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arXiv · 2103.09932

Entanglement trimming in stabilizer formalism

Changchun Zhong·Yat Wong·Liang Jiang
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Abstract

Suppose in a quantum network, there are $n$ qubits hold by Alice, Bob and Charlie, denoted by systems $A$, $B$ and $C$, respectively. We require the qubits to be described by a stabilizer state and assume the system $A$ is entangled with the combined system $BC$. An interesting question to ask is when it is possible to transfer all the entanglement to system $A$ and $B$ by local operation on $C$ and classical communication to $AB$, namely \textit{entanglement trimming}. We find a necessary and sufficient condition and prove constructively for this entanglement trimming, which we name it as "the bigger man principle". This principle is then extended to qudit with square-free dimension and continuous variable stabilizer states.

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Changchun Zhong, Yat Wong, Liang Jiang. 2021-03-17. Entanglement trimming in stabilizer formalism. https://arxiv.org/abs/2103.09932

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