Half a state, half an operator: a general formulation of stators

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.

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Cited by in corpus (10)

• Simulating Lattice Gauge Theories within Quantum Technologies
• Digital lattice gauge theories
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Digital quantum simulation of lattice gauge theories in three spatial dimensions
• Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
• Photon-mediated Stroboscopic Quantum Simulation of a ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Simulating 2+1d ${\mathbb{Z}}_3$ lattice gauge theory with iPEPS
• Duality as a Feasible Physical Transformation
• Local Manipulation and Measurement of Nonlocal Many-Body Operators in Lattice Gauge Theory Quantum Simulators
• Tunable photon-mediated interactions between spin-1 systems