Verification of phased Dicke states
- URL: http://arxiv.org/abs/2004.06873v2
- Date: Wed, 10 Feb 2021 08:56:31 GMT
- Title: Verification of phased Dicke states
- Authors: Zihao Li, Yun-Guang Han, Hao-Feng Sun, Jiangwei Shang, and Huangjun
Zhu
- Abstract summary: Dicke states are examples of quantum states with genuine multipartite entanglement.
Phased Dicke states are a generalization of Dicke states and include antisymmetric basis states.
We propose practical and efficient protocols for verifying phased Dicke states.
- Score: 2.4173125243170377
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Dicke states are typical examples of quantum states with genuine multipartite
entanglement. They are valuable resources in many quantum information
processing tasks, including multiparty quantum communication and quantum
metrology. Phased Dicke states are a generalization of Dicke states and include
antisymmetric basis states as a special example. These states are useful in
atomic and molecular physics besides quantum information processing. Here we
propose practical and efficient protocols based on adaptive local projective
measurements for verifying all phased Dicke states, including $W$ states and
qudit Dicke states. To verify any $n$-partite phased Dicke state within
infidelity $\epsilon$ and significance level $\delta$, the number of tests
required is only $O(n\epsilon^{-1}\ln\delta^{-1})$, which is linear in $n$ and
is exponentially more efficient than traditional tomographic approaches. In the
case of $W$ states, the number of tests can be further reduced to
$O(\sqrt{n}\,\epsilon^{-1}\ln\delta^{-1})$. Moreover, we construct an optimal
protocol for any antisymmetric basis state; the number of tests required
decreases (rather than increases) monotonically with $n$. This is the only
optimal protocol known for multipartite nonstabilizer states.
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