Quantum estimation of a two-phase spin rotation

• Authors: Cyril Vaneph , Tommaso Tufarelli , Marco G. Genoni
• Languages of publication: EN

Abstracts

EN

system, characterised by two unknown phases, and compare
the estimation precision achievable with two different strategies.
The first is a standard ‘joint estimation’ strategy, in which
a single probe state is used to estimate both parameters, while
the second is a ‘sequential’ strategy in which the two phases
are estimated separately, each on half of the total number of
system copies.
In the limit of small angles we show that, although the joint
estimation approach yields in general a better performance,
the two strategies possess the same scaling of the total phase
sensitivity with respect to the spin number j, namely ΔΦ≃ 1/j.
Finally, we discuss a simple estimation strategy based on spin
squeezed states and spin measurements, and compare its
performance with the ultimate limits to the estimation precision
that we have derived above.

Keywords

EN

quantum metrology; multiparameter quantum estimation ; spin squeezing

• Publisher: Versita
• Journal: Quantum Measurements and Quantum Metrology
• Year: 2013
• Volume: 1
• Pages: 12-20

Dates

accepted

10 - 5 - 2013

online

25 - 06 - 2013

received

30 - 11 - 2012

Contributors

author

Cyril Vaneph

• École Normale Supérieure de Lyon,
  15 parvis Descartes, BP 7000,
  69342 Lyon Cedex 07, France
• QOLS, Blackett Laboratory, Imperial College London,
  London SW7 2BW, UK

author

Tommaso Tufarelli

• QOLS, Blackett Laboratory, Imperial College London,
  London SW7 2BW, UK

author

Marco G. Genoni

• QOLS, Blackett Laboratory, Imperial College London,
  London SW7 2BW, UK

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Identifiers

DOI

10.2478/qmetro-2013-0003