Experimental SWAP test of infinite dimensional quantum states
Abstract
Efficient overlap estimation of highdimensional quantum states is an important task in quantum information and a core element in computational speedups of quantum machine learning. Here we experimentally demonstrate the SWAP test that measures the overlap of two motional states in a system of trapped $^{171}\mathrm{Yb}^+$ ions. To illustrate the versatility of our implementation, we report the overlap measurement of a variety of quantum states: Fock states, coherent states, squeezed vacuum states, and cat states. We highlight applications of the SWAP test by measuring the purity of mixed states. Our results enable quantum information processing with high dimensional quantum states.
 Publication:

arXiv eprints
 Pub Date:
 March 2021
 arXiv:
 arXiv:2103.10219
 Bibcode:
 2021arXiv210310219N
 Keywords:

 Quantum Physics;
 Physics  Atomic Physics
 EPrint:
 9 pages, 4 figures