Measurements on quantum systems are always constrained by uncertainty relations. For traditional, projective measurements, uncertainty relations correspond to resolution limitations; a detector's position resolution is increased at the cost of its momentum resolution and vice-versa. However, many experiments in quantum measurement are now exploring non-or partially-projective measurements. For these techniques, measurement disturbance need not manifest as a blurring in the complementary domain. Here, we describe a technique for complementary imaging obtaining sharp position and momentum distributions of a transverse optical field with a single set of measurements. Our technique consists of random, partially-projective filtering in position followed by projective measurements in momentum. The partial-projections extract information about position at the cost of injecting a small amount of noise into the momentum distribution, which can still be directly imaged. The position distribution is recovered via compressive sensing.
|Original language||American English|
|Title of host publication||Quantum Information and Computation XIII|
|Editors||Michael Hayduk, Andrew R. Pirich, Eric Donkor|
|State||Published - 2015|
|Event||Quantum Information and Computation XIII - Baltimore, United States|
Duration: 22 Apr 2015 → 24 Apr 2015
|Name||Proceedings of SPIE - The International Society for Optical Engineering|
|Conference||Quantum Information and Computation XIII|
|Period||22/04/15 → 24/04/15|
Bibliographical noteFunding Information:
The present project was supported by a grants from the Research Foundation of the University of Sistan and Baluchestan, Zahedan, Iran, Science and Technology Park, Yazd, Iran and department of biology of Science and Art University, Yazd, Iran.
© 2015 SPIE.