Overhead-constrained circuit knitting for variational quantum dynamics

Simulating the dynamics of large quantum systems is a formidable yet vital pursuit for obtaining a deeper understanding of quantum mechanical phenomena. While quantum computers hold great promise for speeding up such simulations, their practical application remains hindered by limited scale and perv...

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Main Authors: Gian Gentinetta, Friederike Metz, Giuseppe Carleo
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2024-03-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2024-03-21-1296/pdf/
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author Gian Gentinetta
Friederike Metz
Giuseppe Carleo
author_facet Gian Gentinetta
Friederike Metz
Giuseppe Carleo
author_sort Gian Gentinetta
collection DOAJ
description Simulating the dynamics of large quantum systems is a formidable yet vital pursuit for obtaining a deeper understanding of quantum mechanical phenomena. While quantum computers hold great promise for speeding up such simulations, their practical application remains hindered by limited scale and pervasive noise. In this work, we propose an approach that addresses these challenges by employing circuit knitting to partition a large quantum system into smaller subsystems that can each be simulated on a separate device. The evolution of the system is governed by the projected variational quantum dynamics (PVQD) algorithm, supplemented with constraints on the parameters of the variational quantum circuit, ensuring that the sampling overhead imposed by the circuit knitting scheme remains controllable. We test our method on quantum spin systems with multiple weakly entangled blocks each consisting of strongly correlated spins, where we are able to accurately simulate the dynamics while keeping the sampling overhead manageable. Further, we show that the same method can be used to reduce the circuit depth by cutting long-ranged gates.
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spelling doaj.art-4b2094f4168d4b438e3b3569649f93e82024-03-21T17:13:34ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2024-03-018129610.22331/q-2024-03-21-129610.22331/q-2024-03-21-1296Overhead-constrained circuit knitting for variational quantum dynamicsGian GentinettaFriederike MetzGiuseppe CarleoSimulating the dynamics of large quantum systems is a formidable yet vital pursuit for obtaining a deeper understanding of quantum mechanical phenomena. While quantum computers hold great promise for speeding up such simulations, their practical application remains hindered by limited scale and pervasive noise. In this work, we propose an approach that addresses these challenges by employing circuit knitting to partition a large quantum system into smaller subsystems that can each be simulated on a separate device. The evolution of the system is governed by the projected variational quantum dynamics (PVQD) algorithm, supplemented with constraints on the parameters of the variational quantum circuit, ensuring that the sampling overhead imposed by the circuit knitting scheme remains controllable. We test our method on quantum spin systems with multiple weakly entangled blocks each consisting of strongly correlated spins, where we are able to accurately simulate the dynamics while keeping the sampling overhead manageable. Further, we show that the same method can be used to reduce the circuit depth by cutting long-ranged gates.https://quantum-journal.org/papers/q-2024-03-21-1296/pdf/
spellingShingle Gian Gentinetta
Friederike Metz
Giuseppe Carleo
Overhead-constrained circuit knitting for variational quantum dynamics
Quantum
title Overhead-constrained circuit knitting for variational quantum dynamics
title_full Overhead-constrained circuit knitting for variational quantum dynamics
title_fullStr Overhead-constrained circuit knitting for variational quantum dynamics
title_full_unstemmed Overhead-constrained circuit knitting for variational quantum dynamics
title_short Overhead-constrained circuit knitting for variational quantum dynamics
title_sort overhead constrained circuit knitting for variational quantum dynamics
url https://quantum-journal.org/papers/q-2024-03-21-1296/pdf/
work_keys_str_mv AT giangentinetta overheadconstrainedcircuitknittingforvariationalquantumdynamics
AT friederikemetz overheadconstrainedcircuitknittingforvariationalquantumdynamics
AT giuseppecarleo overheadconstrainedcircuitknittingforvariationalquantumdynamics