2009
DOI: 10.1103/physreva.79.022103
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Parameter estimation with cluster states

Abstract: We propose a scheme for parameter estimation with cluster states. We find that phase estimation with cluster states under a many-body Hamiltonian and separable measurements leads to a precision at the Heisenberg limit. As noise models we study the dephasing, depolarizing, and pure damping channels. Decoherence reduces the sensitivity but our scheme remains superior over several reference schemes with states such as maximally entangled states and product states. For small cluster states and fixed evolution time… Show more

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Cited by 34 publications
(31 citation statements)
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“…On the other hand , however, interaction between a system and an environment is unavoidable in reality, and the quantum decoherence induced by such interactions may decrease the QFI and destroy the quantum entanglement in the probe system exploited to improve the precision. In this regard, It has been shown that the interaction between a system and an environment usually makes the measurements noisy, which in turn degrades the estimation precision [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand , however, interaction between a system and an environment is unavoidable in reality, and the quantum decoherence induced by such interactions may decrease the QFI and destroy the quantum entanglement in the probe system exploited to improve the precision. In this regard, It has been shown that the interaction between a system and an environment usually makes the measurements noisy, which in turn degrades the estimation precision [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”
Section: Introductionmentioning
confidence: 99%
“…On the one hand, optimal states for finite N in the standard scenario are unknown, and it is not known whether states other than the SSS are optimal in the asymptotic case. On the other hand, beyond the standard scenario where one considers different kinds of noise models (e.g., depolarizing rather than dephasing noise), or different Hamiltonians [23], basically nothing is known about optimal states be it for finite N or in the asymptotic limit (an exception is transversal noise considered in [14]).…”
Section: Introductionmentioning
confidence: 99%
“…Current research on linear interferometers is directed at the search for optimal input states and output measurements [2][3][4][5][6][7][8][9][10][11][12], adaptive phase measurement schemes [13][14][15][16], and the influence of particle losses [17][18][19]. Several proof-ofprinciple experiments reaching a sub shot-noise sensitivity have been performed, for a fixed number of particles with photons [20][21][22][23][24] and ions [25], while squeezed states for interferometry with a non-fixed number of particles have been prepared with Bose-Einstein-condensates [26][27][28][29][30], atoms at room temperature [31] and light [32,33].…”
Section: Introductionmentioning
confidence: 99%