Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements

B. L. Higgins, D. W. Berry, S. D. Bartlett, M. W. Mitchell, H. M. Wiseman, G. J. Pryde

Research output: Contribution to journalArticlepeer-review

70 Citations (Scopus)
11 Downloads (Pure)


We 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.

Original languageEnglish
Article number073023
Pages (from-to)1-14
Number of pages14
JournalNew Journal of Physics
Publication statusPublished - 9 Jul 2009

Bibliographical note

Copyright the Publisher 2009. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Fingerprint Dive into the research topics of 'Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements'. Together they form a unique fingerprint.

Cite this