An Inequality for Entangled Qutrits in SU(3) basis
arXiv:2407.19381 · doi:10.1007/s11128-024-04477-9
Abstract
It is well-known from the representation theory of particle physics that the tensor product of two fundamental representation of SU(2) and SU(3) group can be decomposed to obtain the desired spectrum of the physical states. In this paper, we apply this tenet in case of two {\it non-local} qubits and qutrits, which leads the complete spectrum of their entangled states in their respective basis. For qutrit system, the study of their properties reveals the existence of a new inequality, in addition to usual Bell-CHSH type inequality, which is significant from the experimental point of view.
14 pages, Replaces the withdrawn manuscript (arXiv:quant-ph:1911.03628)
References in corpus (18)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Bell inequalities for arbitrarily high dimensional systems
- Quantum teleportation in high dimensions
- Quantum non-locality in two three-level systems
- Experimental high-dimensional quantum teleportation
- A generalized Pancharatnam geometric phase formula for three level systems
- Qutrit Entanglement
- Geometry of the generalized Bloch sphere for qutrits
- Geometry of Quantum Computation with Qutrits
- Three-dimensional visualization of a qutrit
- Classification and Quantification of Entangled Bipartite Qutrit Pure States
- Comparison of Electromagnetically Induced Transparency in lambda, cascade and vee three-level systems
- Bloch space structure, the qutrit wave function and atom-field entanglement in three-level systems
- On the SU(3) parametrization of qutrits
- Resonance fluorescence in , and -- type three-level configurations
- A unified approach to -, - and -type systems with one continuum