Noise-compensating pulses for electrostatically controlled silicon spin qubits

Abstract

We study the performance of SUPCODE---a family of dynamically correcting pulses designed to cancel simultaneously both Overhauser and charge noise for singlet-triplet spin qubits---adapted to silicon devices with electrostatic control. We consider both natural Si and isotope-enriched Si systems, and in each case we investigate the behavior of individual gates under static noise and perform randomized benchmarking to obtain the average gate error under realistic 1/f noise. We find that in most cases SUPCODE pulses offer roughly an order of magnitude reduction in gate error, and especially in the case of isotope-enriched Si, SUPCODE yields gate operations of very high fidelity. We also develop a version of SUPCODE that cancels the charge noise only, "$\delta J$-SUPCODE", which is particularly beneficial for isotope-enriched Si devices where charge noise dominates Overhauser noise, offering a level of error reduction comparable to the original SUPCODE while yielding gate times that are 30% to 50% shorter. Our results show that the SUPCODE noise-compensating pulses provide a fast, simple, and effective approach to error suppression, bringing gate errors well below the quantum error correction threshold in principle.

8 pages, 5 figures

References in corpus (32)

• Silicon Quantum Electronics
• Randomized Benchmarking of Quantum Gates
• A single-atom electron spin qubit in silicon
• Single-shot readout of an electron spin in silicon
• Electron spin coherence exceeding seconds in high purity silicon
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• High-fidelity readout and control of a nuclear spin qubit in silicon
• Characterizing Quantum Gates via Randomized Benchmarking
• Solid state quantum memory using the 31P nuclear spin
• Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Quantum control and process tomography of a semiconductor quantum dot hybrid qubit
• Atomic clock transitions in silicon-based spin qubits
• Composite pulses for robust universal control of singlet-triplet qubits
• Fidelity of Single Qubit Maps
• Tunable spin-selective loading of a silicon spin qubit
• Initializing, manipulating and storing quantum information with bismuth dopants in silicon
• Dephasing of Si spin qubits due to charge noise
• Robust control of quantum gates via sequential convex programming
• Noise-resistant control for a spin qubit array
• Robust quantum gates for singlet-triplet spin qubits using composite pulses
• Fast coherent manipulation of three-electron states in a double quantum dot
• Exchange coupling in silicon quantum dots: Theoretical considerations for quantum computation
• Single-shot measurement of triplet-singlet relaxation in a Si/SiGe double quantum dot
• Tunable singlet-triplet splitting in a few-electron Si/SiGe quantum dot
• Single-shot readout and relaxation of singlet/triplet states in exchange-coupled ${}^{31}$P electron spins in silicon
• Automated Synthesis of Dynamically Corrected Quantum Gates
• Electrostically defined few-electron double quantum dot in silicon
• Implementation of dynamically corrected gates for single-spin qubits
• Robust two-qubit gates for donors in silicon controlled by hyperfine interactions
• Quantum dots in Si/SiGe 2DEGs with Schottky top-gated leads
• Voltage controlled exchange energies of a two electron silicon double quantum dot with and without charge defects in the dielectric

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• Enhanced Quantum Signal Control and Sensing Under Multicolored Noise via Generalized Filter Function Framework