Experimental entanglement characterization of two-rebit states
arXiv:2102.01450 · doi:10.1103/PhysRevA.103.L040402
Abstract
We characterize entanglement subject to its definition over real and complex, composite quantum systems. In particular, a method is established to assess quantum correlations with respect to a selected number system, illuminating the deeply rooted, yet rarely discussed question of why quantum states are described via complex numbers. With our experiment, we then realize two-photon polarization states that are entangled with respect to the notion of two rebits, comprising two two-level systems over real numbers. At the same time, the generated states are separable with respect to two complex qubits. Among other results, we reconstruct the best approximation of the generated states in terms of a real-valued, local expansion and show that this yields an incomplete description of our data. Conversely, the generated states are shown to be fully decomposable in terms of tensor-product states with complex wave functions. Thereby, we probe paradigms of quantum physics with modern theoretical tools and experimental platforms that are relevant for applications in quantum information science and technology and connected to the fundamentals of the quantum description of nature.
arXiv commentVersion close to published letter in PRA, including supplemental material
References in corpus (32)
- Quantum entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Entanglement detection
- Quantum inseparability as local pseudomixture
- Separability and entanglement of composite quantum systems
- Entanglement Witnesses in Spin Models
- Operational Resource Theory of Imaginarity
- Maximal Coherence and the Resource Theory of Purity
- Multipartite Entanglement Witnesses
- An Optimized Photon Pair Source for Quantum Circuits
- Wigner function negativity and contextuality in quantum computation on rebits
- Full multipartite entanglement of frequency comb Gaussian states
- Resource theory of imaginarity: Quantification and state conversion
- Division Algebras and Quantum Theory
- Necessary and sufficient conditions for bipartite entanglement
- Geometrical aspects of entanglement
- Simulating quantum systems using real Hilbert spaces
- Real-Vector-Space Quantum Theory with a Universal Quantum Bit
- High-performance source of spectrally pure, polarization entangled photon pairs based on hybrid integrated-bulk optics
- Entanglement Sharing in Real-Vector-Space Quantum Theory
- Quasiprobability representation of quantum coherence
- Synthesizing arbitrary two-photon polarization mixed states
- Representation of entanglement by negative quasi-probabilities
- Toolbox for reconstructing quantum theory from rules on information acquisition
- Separable approximations of density matrices of composite quantum systems
- A 2 rebit gate universal for quantum computing
- On the Entanglement Properties of Two-Rebits Systems
- Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincaré symmetry
- Understanding Quantum Entanglement: Qubits, Rebits and the Quaternionic Approach
- Experimental Reconstruction of Entanglement Quasiprobabilities
- Quantum simulation from the bottom up: the case of rebits
- Improving direct state measurements by using rebits in real enlarged Hilbert spaces
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- Detector entanglement: Quasidistributions for Bell-state measurements