Virtual-Z Gates and Symmetric Gate Compilation

The virtual-Z (vz) gate has been established as an important tool for performing quantum gates on various platforms, including but not limited to superconducting systems. Many such platforms offer a limited set of calibrated gates and compile all other gates using combinations of X-type and vz gates...

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Main Authors: Arian Vezvaee, Vinay Tripathi, Daria Kowsari, Eli Levenson-Falk, Daniel A. Lidar
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/PRXQuantum.6.020348
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author Arian Vezvaee
Vinay Tripathi
Daria Kowsari
Eli Levenson-Falk
Daniel A. Lidar
author_facet Arian Vezvaee
Vinay Tripathi
Daria Kowsari
Eli Levenson-Falk
Daniel A. Lidar
author_sort Arian Vezvaee
collection DOAJ
description The virtual-Z (vz) gate has been established as an important tool for performing quantum gates on various platforms, including but not limited to superconducting systems. Many such platforms offer a limited set of calibrated gates and compile all other gates using combinations of X-type and vz gates. Here, we show that the method of compilation has important consequences in an open quantum system setting. Specifically, we experimentally demonstrate that it is crucial to choose a compilation that is symmetric with respect to vz rotations. An important example is dynamical-decoupling (DD) sequences, where improper gate decomposition can result in unintended effects such as the implementation of the wrong sequence. Our findings indicate that in many cases the performance of DD is adversely affected by the incorrect use of vz gates, compounding other coherent pulse errors. This holds even for DD sequences designed to be robust against systematic control errors. In addition, we identify another source of coherent errors: interference between consecutive pulses that follow each other too closely. This work provides insights into improving general quantum gate performance and optimizing DD sequences in particular.
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institution OA Journals
issn 2691-3399
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publishDate 2025-06-01
publisher American Physical Society
record_format Article
series PRX Quantum
spelling doaj-art-ec07549c3a07472bb3d9d0c7eb612a692025-08-20T02:35:05ZengAmerican Physical SocietyPRX Quantum2691-33992025-06-016202034810.1103/PRXQuantum.6.020348Virtual-Z Gates and Symmetric Gate CompilationArian VezvaeeVinay TripathiDaria KowsariEli Levenson-FalkDaniel A. LidarThe virtual-Z (vz) gate has been established as an important tool for performing quantum gates on various platforms, including but not limited to superconducting systems. Many such platforms offer a limited set of calibrated gates and compile all other gates using combinations of X-type and vz gates. Here, we show that the method of compilation has important consequences in an open quantum system setting. Specifically, we experimentally demonstrate that it is crucial to choose a compilation that is symmetric with respect to vz rotations. An important example is dynamical-decoupling (DD) sequences, where improper gate decomposition can result in unintended effects such as the implementation of the wrong sequence. Our findings indicate that in many cases the performance of DD is adversely affected by the incorrect use of vz gates, compounding other coherent pulse errors. This holds even for DD sequences designed to be robust against systematic control errors. In addition, we identify another source of coherent errors: interference between consecutive pulses that follow each other too closely. This work provides insights into improving general quantum gate performance and optimizing DD sequences in particular.http://doi.org/10.1103/PRXQuantum.6.020348
spellingShingle Arian Vezvaee
Vinay Tripathi
Daria Kowsari
Eli Levenson-Falk
Daniel A. Lidar
Virtual-Z Gates and Symmetric Gate Compilation
PRX Quantum
title Virtual-Z Gates and Symmetric Gate Compilation
title_full Virtual-Z Gates and Symmetric Gate Compilation
title_fullStr Virtual-Z Gates and Symmetric Gate Compilation
title_full_unstemmed Virtual-Z Gates and Symmetric Gate Compilation
title_short Virtual-Z Gates and Symmetric Gate Compilation
title_sort virtual z gates and symmetric gate compilation
url http://doi.org/10.1103/PRXQuantum.6.020348
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AT danielalidar virtualzgatesandsymmetricgatecompilation