N-qubit states as points on the Bloch sphere

Abstract

We show how the Majorana representation can be used to express the pure states of an N-qubit system as points on the Bloch sphere. We compare this geometrical representation of N-qubit states with an alternative one, proposed recently by the present authors.

9 pages, 2 figures, contribution to CEWQO 2009 proceedings. v2: Minor changes, published version

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• Classifying Novel Phases of Spinor Atoms
• Optimal state for keeping reference frames aligned and the Platonic solids
• Classifying Vortices in S=3 Bose-Einstein Condensates
• Inert states of spin-S systems
• Low energy dynamics of spinor condensates
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• Two and Three-Qubits Geometry, Quaternionic and Octonionic Conformal Maps, and Intertwining Stereographic Projection
• The Degree of Quantum Contextuality in terms of Concurrence for the KCBS Scenario
• Relation Between Stereographic Projection and Concurrence Measure in Bipartite Pure States
• Geometric decomposition of geodesics and null phase curves using Majorana star representation
• Majorana stellar representation for mixed-spin $(s,\frac{1}{2})$ systems
• Visualizing Quantum States: A Pilot Study on Problem Solving in Quantum Information Science Education
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