Quantifying the particle aspect of quantum systems
arXiv:1812.08656 · doi:10.1007/s12043-024-02865-5
Abstract
The possibility of a quantum system to exhibit properties that are akin to both the classically held notions of being a particle and a wave, is one of the most intriguing aspects of the quantum description of nature. These aspects have been instrumental in understanding paradigmatic natural phenomena as well as to provide nonclassical applications. A conceptual foundation for the wave nature of a quantum state has recently been presented, through the notion of quantum coherence. We introduce here a parallel notion for the particle nature of a quantum state of an arbitrary physical system. We provide elements of a resource theory of particleness, and give a quantification of the same. Finally, we provide evidence for a complementarity between the particleness thus introduced, and the coherence of an arbitrary quantum state.
7 pages, 2 figures; v2: complementarity with coherence added, few other small corrections; v3: presentation bettered, results unchanged; v4: compatible with journal version, results unchanged
References in corpus (14)
- Quantum entanglement
- Decoherence, einselection, and the quantum origins of the classical
- The Role of Relative Entropy in Quantum Information Theory
- 12-photon entanglement and scalable scattershot boson sampling with optimal entangled-photon pairs from parametric down-conversion
- Duality of Quantum Coherence and Path Distinguishability
- Monotones and invariants for multi-particle quantum states
- Reflections upon separability and distillability
- Channel Capacities versus Entanglement Measures in Multiparty Quantum States
- Hierarchies of Geometric Entanglement
- Stable macroscopic quantum superpositions
- Linking Measures for Macroscopic Quantum States via Photon-Spin Mapping
- Resource theory of quantum coherence with probabilistically non-distinguishable pointers and corresponding wave-particle duality
- Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers
- Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence