### Abstract

A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that the Cramér-Rao sensitivity is sub-Heisenberg [P. M. Anisimov et al., Phys. Rev. Lett. 104, 103602 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.103602]. However, these measurements are problematic, making it unclear if this sensitivity can be obtained with a finite number of measurements. This sensitivity is only for a phase near zero, and in this region there is a problem with ambiguity because measurements cannot distinguish the sign of the phase. Here, we consider a finite number of parity measurements and show that an adaptive technique gives a highly accurate phase estimate regardless of the phase. We show that the Heisenberg limit is reachable, where the number of trials needed for mean photon number n̄ = 1 is approximately 100. We show that the Cramér-Rao sensitivity can be achieved approximately, and the estimation is unambiguous in the interval (-π/2,π/2).

Language | English |
---|---|

Article number | 053837 |

Pages | 1-8 |

Number of pages | 8 |

Journal | Physical Review A |

Volume | 95 |

Issue number | 5 |

DOIs | |

Publication status | Published - 12 May 2017 |

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### Cite this

*Physical Review A*,

*95*(5), 1-8. [053837]. https://doi.org/10.1103/PhysRevA.95.053837

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*Physical Review A*, vol. 95, no. 5, 053837, pp. 1-8. https://doi.org/10.1103/PhysRevA.95.053837

**Adaptive phase estimation with two-mode squeezed vacuum and parity measurement.** / Huang, Zixin; Motes, Keith R.; Anisimov, Petr M.; Dowling, Jonathan P.; Berry, Dominic W.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Adaptive phase estimation with two-mode squeezed vacuum and parity measurement

AU - Huang, Zixin

AU - Motes, Keith R.

AU - Anisimov, Petr M.

AU - Dowling, Jonathan P.

AU - Berry, Dominic W.

PY - 2017/5/12

Y1 - 2017/5/12

N2 - A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that the Cramér-Rao sensitivity is sub-Heisenberg [P. M. Anisimov et al., Phys. Rev. Lett. 104, 103602 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.103602]. However, these measurements are problematic, making it unclear if this sensitivity can be obtained with a finite number of measurements. This sensitivity is only for a phase near zero, and in this region there is a problem with ambiguity because measurements cannot distinguish the sign of the phase. Here, we consider a finite number of parity measurements and show that an adaptive technique gives a highly accurate phase estimate regardless of the phase. We show that the Heisenberg limit is reachable, where the number of trials needed for mean photon number n̄ = 1 is approximately 100. We show that the Cramér-Rao sensitivity can be achieved approximately, and the estimation is unambiguous in the interval (-π/2,π/2).

AB - A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that the Cramér-Rao sensitivity is sub-Heisenberg [P. M. Anisimov et al., Phys. Rev. Lett. 104, 103602 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.103602]. However, these measurements are problematic, making it unclear if this sensitivity can be obtained with a finite number of measurements. This sensitivity is only for a phase near zero, and in this region there is a problem with ambiguity because measurements cannot distinguish the sign of the phase. Here, we consider a finite number of parity measurements and show that an adaptive technique gives a highly accurate phase estimate regardless of the phase. We show that the Heisenberg limit is reachable, where the number of trials needed for mean photon number n̄ = 1 is approximately 100. We show that the Cramér-Rao sensitivity can be achieved approximately, and the estimation is unambiguous in the interval (-π/2,π/2).

UR - http://www.scopus.com/inward/record.url?scp=85026923393&partnerID=8YFLogxK

UR - http://purl.org/au-research/grants/arc/FT100100761

UR - http://purl.org/au-research/grants/arc/DP160102426

UR - http://purl.org/au-research/grants/arc/CE110001013

UR - http://ulrichsweb.serialssolutions.com/title/1507159041972/51689

U2 - 10.1103/PhysRevA.95.053837

DO - 10.1103/PhysRevA.95.053837

M3 - Article

VL - 95

SP - 1

EP - 8

JO - Physical Review A: covering atomic, molecular, and optical physics and quantum information

T2 - Physical Review A: covering atomic, molecular, and optical physics and quantum information

JF - Physical Review A: covering atomic, molecular, and optical physics and quantum information

SN - 2469-9926

IS - 5

M1 - 053837

ER -