Deterministic preparation of supersinglets with collective spin projections

Ilo-Okeke, Ebubechukwu O.; Ji, Yangxu; Chen, Ping; Mao, Yuping; Kondappan, Manikandan; Ivannikov, Valentin; Xiao, Yanhong; Byrnes, Tim

doi:10.1103/physreva.106.033314

Cited by 4 publications

(1 citation statement)

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“…In this way, effectively the photon number distribution is squeezed and one obtains a more accurate measurement of m z from (18). The precise understanding of QND measurements may allow for novel applications beyond squeezing and precision measurements [37][38][39]. One example is in re-alizing imaginary time evolution, where it was shown that combining QND measurements with a adaptive unitary can deterministically prepare eigenstates of various Hamiltonians, including cluster states [38,39].…”

Section: Discussionmentioning

confidence: 99%

Measurement operator for quantum nondemolition measurements

Ilo-Okeke¹,

Chen²,

Li³

et al. 2023

Preprint

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We derive a measurement operator corresponding to a quantum nondemolition (QND) measurement of an atomic ensemble. The quantum measurement operator takes the form of a positive operator valued measure (POVM) and is valid for arbitrary interaction times, initial coherent state amplitudes, and final photon measurement outcomes. We analyze the dependence on various parameters and show that the effect of the QND measurement for short interaction times is to apply a Gaussian modulation of the initial state wavefunction. We derive approximate expressions for the POVM in various limits, such as the short interaction time regime and projective measurement limit. Several examples are shown which shows how spin squeezing and Schrodinger cat states can be generated using the measurement.

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