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Mixed-state entanglement from local randomized measurements
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We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by post-processing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al, Science 364, 260 (2019)].
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Cited by 2 Pith papers
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Scrambling Enabled Entropy Accumulation in Open Quantum Systems
A weak probe coupled to an open quantum system accumulates a finite Rényi entropy increase only when the system is in the scrambling phase, vanishing in the dissipative phase as the probe coupling goes to zero.
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Continuous-variable state moments from randomized homodyne and heterodyne measurements
Randomized homodyne and heterodyne measurements are processed into shadow estimators of continuous-variable state moments, enabling entanglement and loss detection with a few thousand samples.
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