Approximate Private Quantum Channels on Fermionic Gaussian Systems

The private quantum channel (PQC) maps any state to the maximally mixed for discrete as well bosonic Gaussian systems, and it has fundamental meaning on cryptographic tasks capacity problems. In this paper, we primally introduce a notion of approximate (ε-PQC) fermionic systems (i.e., ε-FPQC), construct its explicit form (Gaussian) channel. First all, suggest general structure ε-FPQC with respect Schatten p-norm class, then give an proof statement in trace norm case. addition, study that cardinality set unitary operators agrees condition This result may birth intuition construction emerging communication or computing systems.