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    Capacity of a simultaneous quantum secure direct communication scheme between the central party and other M parties

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    We analyze the capacity of a simultaneous quantum secure direct communication scheme between the central party and other MM parties via M+1M+1-particle GHZ states and swapping quantum entanglement. It is shown that the encoding scheme should be secret if other MM parties wants to transmit M+1M+1 bit classical messages to the center party secretly. However when the encoding scheme is announced publicly, we prove that the capacity of the scheme in transmitting the secret messages is 2 bits, no matter how big MM is.Comment: 3 page
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