A quantum stochastic product is a binary operation on the convex set of states (density operators) of a quantum system preserving the convex structure. We review the notion of twirled product of quantum states, a group-theoretical construction yielding a remarkable class of group-covariant associative stochastic products. In the case where the relevant group is abelian, we then realize the twirled product in terms of the covariant symbols associated with the quantum states involved in the product. Finally, the special case of the twirled product associated with the group of phase-space translations is considered.
Twirled Products and Group-Covariant Symbols / Aniello, P.. - 14071 LNCS:(2023), pp. 507-515. [10.1007/978-3-031-38271-0_50]
Twirled Products and Group-Covariant Symbols
Aniello P.
Primo
2023
Abstract
A quantum stochastic product is a binary operation on the convex set of states (density operators) of a quantum system preserving the convex structure. We review the notion of twirled product of quantum states, a group-theoretical construction yielding a remarkable class of group-covariant associative stochastic products. In the case where the relevant group is abelian, we then realize the twirled product in terms of the covariant symbols associated with the quantum states involved in the product. Finally, the special case of the twirled product associated with the group of phase-space translations is considered.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
