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Selective entanglement breaking

Yuma Kinoshita·Ryo Namiki·Takashi Yamamoto·Masato Koashi·Nobuyuki Imoto
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Abstract

We discuss the cases where local decoherence selectively degrades one type of entanglement more than other types. A typical case is called state ordering change, in which two input states with different amounts of entanglement undergoes a local decoherence and the state with the larger entanglement results in an output state with less entanglement than the other output state. We are also interested in a special case where the state with the larger entanglement evolves to a separable state while the other output state is still entangled, which we call selective entanglement breaking. For three-level or larger systems, it is easy to find examples of the state ordering change and the selective entanglement breaking, but for two-level systems it is not trivial whether such situations exist. We present a new strategy to construct examples of two-qubit states exhibiting the selective entanglement breaking regardless of entanglement measure. We also give a more striking example of the selective entanglement breaking in which the less entangled input state has only an infinitesimal amount of entanglement.

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Yuma Kinoshita, Ryo Namiki, Takashi Yamamoto, Masato Koashi, Nobuyuki Imoto. 2006-11-16. Selective entanglement breaking. https://doi.org/10.1103/physreva.75.032307

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