Optimized parameter estimation in the presence of collective phase noise

Abstract

We investigate phase and frequency estimation with different measurement strategies under the effect of collective phase noise. First, we consider the standard linear estimation scheme and present an experimentally realisable optimization of the initial probe states by collective rotations. We identify the optimal rotation angle for different measurement times. Second, we show that sub-shot noise sensitivity - up to the Heisenberg limit - can be reached in presence of collective phase noise by using differential interferometry, where one part of the system is used to monitor the noise. For this, not only GHZ states but also symmetric Dicke states are suitable. We investigate the optimal splitting for a general symmetric Dicke state at both inputs and discuss possible experimental realisations of differential interferometry.

17 pages, 6 figures, v2: small revisions, final version

References in corpus (5)

• 14-qubit entanglement: creation and coherence
• Quantum metrology from a quantum information science perspective
• Twin matter waves for interferometry beyond the classical limit
• Experimental entanglement of a six-photon symmetric Dicke state
• Phase-noise protection in quantum-enhanced differential interferometry

Cited by in corpus (7)

• Quantum metrology in a non-Markovian quantum evolution
• Control-enhanced quantum metrology under Markovian noise
• Noisy distributed sensing in the Bayesian regime
• Efficient preparation of Dicke states
• Time-energy uncertainty relation for noisy quantum metrology
• Lower Bounds on Quantum Metrological Precision
• Optimal noisy quantum phase estimation with finite-dimensional states