PIRSA:13030112

The Quantum Steering Ellipsoid

Jevtic, S. (2013). The Quantum Steering Ellipsoid. Perimeter Institute. https://pirsa.org/13030112

Jevtic, Sania. The Quantum Steering Ellipsoid. Perimeter Institute, Mar. 26, 2013, https://pirsa.org/13030112 

          @misc{ pirsa_PIRSA:13030112,
            doi = {10.48660/13030112},
            url = {https://pirsa.org/13030112},
            author = {Jevtic, Sania},
            keywords = {Quantum Foundations},
            language = {en},
            title = {The Quantum Steering Ellipsoid},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {mar},
            note = {PIRSA:13030112 see, \url{https://pirsa.org}}
          }

Sania Jevtic Imperial College London

DOI 10.48660/13030112
Collection
Talk Type Scientific Series
Subject

Abstract

A quantum steering ellipsoid may be used to faithfully represent a density matrix ? describing two qubits A and B. The ellipsoid is the geometric set of states that Bob can steer Alice's qubit to when he implements all possible measurements on his qubit. We show how the correlations between qubits A and B manifest themselves in this paradigm, giving simple conditions for when the state is entangled, or has discord. We will also present novel features of the two qubit state that are revealed by the steering ellipsoid formalism, and show that a state corresponding to an ellipsoid with non-zero volume contains a new type of correlation.