Superrobust Geometric Control of a Superconducting Circuit

Abstract

Geometric phases accompanying adiabatic quantum evolutions can be used to construct robust quantum control for quantum information processing due to their noise-resilient feature. A significant development along this line is to construct geometric gates using nonadiabatic quantum evolutions to reduce errors due to decoherence. However, it has been shown that nonadiabatic geometric gates are not necessarily more robust than dynamical ones, in contrast to an intuitive expectation. Here we experimentally investigate this issue for the case of nonadiabatic holonomic quantum computation~(NHQC) and show that conventional NHQC schemes cannot guarantee the expected robustness due to a cross coupling to the states outside the computational space. We implement a different set of constraints for gate construction in order to suppress such cross coupling to achieve an enhanced robustness. Using a superconducting quantum circuit, we demonstrate high-fidelity holonomic gates whose infidelity against quasi-static transverse errors can be suppressed up to the fourth order, instead of the second order in conventional NHQC and dynamical gates. In addition, we explicitly measure the accumulated dynamical phase due to the above mentioned cross coupling and verify that it is indeed much reduced in our NHQC scheme. We further demonstrate a protocol for constructing two-qubit NHQC gates also with an enhanced robustness.

14 pages, 14 figures;

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Cited by in corpus (13)

• Scalable Method for Eliminating Residual $ZZ$ Interaction between Superconducting Qubits
• Composite Short-path Nonadiabatic Holonomic Quantum Gates
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• Accelerated super-robust nonadiabatic holonomic quantum gates
• Improving Transmon Qudit Measurement on IBM Quantum Hardware
• Role of parasitic interactions and microwave crosstalk in dispersive control of two superconducting artificial atoms
• Nonadiabatic Holonomic Quantum Computation via Path Optimization
• Autonomous Stabilization of Fock States in an Oscillator against Multiphoton Losses
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling
• Non-adiabatic holonomic quantum operations in continuous variable systems
• Engineered Robustness for Nonadiabatic Geometric Quantum Gates
• Geometric and holonomic quantum computation