We consider the calibration of an optical quantum gyroscope by modeling two Sagnac interferometers, mounted approximately at right angles to each other. Reliable operation requires that we know the angle between the interferometers with high precision, and we show that a procedure akin to multi-position testing in inertial navigation systems can be generalized to the case of quantum interferometry. We find that while entanglement is a key resource within an individual Sagnac interferometer, its presence between the interferometers is a far more complicated story. The optimum level of entanglement depends strongly on the sought parameter values, and small but significant improvements may be gained from choosing states with the optimal amount of entanglement between the interferometers.
[1]
Steven Kay,et al.
Fundamentals Of Statistical Signal Processing
,
2001
.
[2]
Marloes H. Maathuis,et al.
From Probability to Statistics and Back: High-Dimensional Models and Processes: A Festschrift in Honor of Jon A. Wellner
,
2013
.
[3]
Pieter Kok,et al.
Introduction to Optical Quantum Information Processing: Preface
,
2010
.
[4]
Pll Siinksen,et al.
Control
,
1999
.
[5]
G. G. Stokes.
"J."
,
1890,
The New Yale Book of Quotations.
[6]
W. Marsden.
I and J
,
2012
.