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

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The [https://arxiv.org/pdf/1704.07178.pdf example protocol] achieves the functionality of [[Quantum Digital Signature]] (QDS) by allowing exchange of messages using the procedure studied in [[Prepare and Measure Quantum Digital Signature]] but without trusting one's measurement devices, thus making the protocol device independent. It uses the security proof of [[MDI-QKD]] to the QDS scheme for insecure channels [https://arxiv.org/abs/1507.02975]. This scheme involves three parties and is designed for signing one bit and the authors suggest that longer messages can be signed by iterating the same process. All three [[Quantum Digital Signature#Properties|properties]] that define QDS i.e. non-repudiation, transferability and unforgeability are implied by the protocol.</br></br>
The [https://arxiv.org/pdf/1704.07178.pdf example protocol] achieves the functionality of [[Quantum Digital Signature]] (QDS) by allowing exchange of messages using the procedure studied in [[Prepare and Measure Quantum Digital Signature]] but without trusting one's measurement devices, thus making the protocol device independent. It uses the security proof of [[MDI-QKD]] to the QDS scheme for insecure channels [[Measurement Device Independent Quantum Digital Signature (MDI-QDS)#References|(1)]]. This scheme involves three parties and is designed for signing one bit and the authors suggest that longer messages can be signed by iterating the same process. All three [[Quantum Digital Signature#Properties|properties]] that define QDS i.e. non-repudiation, transferability and unforgeability are implied by the protocol.</br></br>
'''Tags:''' [[:Category: Multi Party Protocols|Multi Party (three)]], [[:Category: Quantum Enhanced Classical Functionality|Quantum Enhanced Classical Functionality]], [[:Category: Specific Task|Specific Task]], [[Quantum Digital Signature]] (QDS), [[Prepare and Send Quantum Digital Signature|Prepare and Measure QDS]]
'''Tags:''' [[:Category: Multi Party Protocols|Multi Party (three)]], [[:Category: Quantum Enhanced Classical Functionality|Quantum Enhanced Classical Functionality]], [[:Category: Specific Task|Specific Task]], [[Quantum Digital Signature]] (QDS), [[Prepare and Send Quantum Digital Signature|Prepare and Measure QDS]]
[[Category: Multi Party]][[Category: Quantum Enhanced Classical Functionality]][[Category: Specific Task]]
[[Category: Multi Party]][[Category: Quantum Enhanced Classical Functionality]][[Category: Specific Task]]
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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.<br/>
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 [https://arxiv.org/abs/1507.02975] 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, individually, to generate two different [[Correlation in Qubits|correlated]] keys, each. 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, individually, to generate two different [[Correlation in Qubits|correlated]] keys, each. 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 consists of the following steps  (only quantum communication part) from MDI-QKD protocol in [[Measurement Device Independent Quantum Digital Signature (MDI-QDS)#References|(2)]]:</br>
*'''MDI-KGP:''' MDI-KGP consists of the following steps  (only quantum communication part) from MDI-QKD protocol in [[Measurement Device Independent Quantum Digital Signature (MDI-QDS)#References|(2)]]:</br>
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