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The following protocol consists of only quantum communication in the distribution phase and only classical communication in the messaging phase. It uses the protocol for QDS with insecure channels [[Measurement Device Independent Quantum Digital Signature (MDI-QDS)#References|(1)]] and replaces KGP (Key generation protocol) with Measurement Device Independent KGP (MDI-KGP). Distribution phase can be divided into the following steps: | The following protocol consists of only quantum communication in the distribution phase and only classical communication in the messaging phase. It uses the protocol for QDS with insecure channels [[Measurement Device Independent Quantum Digital Signature (MDI-QDS)#References|(1)]] and replaces KGP (Key generation protocol) with Measurement Device Independent KGP (MDI-KGP). Distribution phase can be divided into the following steps: | ||
*'''Key Distribution:''' Seller uses MDI-KGP twice with Buyer and Verifier, each, to generate four different correlated(?) keys. Both Seller and Receiver have two keys each, one for message bit 0 and one for message bit 1. Sender's signature for a particular message bit is a conjugation of corresponding key for message bit sent to the Buyer and the Verifier. | *'''Key Distribution:''' Seller uses MDI-KGP twice with Buyer and Verifier, each, to generate four different correlated(?) keys. Both Seller and Receiver have two keys each, one for message bit 0 and one for message bit 1. Sender's signature for a particular message bit is a conjugation of corresponding key for message bit sent to the Buyer and the Verifier. | ||
*'''MDI-KGP:''' MDI-KGP | *'''MDI-KGP:''' MDI-KGP consists of the following steps from MDI-QKD (only quantum communication part): | ||
**''State Preparation'' | **''State Preparation'' | ||
**''Measurement'' | **''Measurement'' | ||
**''Sifting'' | **''Sifting'' | ||
For detailed description, see [[Measurement Device-Independent Quantum Key Distribution (MDI-QKD)|MDI-QKD]]). | |||
*'''Symmetrisation:''' Buyer and Verifier exchange half of their randomly chosen eliminated signature elements. This prevents a dishonest seller succeed in cheating by sending dissimilar public keys to the receiver and makes the protocol secure against repudiation. Thus ends the distribution phase. | *'''Symmetrisation:''' Buyer and Verifier exchange half of their randomly chosen eliminated signature elements. This prevents a dishonest seller succeed in cheating by sending dissimilar public keys to the receiver and makes the protocol secure against repudiation. Thus ends the distribution phase. | ||
Similarly, Messaging Phase is divided into the following steps: | Similarly, Messaging Phase is divided into the following steps: |