Table 1 Quantum computing gates and corresponding decryption operations.

From: Continuous-variable quantum computing on encrypted data

Gate

Correction

Z(T)

X(−Q)Z(−P)

X(T)

X(−Q)Z(−P)

U2(T)

X(−Q)Z(−2QTP)

U3(T)

X(−Q)Z(3Q2TP)U2(−3QT)

F

X(P)Z(−Q)

C Z

X1(−Q1)Z1(−Q2P1) X2(−Q2)Z2(−Q1P2)

  1. The decryption operations corresponding to each gate are listed, up to a phase, for the corresponding encryption operation D(Q, P) for single mode gates and D1(Q1, P1)D2(Q2, P2) for two-mode gates.