Craft Food Diversity

Quantum Gates and Decoherence

“…Although this is not completely impossible, it is very tedious indeed. Moreover, the Euler decomposition has only been calculated for N = 3, 4 [21]. An alternative way has been developed in [22] and uses well-known techniques from bosonic operator algebras.…”

Overview of the phase space formulation of quantum mechanics with application to quantum technologies

“…For examples of such operators and the generation of generalized coherent states and the generation of generalized displacement operators for different systems, see for example References [31,45,46,47,36,48,49]. Note that when generating quasiprobability distribution functions, any suitable generalized displacement operator can produce an informationally complete function, however when considering just the Weyl characteristic function much more care needs to be taken in considering the correct operator, [38] since it is crucial to determine a generalized displacement operator that generates an informationally complete function, where the inverse transform to the operator exists, such that χ (s)…”

“…Similarly Π i (Ω i ) is the kernel for each individual system. The full composite Wigner function is then generated by using Equation (48) in Equation (38).…”