Pseudo Twirling Mitigation of Coherent Errors in non-Clifford Gates

Fuente: arXiv
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Autori principali: Santos, Jader P., Bar, Ben, Uzdin, Raam
Natura: Preprint
Pubblicazione: 2024
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author Santos, Jader P.
Bar, Ben
Uzdin, Raam
author_facet Santos, Jader P.
Bar, Ben
Uzdin, Raam
contents The conventional circuit paradigm, utilizing a limited number of gates to construct arbitrary quantum circuits, is hindered by significant noise overhead. For instance, the standard gate paradigm employs two CNOT gates for the partial CPhase rotation in the quantum Fourier transform, even when the rotation angle is very small. In contrast, some quantum computer platforms can directly implement such operations using their native interaction, resulting in considerably shorter and less noisy implementations for small rotation angles. Unfortunately, coherent errors stemming from qubit crosstalk and calibration imperfections render these implementations impractical. In Clifford gates such as the CNOT, these errors can be addressed through Pauli twirling (also known as randomized compiling). However, this technique is not applicable to the non-Clifford native implementations described above. The present work introduces, analyzes, and experimentally demonstrates a technique called `Pseudo Twirling' to address coherent errors in general gates and circuits. Additionally, we experimentally showcase that integrating pseudo twirling with a quantum error mitigation method called `Adaptive KIK' enables the simultaneous mitigation of both noise and coherent errors in non-Clifford gates. Due to its unique features pseudo twirling could become a valuable asset in enhancing the capabilities of both present and future NISQ devices.
format Preprint
id arxiv_https___arxiv_org_abs_2401_09040
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Pseudo Twirling Mitigation of Coherent Errors in non-Clifford Gates
Santos, Jader P.
Bar, Ben
Uzdin, Raam
Quantum Physics
The conventional circuit paradigm, utilizing a limited number of gates to construct arbitrary quantum circuits, is hindered by significant noise overhead. For instance, the standard gate paradigm employs two CNOT gates for the partial CPhase rotation in the quantum Fourier transform, even when the rotation angle is very small. In contrast, some quantum computer platforms can directly implement such operations using their native interaction, resulting in considerably shorter and less noisy implementations for small rotation angles. Unfortunately, coherent errors stemming from qubit crosstalk and calibration imperfections render these implementations impractical. In Clifford gates such as the CNOT, these errors can be addressed through Pauli twirling (also known as randomized compiling). However, this technique is not applicable to the non-Clifford native implementations described above. The present work introduces, analyzes, and experimentally demonstrates a technique called `Pseudo Twirling' to address coherent errors in general gates and circuits. Additionally, we experimentally showcase that integrating pseudo twirling with a quantum error mitigation method called `Adaptive KIK' enables the simultaneous mitigation of both noise and coherent errors in non-Clifford gates. Due to its unique features pseudo twirling could become a valuable asset in enhancing the capabilities of both present and future NISQ devices.
title Pseudo Twirling Mitigation of Coherent Errors in non-Clifford Gates
topic Quantum Physics
url https://arxiv.org/abs/2401.09040