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Title: | CHARACTERIZATION AND REMOVAL OF NOISE IN QUANTUM SYSTEMS WITH PULSES | Authors: | QI JIAAN | ORCID iD: | orcid.org/0000-0001-8444-2225 | Keywords: | quantum noise, randomized benchmarking, dynamical decoupling | Issue Date: | 23-Aug-2020 | Citation: | QI JIAAN (2020-08-23). CHARACTERIZATION AND REMOVAL OF NOISE IN QUANTUM SYSTEMS WITH PULSES. ScholarBank@NUS Repository. | Abstract: | This thesis studies noisy quantum channels under the influence of external pulses, which interacts with a quantum register in meaningful ways that allow characterization or removal of the noise. For the randomized benchmarking (RB) protocol, a popular scheme to measure the noise level, we study the scenarios where the conventional weak gate-dependance and weak time-correlation noise assumptions are violated. For gate-dependent noise, we show that the "RB number" does not upper-bound the average gate-set infidelity, a number it was designed to measure. For time-correlated noise, a unified analytical framework incorporating different transformation groups under both quantum and classical interaction is developed and the effect of noise time-correlation is demonstrated. For dynamical decoupling (DD), a family of schemes to suppress noise in the system, we carefully examine the behavior of the periodic-DD (PDD) and the concatenated-DD (CDD) schemes. A rigorous proof for the noise decoupling order of CDD is performed, filling up a logical loophole in previous literature. Together with PDD, we develop a noise threshold condition for the DD schemes with imperfect pulses, shedding light on the appropriate DD scheme to choose from the fault tolerance perspective. | URI: | https://scholarbank.nus.edu.sg/handle/10635/185248 |
Appears in Collections: | Ph.D Theses (Open) |
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