Prepare-and-Send Quantum Fully Homomorphic Encryption: Difference between revisions

Prepare-and-Send Quantum Fully Homomorphic Encryption (edit)

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 ##	Choose p[j]
 ##	Perform Bell Measurement on jth pair with an extra (P†)p operation, get outcomes (x[j],z[j])
-##	Thus, new EPR pairs are{missing math}<br/>If (sk = 0) then {(b1,b2),(b2,b3),...,(b4m−1,b4m)}<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/>Denote the 2m entangled pairs be denoted by {(s1,t1),(s2,t2),...,(s2m,t2m)}, such that<br/>
-*If (sk = 1) then {(b1,b3),(b2,b4),...,(b4m−2,b4m)}<br/>
+###The classical information of gadget be g(sk)= ({(s1,t1),(s2,t2),...,(s2m,t2m),p,sk}.<br/>
-*Denote the 2m entangled pairs be denoted by {(s1,t1),(s2,t2),...,(s2m,t2m)}, such that<br/>
+###The quantum state of gadget can be written as {missing math}
-** The classical information of gadget be g(sk)= ({(s1,t1),(s2,t2),...,(s2m,t2m),p,sk}.<br/>
-**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}