| CPC H04L 9/3273 (2013.01) [H04L 9/085 (2013.01); H04L 9/0852 (2013.01)] | 13 Claims |

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1. A method for mutual authentication of between two quantum entities based on Measurement-Device-Independent Quantum Key Distribution (MDI-QKD), comprising:
configuring, at a first entity, a first quantum input form and configuring a second quantum input form by a second entity based on a shared authentication key which is shared in advance with each entity;
applying polarization modulation to the first and second configured quantum input forms;
transmitting the first and second quantum input forms to which the polarization modulation is has been applied to a quantum measurement device, wherein the quantum measurement device measures the first and second quantum input forms and produces measurement results and polarization modulation information;
transmitting the measurement results and the polarization modulation information to the first and second entities; and
authenticating by the first and second entity whether their counterpart entity correctly configured the quantum input form according to the shared authentication key using the measurement result and polarization modulation information received from the quantum measurement device,
wherein configuring the quantum input form comprises configuring a random quantum state depending on a result value of a predetermined operation (Tj) performed on a preset length of an authentication key in the shared authentication key, the predetermined operation being agreed on between the users, wherein Tj is determined by Tj=ak4j+1⊕ak4j+2⊕ak4j+3⊕ak4j+4 wherein the authentication key AK is determined by AK=(ak1, ak2, . . . akn), aki∈{0, 1} wherein the quantum input form is configured with a single position when Tj is 0, and the quantum input form is configured with two positions when Tj is 1.
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