Realizability Assessment of Probabilistic Quantum Cnot Gate Based on Experimental Implementation

Abstract

Generalized behavior of a nondeterministic CNOT gate based on physical implementation is subject of this work. We define an abstract probabilistic model of the CNOT gate and describe a general proposition of realizability assessment based on experimental features. Theoretical results are directly confronted to experimental realization. Two CNOT models are brought out for this purpose.

Physical feasibility of QKD based on probabilistic quantum circuits

“…In the literature, the best SPSs that we have come across are related to the work of McCusker et al [18], where the experimental setup deterministically creates photon when using spontaneous down conversion and providing P SPS ≃ 0.7. Another Gates [13,15,16,19] errors of the BS ξ 1 = 10 −3.2 , ξ 2 = 10 −3.4…”

“…In the following, we detail how we modelled the transfer matrices of (5) and (6) while considering realistic errors [19].…”

“…3a) and inverted CNOT (ICNOT) (Fig. 3b) , respectively, and are expressed as follows [19]: (18) where p = p i 1 ≤ i ≤ 4 is the probability amplitude of realising correctly the CNOT function, and ε = ε j 1 ≤ j ≤ 12 is the probability amplitude of ending in an erroneous output state.…”