Implementing universal nonadiabatic holonomic quantum gates with transmons

Abstract

Geometric phases are well known to be noise-resilient in quantum evolutions/operations. Holonomic quantum gates provide us with a robust way towards universal quantum computation, as these quantum gates are actually induced by nonabelian geometric phases. Here we propose and elaborate how to efficiently implement universal nonadiabatic holonomic quantum gates on simpler superconducting circuits, with a single transmon serving as a qubit. In our proposal, an arbitrary single-qubit holonomic gate can be realized in a single-loop scenario, by varying the amplitudes and phase difference of two microwave fields resonantly coupled to a transmon, while nontrivial two-qubit holonomic gates may be generated with a transmission-line resonator being simultaneously coupled to the two target transmons in an effective resonant way. Moreover, our scenario may readily be scaled up to a two-dimensional lattice configuration, which is able to support large scalable quantum computation, paving the way for practically implementing universal nonadiabatic holonomic quantum computation with superconducting circuits.

v3 Appendix added, v4 published version, v5 published version with corrections

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Cited by in corpus (41)

• Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
• Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
• Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
• Nonadiabatic geometric quantum computation with parametrically tunable coupling
• Entanglement generation in superconducting qubits using holonomic operations
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
• Fast holonomic quantum computation on superconducting circuits with optimal control
• Doubly geometric quantum control
• Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
• Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
• Path-shortening realizations of nonadiabatic holonomic gates
• Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit
• Nonadiabatic holonomic multiqubit controlled gates
• Composite Short-path Nonadiabatic Holonomic Quantum Gates
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Super-robust nonadiabatic geometric quantum control
• Superrobust Geometric Control of a Superconducting Circuit
• Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
• 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
• Realizing nonadiabatic holonomic quantum computation beyond the three-level setting
• Composite pulses for high fidelity population transfer in three-level systems
• High-fidelity geometric quantum gates with short paths on superconducting circuits
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations
• Ultrafast Holonomic Quantum Gates
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
• Accelerated super-robust nonadiabatic holonomic quantum gates
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Nonadiabatic Holonomic Quantum Computation via Path Optimization
• Berry-phase-based quantum gates assisted by transitionless quantum driving
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Coupling two charge qubits via a superconducting resonator operating in the resonant and dispersive regimes
• Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
• Error-Resilient Floquet Geometric Quantum Computation
• Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping
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• Engineered Robustness for Nonadiabatic Geometric Quantum Gates
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