Gottesman and Chuang Quantum Digital Signature: Difference between revisions

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The [https://arxiv.org/abs/quant-ph/0105032 example protocol] achieves the functionality of [[Quantum Digital Signature|(Quantum) Digital Signatures (QDS)]] allowing the exchange of classical messages from sender to multiple recipients, with a guarantee that the signature has come from a genuine sender. This protocol achieves all the [[Quantum Digital Signature#Properties|properties]] of QDS. Further this protocol requires the parties to store quantum states for comparison at a later stage thus necessitating the requirement of quantum memory. This protocol is based quantum public key cryptography.<br/><br/>
The [https://arxiv.org/abs/quant-ph/0105032 example protocol] achieves the functionality of [[Quantum Digital Signature|(Quantum) Digital Signatures (QDS)]] allowing the exchange of classical messages from sender to multiple recipients, with a guarantee that the signature has come from a genuine sender. This protocol achieves all the [[Quantum Digital Signature#Properties|properties]] of QDS. Further it requires the parties to store quantum states for comparison at a later stage thus necessitating the requirement of quantum memory. This protocol is based quantum public key cryptography.<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]], [[Prepare and Measure Quantum Digital Signature]], [[Measurement Device Independent Quantum Digital Signature (MDI-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]], [[Prepare and Measure Quantum Digital Signature]], [[Measurement Device Independent Quantum Digital Signature (MDI-QDS)]]
[[Category:Multi Party Protocols]][[Category:Quantum Enhanced Classical Functionality]][[Category:Specific Task]]
[[Category:Multi Party Protocols]][[Category:Quantum Enhanced Classical Functionality]][[Category:Specific Task]]
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###For j=1,2
###For j=1,2
####Seller sends <math>|f(k_m^i)^j\rangle</math> to buyer and verifier
####Seller sends <math>|f(k_m^i)^j\rangle</math> to buyer and verifier
####Buyer performs '''QSWAP TEST'''(<math>|f(k_m^i)^1\rangle, |f(k_m^i)^2\rangle</math>)
####Buyer performs '''QSWAP TEST'''<math>|f(k_m^i)^1\rangle, |f(k_m^i)^2\rangle</math>
####If QSWAP TEST= '''False''', Buyer '''aborts'''
####If QSWAP TEST= '''False''', Buyer '''aborts'''
####If QSWAP TEST= '''True''', Buyer sends <math>|f(k_m^i)^{b}\rangle=|f(k_m^i)^2\rangle=|f(k_m^i)^1\rangle</math> to verifier
####If QSWAP TEST= '''True''', Buyer sends <math>|f(k_m^i)^{b}\rangle=|f(k_m^i)^2\rangle=|f(k_m^i)^1\rangle</math> to verifier
####Verifier performs similar steps and sends <math>|f(k_m^i)^{v}\rangle=|f(k_m^i)^2\rangle=|f(k_m^i)^1\rangle</math> to buyer
####Verifier performs similar steps and sends <math>|f(k_m^i)^{v}\rangle=|f(k_m^i)^2\rangle=|f(k_m^i)^1\rangle</math> to buyer
####Both perform '''QSWAP TEST'''<math>(|f(k_m^i)^{b}\rangle,|f(k_m^i)^{v}\rangle</math>)
####Both perform '''QSWAP TEST'''<math>(|f(k_m^i)^{b}\rangle,|f(k_m^i)^{v}\rangle</math>  
####If QSWAP TEST= '''False''', protocol aborted
####If QSWAP TEST= '''False''', protocol aborted
####If QSWAP TEST= '''True''', distribution successful
####If QSWAP TEST= '''True''', distribution successful
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