Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit

Abstract

Geometric quantum gates are performed by using the geometric phase, making them particularly robust to the pulse amplitude error due to the intrinsic global property. However, in many systems, such as the silicon-based spin qubits, the off-resonance error is the dominant noise, which can cause dephasing and is always difficult to deal with for a geometric gate. Thus how to deal with the off-resonance error is very significant for the application of the geometric gates. A recent work in \emph{Phy. Rev. Appl. 16, 044005 (2021)} reveals that by inserting two $\pi$-pulse dynamically corrected sequences into the evolution paths, the holonomic quantum gate is effective to suppress the pulse amplitude error, however it is still useless for combating the off-resonance error. Inspired by this work, we combine using the techniques of dynamical correction and path design. Surprisingly, we find that by picking up a specific evolution path inserted by only a $\pi$-pulse dynamically corrected sequence, the obtained optimized geometric gate is robust to the off-resonance error, assuming the noise is static. Further, by calculating the filter function considering the realistic $1/f$-type noise in silicon, the related results show that the performance of the optimized geometric gate can also surpass both the conventional geometric gate and the naive dynamical gate constructed without using the geometric phase. Our results indicate dynamical correction is an powerful tool to improve the geometric gate.

arXiv comment8 pages,5 figures

References in corpus (51)

• Decoherence Free Subspaces for Quantum Computation
• Noiseless Quantum Codes
• Randomized Benchmarking of Quantum Gates
• Holonomic Quantum Computation
• A >99.9%-fidelity quantum-dot spin qubit with coherence limited by charge noise
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Quantum information processing with circuit quantum electrodynamics
• Preserving coherence in quantum computation by pairing quantum bits
• Computing with spin qubits at the surface code error threshold
• Fast universal quantum control above the fault-tolerance threshold in silicon
• Scalable Noise Estimation with Random Unitary Operators
• Efficient measurement of quantum gate error by interleaved randomized benchmarking
• Fidelity benchmarks for two-qubit gates in silicon
• Implementation of universal quantum gates based on nonadiabatic geometric phases
• Experimental Realization of Non-Abelian Geometric Gates
• Two-qubit silicon quantum processor with operation fidelity exceeding 99%
• Non-Abelian Berry connections for quantum computation
• Unconventional geometric quantum computation
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Precision tomography of a three-qubit donor quantum processor in silicon
• Composite pulses for robust universal control of singlet-triplet qubits
• Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
• Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Arbitrary quantum control of qubits in the presence of universal noise
• Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
• Assessment of a silicon quantum dot spin qubit environment via noise spectroscopy
• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
• Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
• Robust quantum gates for singlet-triplet spin qubits using composite pulses
• Geometric phases in quantum information
• Nonadiabatic geometric quantum computation with parametrically tunable coupling
• Entanglement generation in superconducting qubits using holonomic operations
• High-order noise filtering in nontrivial quantum logic gates
• Experimental time-optimal universal control of spin qubits in solids
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
• Spin readout of a CMOS quantum dot by gate reflectometry and spin-dependent tunnelling
• Concatenated composite pulses compensating simultaneous systematic errors
• Doubly geometric quantum control
• A silicon singlet-triplet qubit driven by spin-valley coupling
• High-fidelity and Robust Geometric Quantum Gates that Outperform Dynamical Ones
• Randomized benchmarking of barrier versus tilt control of a singlet-triplet qubit
• High-fidelity geometric gate for silicon-based spin qubits
• Ultrahigh-fidelity composite rotational quantum gates
• Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
• Noise filtering of composite pulses for singlet-triplet qubits
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Fast high-fidelity geometric gates for singlet-triplet qubits

Cited by in corpus (2)

• Single spin qubit geometric gate in a silicon quantum dot
• Designing dynamically corrected gates robust to multiple noise sources using geometric space curves