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This research advances robust single-qubit gate operations in three-level quantum systems by explicitly integrating decay and dephasing into control pulse designs. By utilizing a nonadiabatic holonomic scheme with a non-Hermitian Hamiltonian, the team overcomes previous limitations of slow adiabatic processes or complex four-level architectures. This approach offers a more stable pathway for quantum computation that maintains accuracy despite natural energy loss within the system.
Yanan University Team Develops Nonadiabatic Holonomic Scheme for Robust Single-Qubit Gates

Until now, geometric control of quantum systems demanded either painstakingly slow operations or complex four-level designs. This work achieves arbitrary single-qubit gates in a genuinely nonadiabatic three-level system, directly addressing decay and dephasing, factors previously ignored or treated as afterthoughts. By embedding dissipation into the pulse design itself, a pathway towards more dependable quantum computation opens.
Three-level systems now achieve arbitrary single-qubit holonomic gates in a ‘no-jump’ regime, a key advance in quantum control. Wei Li and colleagues from Yanan University have developed a nonadiabatic holonomic scheme using a non-Hermitian Hamiltonian, overcoming limitations of previous methods that either ignored energy loss or were restricted to more complex four-level systems. The approach directly incorporates decay and dephasing, processes that disrupt quantum information, into the design of the control pulses, maintaining gate accuracy despite these effects. The team utilised a three-level system, employing carefully shaped control pulses to perform calculations despite the natural degradation of the system. By…
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