B L Higgins et al 2009 New J. Phys. 11 073023 doi:10.1088/1367-2630/11/7/073023
Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
B L Higgins1, D W Berry2,3,4, S D Bartlett5, M W Mitchell6, H M Wiseman1,7 and G J Pryde1,7
Show affiliationsWe derive, and experimentally demonstrate, an interferometric scheme for unambiguous phase estimation with precision scaling at the Heisenberg limit that does not require adaptive measurements. That is, with no prior knowledge of the phase, we can obtain an estimate of the phase with a standard deviation that is only a small constant factor larger than the minimum physically allowed value. Our scheme resolves the phase ambiguity that exists when multiple passes through a phase shift, or NOON states, are used to obtain improved phase resolution. Like a recently introduced adaptive technique (Higgins et al 2007 Nature 450 393), our experiment uses multiple applications of the phase shift on single photons. By not requiring adaptive measurements, but rather using a predetermined measurement sequence, the present scheme is both conceptually simpler and significantly easier to implement. Additionally, we demonstrate a simplified adaptive scheme that also surpasses the standard quantum limit for single passes.
- PACS
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42.50.St Nonclassical interferometry, subwavelength lithography
03.65.Ta Foundations of quantum mechanics; measurement theory
- Subjects
- Dates
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Issue 7 (July 2009)
Received 20 March 2009
Published 9 July 2009
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Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
B L Higgins et al 2009 New J. Phys. 11 073023
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