Measurement Device Independent Quantum Digital Signature (MDI-QDS): Difference between revisions

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==Outline==
==Outline==
Quantum Digital Signature protocols can be separated into two stages: the distribution stage, where quantum public keys are sent to all recipients, and the messaging stage, where classical messages are sent and verified. Here, we take the case of three parties, one sender (referred to as seller) and two receivers (buyer and verifier) sharing a one bit message.\newline
Quantum Digital Signature protocols can be separated into two stages: the distribution stage, where quantum public keys are sent to all recipients, and the messaging stage, where classical messages are sent and verified. Here, we take the case of three parties, one sender (referred to as seller) and two receivers (buyer and verifier) sharing a one bit message.<br/>
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 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 is based on MDI-QKD but consists of fewer steps (only quantum communication) and can be divided into the following steps:
*'''MDI-KGP:''' MDI-KGP is based on MDI-QKD but consists of fewer steps (only quantum communication) and can be divided into the following steps (for detailed description, see [[Measurement Device-Independent Quantum Key Distribution (MDI-QKD)|MDI-QKD]]):
**''State Preparation:''
**''State Preparation''
**''Measurement:''
**''Measurement''
**''Sifting:''
**''Sifting''
*'''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:
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