Designing robust gate implementations for quantum information processing

Abstract

Quantum information processing systems are often operated through time dependent controls; choosing these controls in a way that makes the resulting operation insensitive to variations in unknown or uncontrollable system parameters is an important prerequisite for obtaining high-fidelity gate operations. In this article we present a numerical method for constructing such robust control sequences for a quite general class of quantum information processing systems. As an application of the method we have designed a robust implementation of a phase-shift operation central to rare earth quantum computing, an ensemble quantum computing system proposed by Ohlsson et. al. [Opt. Comm. 201, 71 (2002)]. In this case the method has been used to obtain a high degree of insensitivity with respect to differences between ensemble members, but it is equally well suited for quantum computing with a single physical system.

RevTeX 4, 6 pages, 3 figures

References in corpus (8)

• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Quantum computation with ions in thermal motion
• Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
• Optimal control theory for unitary transformations
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping
• Experimental demonstration of quantum state tomography and qubit-qubit interactions for rare-earth-ion based solid state qubits
• Robust quantum gates and a bus architecture for quantum computing with rare-earth-ion doped crystals

Cited by in corpus (8)

• Optimal Control-Based Efficient Synthesis of Building Blocks of Quantum Algorithms Seen in Perspective from Network Complexity towards Time Complexity
• Sliding mode control of quantum systems
• Robust control of quantum gates via sequential convex programming
• Scalable designs for quantum computing with rare-earth-ion-doped crystals
• Experimental quantum state tomography of a solid state qubit
• Rare Earth Ions Doped Mixed Crystals for Fast Quantum Computers with Optical Frequency Qubits
• Robustness of Controlled Quantum Dynamics
• Binary Quantum Control Optimization with Uncertain Hamiltonians