Fast holonomic quantum computation on superconducting circuits with optimal control

Abstract

Geometric phases induced in quantum evolutions have built-in noise-resilient characters, and thus can find applications in many robust quantum manipulation tasks. Here, we propose a feasible and fast scheme for universal quantum computation on superconducting circuits with nonadiabatic non-Abelian geometric phases, using resonant interaction of three-level quantum system. In our scheme, arbitrary single-qubit quantum gates can be implemented in a single-loop scenario by shaping both the amplitudes and phases of the two driving microwave fields resonantly coupled to a transmon device. Moreover, nontrivial two-qubit gates can also be realized with an auxiliary transmon simultaneously coupled to the two target transmons in an effective resonant way. In particular, our proposal can be compatible to various optimal control techniques, which further enhances the robustness of the quantum operations. Therefore, our proposal represents a promising way towards fault-tolerant quantum computation on solid-state quantum circuits.

arXiv comment9 pages, 5 figures

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Cited by in corpus (21)

• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
• Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
• Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
• Composite Short-path Nonadiabatic Holonomic Quantum Gates
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Nonadiabatic geometric quantum computation with optimal control on superconducting circuits
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
• Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts
• High-fidelity geometric quantum gates with short paths on superconducting circuits
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Ultrafast Holonomic Quantum Gates
• Accelerated super-robust nonadiabatic holonomic quantum gates
• Leakage Suppression for Holonomic Quantum Gates
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Dark path holonomic qudit computation
• Coupling two charge qubits via a superconducting resonator operating in the resonant and dispersive regimes
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
• Exact quantum dynamics for two-level systems with time-dependent driving
• Universal singlet-triplet qubits implemented near the transverse sweet spot
• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control