Detecting crosstalk errors in quantum information processors

Crosstalk occurs in most quantum computing systems with more than one qubit. It can cause a variety of correlated and nonlocal $\textit{crosstalk errors}$ that can be especially harmful to fault-tolerant quantum error correction, which generally relies on errors being local and relatively predictabl...

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Main Authors: Mohan Sarovar, Timothy Proctor, Kenneth Rudinger, Kevin Young, Erik Nielsen, Robin Blume-Kohout
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-09-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-09-11-321/pdf/
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author Mohan Sarovar
Timothy Proctor
Kenneth Rudinger
Kevin Young
Erik Nielsen
Robin Blume-Kohout
author_facet Mohan Sarovar
Timothy Proctor
Kenneth Rudinger
Kevin Young
Erik Nielsen
Robin Blume-Kohout
author_sort Mohan Sarovar
collection DOAJ
description Crosstalk occurs in most quantum computing systems with more than one qubit. It can cause a variety of correlated and nonlocal $\textit{crosstalk errors}$ that can be especially harmful to fault-tolerant quantum error correction, which generally relies on errors being local and relatively predictable. Mitigating crosstalk errors requires understanding, modeling, and detecting them. In this paper, we introduce a comprehensive framework for crosstalk errors and a protocol for detecting and localizing them. We give a rigorous definition of crosstalk errors that captures a wide range of disparate physical phenomena that have been called ``crosstalk'', and a concrete model for crosstalk-free quantum processors. Errors that violate this model are crosstalk errors. Next, we give an equivalent but purely operational (model-independent) definition of crosstalk errors. Using this definition, we construct a protocol for detecting a large class of crosstalk errors in a multi-qubit processor by finding conditional dependencies between observed experimental probabilities. It is highly efficient, in the sense that the number of unique experiments required scales at most cubically, and very often quadratically, with the number of qubits. We demonstrate the protocol using simulations of 2-qubit and 6-qubit processors.
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spelling doaj.art-b311a4d0863841aa8fe6c6064401146a2022-12-22T02:36:51ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2020-09-01432110.22331/q-2020-09-11-32110.22331/q-2020-09-11-321Detecting crosstalk errors in quantum information processorsMohan SarovarTimothy ProctorKenneth RudingerKevin YoungErik NielsenRobin Blume-KohoutCrosstalk occurs in most quantum computing systems with more than one qubit. It can cause a variety of correlated and nonlocal $\textit{crosstalk errors}$ that can be especially harmful to fault-tolerant quantum error correction, which generally relies on errors being local and relatively predictable. Mitigating crosstalk errors requires understanding, modeling, and detecting them. In this paper, we introduce a comprehensive framework for crosstalk errors and a protocol for detecting and localizing them. We give a rigorous definition of crosstalk errors that captures a wide range of disparate physical phenomena that have been called ``crosstalk'', and a concrete model for crosstalk-free quantum processors. Errors that violate this model are crosstalk errors. Next, we give an equivalent but purely operational (model-independent) definition of crosstalk errors. Using this definition, we construct a protocol for detecting a large class of crosstalk errors in a multi-qubit processor by finding conditional dependencies between observed experimental probabilities. It is highly efficient, in the sense that the number of unique experiments required scales at most cubically, and very often quadratically, with the number of qubits. We demonstrate the protocol using simulations of 2-qubit and 6-qubit processors.https://quantum-journal.org/papers/q-2020-09-11-321/pdf/
spellingShingle Mohan Sarovar
Timothy Proctor
Kenneth Rudinger
Kevin Young
Erik Nielsen
Robin Blume-Kohout
Detecting crosstalk errors in quantum information processors
Quantum
title Detecting crosstalk errors in quantum information processors
title_full Detecting crosstalk errors in quantum information processors
title_fullStr Detecting crosstalk errors in quantum information processors
title_full_unstemmed Detecting crosstalk errors in quantum information processors
title_short Detecting crosstalk errors in quantum information processors
title_sort detecting crosstalk errors in quantum information processors
url https://quantum-journal.org/papers/q-2020-09-11-321/pdf/
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