Composite two-qubit gates

Abstract

We design composite controlled-phase gates, which compensate errors in the phase of a single gate. The errors can be of various nature, such as relative, absolute or both. We present composite sequences which are robust to relative errors up to the 6th order, with the number of the constituent gates growing just linearly with the desired accuracy, and we describe a method to achieve even higher accuracy. We show that the absolute error can be canceled entirely with only two gates. We describe an ion-trap implementation of our composite gates, in which simultaneous cancellation of the error in both the pulse area and the detuning is achieved.

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Cited by in corpus (21)

• The methodology of resonant equiangular composite quantum gates
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• Quantum Control via Enhanced Shortcuts to Adiabaticity
• Arbitrarily accurate variable rotations on the Bloch sphere by composite pulse sequences
• Robust paths to realize nonadiabatic holonomic gates
• Robust control of a NOT gate by composite pulses
• Arbitrarily accurate twin composite $\pi$ pulse sequences
• Quantum gates by inverse engineering of a Hamiltonian
• High-fidelity composite quantum gates for Raman qubits
• Refocusing two qubit gate noise for trapped ions by composite pulses
• Numerical optimization of amplitude-modulated pulses in microwave-driven entanglement generation
• Effect of Poisson noise on adiabatic quantum control
• Simulation of a feedback-based algorithm for quantum optimization for a realistic neutral atom system with an optimized small-angle controlled-phase gate
• Three-state coherent control using narrowband and passband sequences
• Refocusing two qubit gates with measurements for trapped ions
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Resource state generation for a multispin register in a hybrid matter-photon quantum information processor
• Robust composite two-qubit gates for silicon-based spin qubits