A tight Cramér–Rao bound for joint parameter estimation with a pure two-mode squeezed probe

Mark Bradshaw; Syed M. Assad; Ping Koy Lam

doi:10.1016/j.physleta.2017.06.024

A tight Cramér–Rao bound for joint parameter estimation with a pure two-mode squeezed probe

Mark Bradshaw^*, Syed M. Assad, Ping Koy Lam

^*Corresponding author for this work

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

24 Citations (Scopus)

Abstract

We calculate the Holevo Cramér–Rao bound for estimation of the displacement experienced by one mode of an two-mode squeezed vacuum state with squeezing r and find that it is equal to 4exp⁡(−2r). This equals the sum of the mean squared error obtained from a dual homodyne measurement, indicating that the bound is tight and that the dual homodyne measurement is optimal.

Original language	English
Pages (from-to)	2598-2607
Number of pages	10
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	381
Issue number	32
DOIs	https://doi.org/10.1016/j.physleta.2017.06.024
Publication status	Published - 28 Aug 2017

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10.1016/j.physleta.2017.06.024

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title = "A tight Cram{\'e}r–Rao bound for joint parameter estimation with a pure two-mode squeezed probe",

abstract = "We calculate the Holevo Cram{\'e}r–Rao bound for estimation of the displacement experienced by one mode of an two-mode squeezed vacuum state with squeezing r and find that it is equal to 4exp⁡(−2r). This equals the sum of the mean squared error obtained from a dual homodyne measurement, indicating that the bound is tight and that the dual homodyne measurement is optimal.",

keywords = "Cram{\'e}r–Rao bound, Parameter estimation, Quantum information, Quantum optics, Quantum physics",

author = "Mark Bradshaw and Assad, \{Syed M.\} and Lam, \{Ping Koy\}",

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AU - Bradshaw, Mark

AU - Assad, Syed M.

AU - Lam, Ping Koy

PY - 2017/8/28

Y1 - 2017/8/28

N2 - We calculate the Holevo Cramér–Rao bound for estimation of the displacement experienced by one mode of an two-mode squeezed vacuum state with squeezing r and find that it is equal to 4exp⁡(−2r). This equals the sum of the mean squared error obtained from a dual homodyne measurement, indicating that the bound is tight and that the dual homodyne measurement is optimal.

AB - We calculate the Holevo Cramér–Rao bound for estimation of the displacement experienced by one mode of an two-mode squeezed vacuum state with squeezing r and find that it is equal to 4exp⁡(−2r). This equals the sum of the mean squared error obtained from a dual homodyne measurement, indicating that the bound is tight and that the dual homodyne measurement is optimal.

KW - Cramér–Rao bound

KW - Parameter estimation

KW - Quantum information

KW - Quantum optics

KW - Quantum physics

UR - https://www.scopus.com/pages/publications/85021693181

U2 - 10.1016/j.physleta.2017.06.024

DO - 10.1016/j.physleta.2017.06.024

M3 - Article

SN - 0375-9601

VL - 381

SP - 2598

EP - 2607

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 32

ER -

A tight Cramér–Rao bound for joint parameter estimation with a pure two-mode squeezed probe

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