Steering and Correlations for a Single Qudit State on the Example of Spin j =3/2

2015/03/08 by V. I. Manʹko, V. I. Man'ko, L. A. Markovich
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Combinatorics #Computer science #Mathematics #Physics #Probabilistic logic #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Qubit #Spin (aerodynamics) #State (computer science) #Statistical physics #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1007/s10946-015-9508-x

7 pages, 2 figures

arxiv created 2015/03/08 · openalex publication_date 2015/07/01 · arxiv updated 2016/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The phenomenon of quantum steering and probabilistic meaning of the correlations are discussed for the state of the single qudit. The method of qubit portrait of the qudit states is used to extend the known steering detection inequality to the system without subsystems. The example of the X-state with j=3/2 is studied in detail.

Citations

• Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Experimental EPR-steering using Bell-local states
• Separability Criterion for Density Matrices
• Generalized Qubit Portrait of the Qutrit-State Density Matrix
• Discussion of Probability Relations between Separated Systems
• Subadditivity Condition for Spin Tomograms and Density Matrices of Arbitrary Composite and Noncomposite Qudit Systems
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Steering, Entanglement, Nonlocality, and the Einstein-Podolsky-Rosen Paradox
• Tomographic and Improved Subadditivity Conditions for Two Qubits and a Qudit with j = 3/2
• Multiqubit spin