Numerical investigation of leakage in resonant exchange qubit

In this final year project, we study the effects of 1/f^α noise and nuclear field on leakage in a resonant exchange (RX) qubit. A 1/f^α noise sequence is generated via finite impulse response (FIR) method, and is then introduced into the RX qubit through a simple noise-induced model. In addition, we...

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Bibliographic Details
Main Author: Lee, Tuck Chong
Other Authors: Koh Teck Seng
Format: Final Year Project (FYP)
Language:English
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10356/75244
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author Lee, Tuck Chong
author2 Koh Teck Seng
author_facet Koh Teck Seng
Lee, Tuck Chong
author_sort Lee, Tuck Chong
collection NTU
description In this final year project, we study the effects of 1/f^α noise and nuclear field on leakage in a resonant exchange (RX) qubit. A 1/f^α noise sequence is generated via finite impulse response (FIR) method, and is then introduced into the RX qubit through a simple noise-induced model. In addition, we propose a simple model for degree of polarization (DOP) to characterize the nuclear field in terms of longitudinal and transversal direction. This thesis cross-examines various parameters related to 1/f^α noise and nuclear field, which include the exponent α, the strength of noise η, the standard deviation of nuclear spin distribution σ and DOP. The simulation demonstrates that leakage is predominantly due to the coupling between the logical qubit states and leakage states via different nuclear field components, and 1/f^α noise does not have significant leakage contribution.
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spelling ntu-10356/752442023-02-28T23:12:21Z Numerical investigation of leakage in resonant exchange qubit Lee, Tuck Chong Koh Teck Seng School of Physical and Mathematical Sciences DRNTU::Science In this final year project, we study the effects of 1/f^α noise and nuclear field on leakage in a resonant exchange (RX) qubit. A 1/f^α noise sequence is generated via finite impulse response (FIR) method, and is then introduced into the RX qubit through a simple noise-induced model. In addition, we propose a simple model for degree of polarization (DOP) to characterize the nuclear field in terms of longitudinal and transversal direction. This thesis cross-examines various parameters related to 1/f^α noise and nuclear field, which include the exponent α, the strength of noise η, the standard deviation of nuclear spin distribution σ and DOP. The simulation demonstrates that leakage is predominantly due to the coupling between the logical qubit states and leakage states via different nuclear field components, and 1/f^α noise does not have significant leakage contribution. Bachelor of Science in Physics 2018-05-30T05:39:24Z 2018-05-30T05:39:24Z 2018 Final Year Project (FYP) http://hdl.handle.net/10356/75244 en 70 p. application/pdf
spellingShingle DRNTU::Science
Lee, Tuck Chong
Numerical investigation of leakage in resonant exchange qubit
title Numerical investigation of leakage in resonant exchange qubit
title_full Numerical investigation of leakage in resonant exchange qubit
title_fullStr Numerical investigation of leakage in resonant exchange qubit
title_full_unstemmed Numerical investigation of leakage in resonant exchange qubit
title_short Numerical investigation of leakage in resonant exchange qubit
title_sort numerical investigation of leakage in resonant exchange qubit
topic DRNTU::Science
url http://hdl.handle.net/10356/75244
work_keys_str_mv AT leetuckchong numericalinvestigationofleakageinresonantexchangequbit