Quantifying Coherence and Entanglement via Simple Measurements
arXiv:1707.09928
Abstract
Coherence and entanglement are fundamental properties of quantum systems, promising to power the near future quantum computers, sensors and simulators. Yet, their experimental detection is challenging, usually requiring full reconstruction of the system state. We show that one can extract quantitative bounds to the relative entropy of coherence and the coherent information, coherence and entanglement quantifiers respectively, by a limited number of purity measurements. The scheme is readily implementable with current technology to verify quantum computations in large scale registers, without carrying out expensive state tomography.
5 pages plus appendix
Cited by in corpus (7)
- Variational Quantum State Diagonalization
- Entanglement spectroscopy with a depth-two quantum circuit
- Detecting coherence via spectrum estimation
- Efficient estimation of multipartite quantum coherence
- Analytic Semi-device-independent Entanglement Quantification for Bipartite Quantum States
- Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner
- Weaving and neural complexity in symmetric quantum states