Dynamically Correcting a CNOT Gate for any Systematic Logical Error

Abstract

We derive a set of composite pulse sequences that generates CNOT gates and correct all systematic errors within the logical subspace to arbitrary order. These sequences are applicable for any two-qubit interaction Hamiltonian, and make no assumptions about the underlying noise mechanism except that it is constant on the timescale of the operation. We do assume access to error-free single-qubit gates, so single-qubit gate imperfections eventually limit the achievable fidelity. However, since single-qubit gates generally have much higher fidelities than two-qubit gates in practice, these pulse sequences offer useful dynamical correction for a wide range of coupled qubit systems.

4 + pages, and 2 pages of supplemental material

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Cited by in corpus (23)

• Detector Tomography on IBM 5-qubit Quantum Computers and Mitigation of Imperfect Measurement
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• Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
• Robust single-qubit gates by composite pulses in three-level systems
• General solution to inhomogeneous dephasing and smooth pulse dynamical decoupling
• Fast high-fidelity entangling gates for spin qubits in Si double quantum dots
• Composite pulses with errant phases
• Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
• Noise-resistant Landau-Zener sweeps from geometrical curves
• Error correction for gate operations in systems of exchange-coupled singlet-triplet qubits in double quantum dots
• Single-tone pulse sequences and robust two-tone shaped pulses for three silicon spin qubits with always-on exchange
• Reverse engineering of one-qubit filter functions with dynamical invariants
• Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
• Quantum circuit debugging and sensitivity analysis via local inversions
• A robust operating point for capacitively coupled singlet-triplet qubits
• Robust transitionless quantum driving: Concatenated approach
• Theory of the Simultaneous Transient Dispersive Readout of Multiple Spin Qubits
• Local Gradient Optimization of Modular Entangling Sequences
• Stroboscopically Robust Gates For Capacitively Coupled Singlet-Triplet Qubits
• Local gradient optimization of leakage-suppressing entangling sequences
• Simulated Randomized Benchmarking of a Dynamically Corrected Cross-Resonance Gate
• Efficient learning and optimizing non-Gaussian correlated noise in digitally controlled qubit systems