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Prepare-and-Send Quantum Fully Homomorphic Encryption: Difference between revisions
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Prepare-and-Send Quantum Fully Homomorphic Encryption (edit)
Revision as of 21:45, 18 September 2018
, 18 September 2018→Stage 1 Client’s Preparation
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## Choose p[j] | ## Choose p[j] | ||
## Perform Bell Measurement on jth pair with an extra (P†)p operation, get outcomes (x[j],z[j]) | ## Perform Bell Measurement on jth pair with an extra (P†)p operation, get outcomes (x[j],z[j]) | ||
## Thus, new EPR pairs are<br/> | ## Thus, new EPR pairs are{missing math}<br/>If (sk = 0) then {(b1,b2),(b2,b3),...,(b4m−1,b4m)}<br/> | ||
*If (sk = 1) then {(b1,b3),(b2,b4),...,(b4m−2,b4m)}<br/> | *If (sk = 1) then {(b1,b3),(b2,b4),...,(b4m−2,b4m)}<br/> | ||
*Denote the 2m entangled pairs be denoted by {(s1,t1),(s2,t2),...,(s2m,t2m)}, such that<br/> | *Denote the 2m entangled pairs be denoted by {(s1,t1),(s2,t2),...,(s2m,t2m)}, such that<br/> | ||
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**The quantum state of gadget can be written as {missing math} | **The quantum state of gadget can be written as {missing math} | ||
# Encrypt (x[j],z[j]), p[j] for all j and sk using pki+1. Resulting Gadget is the classical-quantum (CQ) state,{missing math} | # Encrypt (x[j],z[j]), p[j] for all j and sk using pki+1. Resulting Gadget is the classical-quantum (CQ) state,{missing math} | ||
=== Stage 2 Server’s Computation=== | === Stage 2 Server’s Computation=== | ||