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.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.

arXiv:2103.09932Mar 17, 20210 citations

Quantum State Sharing with Continuous Variables

Tomáš Tyc, Barry C. Sanders, Thomas Symul +3 more

IMPERIAL COLLEGE PRESS eBooksFeb 1, 20072 citations

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.