Analog Grover search by adiabatic passage in a cavity-laser-atom system

Abstract

A physical implementation of the adiabatic Grover search is theoretically investigated in a system of N identical three-level atoms trapped in a single mode cavity. Some of the atoms are marked through the presence of an energy gap between their two ground states. The search is controlled by two partially delayed lasers which allow a deterministic adiabatic transfer from an initially entangled state to the marked states. Pulse schemes are proposed to satisfy the Grover speedup either exactly or approximately, and the success rate of the search is calculated.

Quantum Control via Stimulated Raman User-defined Passage

“…Due to such advantages, STIRAP and its many variants have quickly evolved into general methods of quantum manipulation beyond the original usage for state transfer, and found wide applications in many subfields of physics [5], chemistry [6], and engineering [7]. One particular field is quantum information processing, where STIRAP has been proposed and demonstrated for implementing quantum gates [8][9][10][11][12][13][14][15][16], state preparation and transfer [17][18][19][20][21], quantum computation in extended Hilbert space [22,23], quantum memory [24,25], and so on. However, the demand of high precision and fidelity in this field, as well as in other fields where STIRAP may find applications [5], poses great challenges to the original format of STIRAP.…”