Implementing quantum logic gates with GRAPE: principles and practicalities

Abstract

We briefly describe the use of GRAPE pulses to implement quantum logic gates in NMR quantum computers, and discuss a range of simple extensions to the core technique. We then consider a range of difficulties which can arise in practical implementations of GRAPE sequences, reflecting non-idealities in the experimental systems used.

15 pages rspublic including 4 figures. This is the original manuscript preprint form which differs slightly from the final accepted version (Phil Trans Roy Soc A in press)

References in corpus (5)

• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Quantum Computing with NMR
• Liquid State NMR as a Test-bed for Developing Quantum Control Methods
• Compiling gate networks on an Ising quantum computer
• Preparing pseudo-pure states with controlled-transfer gates

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• Deep reinforcement learning for universal quantum state preparation via dynamic pulse control
• Minimum-Time Selective Control of Homonuclear Spins
• Majorana bound state engineering via efficient real-space parameter optimization
• Controlling NMR spin systems for quantum computation
• Universal quantum state preparation via revised greedy algorithm
• Enhanced quantum state preparation via stochastic prediction of neural network
• Quantum Computing Gates via Optimal Control
• Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
• Creation and manipulation of surface code defects with quantum optimal control
• Quantum Control Landscapes Beyond the Dipole Approximation