Floquet-engineered quantum state manipulation in a noisy qubit

Abstract

Adiabatic evolution is a common strategy for manipulating quantum states and has been employed in diverse fields such as quantum simulation, computation and annealing. However, adiabatic evolution is inherently slow and therefore susceptible to decoherence. Existing methods for speeding up adiabatic evolution require complex many-body operators or are difficult to construct for multi-level systems. Using the tools of Floquet engineering, we design a scheme for high-fidelity quantum state manipulation, utilizing only the interactions available in the original Hamiltonian. We apply this approach to a qubit and experimentally demonstrate its performance with the electronic spin of a Nitrogen-vacancy center in diamond. Our Floquet-engineered protocol achieves state preparation fidelity of 0.994 ± 0.004, on the same level as the conventional fast-forward protocol, but is more robust to external noise acting on the qubit. Floquet engineering provides a powerful platform for high-fidelity quantum state manipulation in complex and noisy quantum systems.

Floquet-engineered quantum state transfer in spin chains

“…To address this issue, Petiziol et al [34,35] proposed a method to effectively replicate the dynamics of H cd t ð Þ by periodically modulating the parameters in the original Hamiltonian, which can nullify the need for the complicated terms not included in original quantum system. Similar ideas of accelerating adiabatic process were also recently reported based on Floquet-engineering techniques [36,37].…”

Swift heat transfer by fast-forward driving in open quantum systems

“…[47][48][49] that approximate FF protocols can be designed using high-frequency periodic driving in specific setups. Recently, a high-frequency FE-FF protocol was also realized in an experiment with NV centers in diamond to achieve high-fidelity state preparation in a qubit [47]. The advantages of this kind of approach range from experimental viability to robustness against environmental noise [50].…”

Robustness of STIRAP Shortcuts under Ornstein-Uhlenbeck Noise in the Energy Levels

“…Aside from these works, which concentrated on classical STIRAP, there were also a few studies that investigated the effect of dephasing in transitionless tracking STIRAP [24,29,38], where extra counterdiabatic terms were introduced in the Hamiltonian. Additionally, in a recent publication, the efficiency of a Floquet-engineered shortcut, which preserved the STIRAP framework, was studied in the presence of colored noise [39].…”

“…Both STIRAP shortcuts are obtained following the recipe described in [19,40]; the first shortcut is such that the mixing angle is a polynomial function of time, while the second one is derived from Gaussian STIRAP pulses. In both cases, the shortcut pulses are low frequency signals, while the Floquet-engineered pulses have higher frequency content [39]. We use classical Ornstein-Uhlenbeck noise processes with exponential correlation functions [33] in the energy levels, as used in [32] for molecules in a liquid.…”