Robust quantum gates for singlet-triplet spin qubits using composite pulses

Abstract

We present a comprehensive theoretical treatment of SUPCODE, a method for generating dynamically corrected quantum gate operations, which are immune to random noise in the environment, by using carefully designed sequences of soft pulses. SUPCODE enables dynamical error suppression even when the control field is constrained to be positive and uniaxial, making it particularly suited to counteracting the effects of noise in systems subject to these constraints such as singlet-triplet qubits. We describe and explain in detail how to generate SUPCODE pulse sequences for arbitrary single-qubit gates and provide several explicit examples of sequences that implement commonly used gates, including the single-qubit Clifford gates. We develop sequences for noise-resistant two-qubit gates for two exchanged-coupled singlet-triplet qubits by cascading robust single-qubit gates, leading to a 35% reduction in gate time compared to previous works. This cascade approach can be scaled up to produce gates for an arbitrary-length spin qubit array, and is thus relevant to scalable quantum computing architectures. To more accurately describe real spin qubit experiments, we show how to design sequences that incorporate additional features and practical constraints such as sample-specific charge noise models and finite pulse rise times. We provide a detailed analysis based on randomized benchmarking to show how SUPCODE gates perform under realistic $1/f^{\alpha }$ noise and find a strong dependence of gate fidelity on the exponent $\alpha$, with best performance for $\alpha >1$. Our SUPCODE sequences can therefore be used to implement robust universal quantum computation while accommodating the fundamental constraints and experimental realities of singlet-triplet qubits.

22+ pages, 15 figures

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Cited by in corpus (78)

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• Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
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• Randomized benchmarking of barrier versus tilt control of a singlet-triplet qubit
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• qopt: An experiment-oriented Qubit Simulation and Quantum Optimal Control Package
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• Error correction for gate operations in systems of exchange-coupled singlet-triplet qubits in double quantum dots
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• Feedback-tuned noise-resilient gates for encoded spin qubits
• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Fast high-fidelity geometric gates for singlet-triplet qubits
• Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
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• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Quantifying the performance of multi-pulse quantum sensing
• Ultrahigh-fidelity composite quantum phase gates
• High-fidelity two-qubit gates via dynamical decoupling of local 1/f noise at optimal point
• Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning
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• Robust transitionless quantum driving: Concatenated approach
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• A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
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• Minimal Non-orthogonal Gate Decomposition for Qubits with Limited Control
• Modularized and Scalable Compilation for Double Quantum Dot Quatum Computing
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• Enhanced Quantum Signal Control and Sensing Under Multicolored Noise via Generalized Filter Function Framework
• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control
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