Quantum macroscopicity versus distillation of macroscopic superpositions

Abstract

We suggest a way to quantify a type of macroscopic entanglement via distillation of Greenberger-Horne-Zeilinger states by local operations and classical communication. We analyze how this relates to an existing measure of quantum macroscopicity based on the quantum Fisher information in several examples. Both cluster states and Kitaev surface code states are found to not be macroscopically quantum but can be distilled into macroscopic superpositions. We look at these distillation protocols in more detail and ask whether they are robust to perturbations. One key result is that one-dimensional cluster states are not distilled robustly but higher-dimensional cluster states are.

8 pages, 4 figures; revised presentation, more examples and stronger results about robustness

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• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Disturbance-Based Measure of Macroscopic Coherence
• Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions
• Scaling of macroscopic superpositions close to a quantum phase transition
• Quantum error correction assisted quantum metrology without entanglement
• Detecting Macroscopic Indefiniteness of Cat States in Bosonic Interferometers
• General measure for macroscopic quantum states beyond "dead and alive"
• Coherence Based Characterization of Macroscopic Quantumness
• Macroscopic quantumness of optically conditioned mechanical systems