processes and probabilistic cloning will be demonstrated.
About the
Author: Bachelors Degree
in Engineering Physics – Stevens Institute of Technology, Hoboken, NJ –
1998 Ph.D. in Physics –