Error characterization in Quantum Information Processing: a protocol for analyzing spatial correlations and its experimental implementation

Abstract

We present a protocol for error characterization and its experimental implementation with 4 qubits in liquid state NMR. The method is designed to retrieve information about spatial correlations and scales as $O(n^w)$, where $w$ is the maximum number of qubits that have non-negligible interaction. We discuss the practical aspects regarding accuracy and implementation.

Added extra comments to version 2. Accepted in PRA

References in corpus (9)

• Randomized Benchmarking of Quantum Gates
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Symmetrised Characterisation of Noisy Quantum Processes
• Randomized benchmarking and process tomography for gate errors in a solid-state qubit
• Process tomography of ion trap quantum gates
• Quantum process tomography and Linblad estimation of a solid state qubit
• Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing
• Efficient error characterization in Quantum Information Processing
• Experimental Implementation of Logical Bell State Encoding

Cited by in corpus (6)

• Modelling and Simulating the Noisy Behaviour of Near-term Quantum Computers
• The effect of noise correlations on randomized benchmarking
• Experimental demonstration of selective quantum process tomography on an NMR quantum information processor
• Progress toward scalable tomography of quantum maps using twirling-based methods and information hierarchies
• Randomized benchmarking of quantum gates implemented by electron spin resonance
• Selective and Efficient Quantum State Tomography and its Application to Quantum Process Tomography