Toshiki Kobayashi, Rikizo Ikuta, Sahin Kaya Ozdemir, Mark Tame, Takashi Yamamoto, Masato Koashi, Nobuyuki Imoto
We determine the minimal number of qubits that are necessary to be accessed in order to transform Dicke states into other Dicke states. In general, the number of qubits in Dicke states cannot be increased via transformation gates by accessing only a single qubit, in direct contrast to other multipartite entangled states such as GHZ, W and cluster states. We construct a universal optimal gate which adds either spin-up qubits or spin-down qubits to any Dicke states by minimal access. We also show the existence of a universal gate which transforms any size of Dicke state as long as the gate has access to at least the required number of qubits for the transformation.
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http://arxiv.org/abs/1305.1130
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