Quantum Hypercube States
Abstract
We introduce quantum hypercube states, a class of continuous-variable quantum states that are generated as orthographic projections of hypercubes onto the quadrature phase-space of a bosonic mode. In addition to their interesting geometry, hypercube states display phase-space features much smaller than Planck's constant, and a large volume of Wigner-negativity. We theoretically show that these features make hypercube states sensitive to displacements at extremely small scales in a way that is surprisingly robust to initial thermal occupation and to small separation of the superposed state-components. In a high-temperature proof-of-principle optomechanics experiment we observe, and match to theory, the signature outer-edge vertex structure of hypercube states.
Cite
@article{arxiv.1811.03011,
title = {Quantum Hypercube States},
author = {L. A. Howard and T. J. Weinhold and F. Shahandeh and J. Combes and M. R. Vanner and A. G. White and M. Ringbauer},
journal= {arXiv preprint arXiv:1811.03011},
year = {2019}
}
Comments
Main consists of 5 pages and 5 figures. Supplementary material consists of 5 pages and 6 figures