Understanding Quantum Entanglement: Qubits, Rebits and the Quaternionic Approach

Abstract

It has been recently pointed out by Caves, Fuchs, and Rungta that real quantum mechanics (that is, quantum mechanics defined over real vector spaces provides an interesting foil theory whose study may shed some light on just which particular aspects of quantum entanglement are unique to standard quantum theory, and which ones are more generic over other physical theories endowed with this phenomenon. Following this work, we discuss some entanglement properties of two-rebits systems, making a comparison with the basic properties of two-qubits systems, i.e., the ones described by standard complex quantum mechanics. We also discuss the use of quaternionic quantum mechanics as applied to the phenomenon of entanglement.

References in corpus (5)

• Information and Computation: Classical and Quantum Aspects
• Induced measures in the space of mixed quantum states
• Maximizing the entanglement of two mixed qubits
• On the Entanglement Properties of Two-Rebits Systems
• Parallel transport in an entangled ring

Cited by in corpus (10)

• Black Holes, Qubits and Octonions
• Estimation of pure qubit states with collective and individual measurements
• Resource Theory of Imaginarity: New Distributed Scenarios
• The rebit three-tangle and its relation to two-qubit entanglement
• Nonlocal Advantages of Quantum Imaginarity
• Experimental entanglement characterization of two-rebit states
• Generalized Two-Qubit Whole and Half Hilbert-Schmidt Separability Probabilities
• Optimal control of non-Markovian dynamics in a single-mode cavity strongly coupled to an inhomogeneously broadened spin ensemble
• Master Lovas-Andai and Equivalent Formulas Verifying the $\frac{8}{33}$ Two-Qubit Hilbert-Schmidt Separability Probability and Companion Rational-Valued Conjectures
• Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder