JSM 2005 Online Program

Abstract #303816

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	402
Type:	Contributed
Date/Time:	Wednesday, August 10, 2005 : 10:30 AM to 12:20 PM
Sponsor:	Section on Physical and Engineering Sciences
Abstract - #303816
Title:	Two Designs for Weak Quantum State Discrimination
Author(s):	Michael Frey*+
Companies:	Bucknell University
Address:	Mathematics Department, Lewisburg, PA, 17837, United States
Keywords:	quantum hypothesis testing ; state discrimination ; data fusion ; weak measurement ; experimental design
Abstract:	Quantum state discrimination is the problem of deciding, based on the results of measurements, which of a set of known quantum states is the true state of a system. Two experimental designs based on successive weak measurements are proposed for discriminating between two pure states of a quantum system. The first design, called a constant error (CE) design, is based on measurements with equal error probabilities while the second, called a constant strength (CS) design, is based on equal strength measurements. Some motivation is offered for each design. Also, for each design, optimality criteria are proposed for combining the measurement results. Optimal linear discrimination statistics are derived for these criteria. We find that the discrimination statistic for the CE design is asymptotically normal, while that for the CS design is not. The error performance of each statistic is compared with the standard Helstrom discriminator. The potential advantages of designs based on successive weak measurements is explored.

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