EPR steering certified two-mode squeezing quantum logic in atomic mechanical oscillators

Shau-Yu Lan^1*

¹Physics, Nanyang Technological University, Singapore, Singapore

* Presenter:Shau-Yu Lan, email:sylan@ntu.edu.sg

Two-mode squeezed states, known as the continuous‐variable version of entangled states by harnessing the Heisenberg uncertainty principle to create bipartite quantum correlations, are key ingredients in quantum information processing and metrology. Recently, continuous‐variable quantum computing with the vibrational modes of trapped atoms has emerged with significant progress, featuring a high degree of control in hybridising with spin qubits. Creating a two-mode squeezed state in such a platform could enable applications that are only viable with photons. Here, we experimentally demonstrate a two‐mode squeezing gate by employing trapped atoms in a two‐dimensional optical lattice as two‐mode quantum registers. The gate is generated by a controlled projection operation conditioned on the relative phase of two independent squeezed states. The individual squeezing is created by sudden jumps of the oscillators’ frequencies, allowing us to generate the two‐mode squeezed state at a rate within a fraction of the oscillation frequency. We validate the state by Einstein‐Podolsky‐Rosen (EPR) entanglement steering criteria and Fock state analysis. Our results can be applied in other mechanical oscillators, such as ions and nano‐mechanics, and establish a step towards full stack continuous‐variable quantum information with trapped atoms.

Keywords: Two-mode squeezed state, Quantum harmonic oscillators, Quantum optics