An Experimental Protocol to Realize Qudits Using Single Atoms in an Optical Lattice

Aadit Jain, Elisha Haber, Rachel Stromswold, Jessica Jenick, Virginia Billings, Tomoki Imura, Nicholas Bigelow, University of Rochester, NY 14627. Qudits are n>2 quantum systems and therefore possess an exponentially larger database for storing information and reduce the circuit complexity compared to qubits. We propose a cold atom qudit platform where an array of qudits is realized in a 3D optical lattice where the 2D of lattice sites available to each atoms contains (~ 2¹²) available states. The lattice works as a quantum register for qudits where coherent qudit operations can be performed by tuning the tunneling rate between sites. Entangling gates can be achieved by lowering the lattice barriers between neighboring qudits, and measurements can be carried out using a quantum gas microscope. We develop an experimentally feasible protocol to implement Grover's search algorithm applied to a Boolean SAT problem.