Half a state, half an operator: a general formulation of stators. (16th January 2017)

• Record Type: Journal Article
• Authors: Zohar, Erez
• Is Part Of: Journal of physics. Volume 50:Number 8(2017)
• Publication Date: 2017-01-16
• Subjects: quantum simulation -- quantum information -- quantum mechanics -- group theory -- symmetry; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa55ef
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Stators, which may be intuitively defined as 'half states, half operators' are mathematical objects which act on two Hilbert spaces and utilize entanglement to create remote operations and exchange information between two physical systems. In particular, they allow to induce effective dynamics on one physical system by acting on the other one, given they have properly been connected with the right stator. In this work, the concept of stators is generalized and formalized in a way that allows the utilization of stators for some physical problems based on symmetry groups, and in particular digital quantum simulation.