Collective randomized measurements in quantum information processing
- URL: http://arxiv.org/abs/2309.10745v1
- Date: Tue, 19 Sep 2023 16:43:53 GMT
- Title: Collective randomized measurements in quantum information processing
- Authors: Satoya Imai, G\'eza T\'oth, Otfried G\"uhne
- Abstract summary: We introduce $textitcollective$ randomized measurements as a tool in quantum information processing.
We propose systematic approaches to characterize quantum entanglement in a collective-reference-frame-independent manner.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The concept of randomized measurements on individual particles has proven to
be useful for analyzing quantum systems and is central for methods like shadow
tomography of quantum states. We introduce $\textit{collective}$ randomized
measurements as a tool in quantum information processing. Our idea is to
perform measurements of collective angular momentum on a quantum system and
actively rotate the directions using simultaneous multilateral unitaries. Based
on the moments of the resulting probability distribution, we propose systematic
approaches to characterize quantum entanglement in a
collective-reference-frame-independent manner. First, we show that existing
spin-squeezing inequalities can be accessible in this scenario. Next, we
present an entanglement criterion based on three-body correlations, going
beyond spin-squeezing inequalities with two-body correlations. Finally, we
apply our method to characterize entanglement between spatially-separated two
ensembles.
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