Qutrit Control for Bucket Brigade RAM Using Transmon Systems

Qudits allow the encoding and manipulation of additional quantum information compared to that stored to a two-level qubit system. Although manipulations of qudit states are generally more complex and can introduce extra sources of noise, qudits can still be used in a number of applications when this...

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Main Authors: Lazaros Spyridopoulos, Dimitris Ntalaperas, Nikos Konofaos
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/7/3950
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author Lazaros Spyridopoulos
Dimitris Ntalaperas
Nikos Konofaos
author_facet Lazaros Spyridopoulos
Dimitris Ntalaperas
Nikos Konofaos
author_sort Lazaros Spyridopoulos
collection DOAJ
description Qudits allow the encoding and manipulation of additional quantum information compared to that stored to a two-level qubit system. Although manipulations of qudit states are generally more complex and can introduce extra sources of noise, qudits can still be used in a number of applications when this error can be kept sufficiently low. One such application is the case of the Bucket Brigade Algorithm for realizing a Quantum RAM (QRAM), which inherently uses qutrits for encoding the state of address switches. In this paper, we study a methodology for qutrit manipulation that leverages efficient encoding techniques and pulse calibration methods for the case of transmon systems. The methodology employs an encoding scheme that allows the execution of controlled operations, using the subspace spanned by the two lowest levels of the transmon; we show how this scheme can be used for generating one- and two-qutrit gates by leveraging the Qiskit and Boulder Opal frameworks to compute the parameters of pulses that implement the quantum gates that are used by the BBA. For this type of gate, simulations show that the pulses perform the required operations with a low infidelity when errors introduced by the qutrit Hamiltonian dynamics are considered.
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spelling doaj-art-de1a3e9ba12d410d86f484a3cdde7b722025-08-20T02:17:00ZengMDPI AGApplied Sciences2076-34172025-04-01157395010.3390/app15073950Qutrit Control for Bucket Brigade RAM Using Transmon SystemsLazaros Spyridopoulos0Dimitris Ntalaperas1Nikos Konofaos2Department of Informatics, Aristotle University of Thessaloniki, Biology Building, Main University Campus, 54124 Thessaloniki, GreeceDepartment of Informatics, Aristotle University of Thessaloniki, Biology Building, Main University Campus, 54124 Thessaloniki, GreeceDepartment of Informatics, Aristotle University of Thessaloniki, Biology Building, Main University Campus, 54124 Thessaloniki, GreeceQudits allow the encoding and manipulation of additional quantum information compared to that stored to a two-level qubit system. Although manipulations of qudit states are generally more complex and can introduce extra sources of noise, qudits can still be used in a number of applications when this error can be kept sufficiently low. One such application is the case of the Bucket Brigade Algorithm for realizing a Quantum RAM (QRAM), which inherently uses qutrits for encoding the state of address switches. In this paper, we study a methodology for qutrit manipulation that leverages efficient encoding techniques and pulse calibration methods for the case of transmon systems. The methodology employs an encoding scheme that allows the execution of controlled operations, using the subspace spanned by the two lowest levels of the transmon; we show how this scheme can be used for generating one- and two-qutrit gates by leveraging the Qiskit and Boulder Opal frameworks to compute the parameters of pulses that implement the quantum gates that are used by the BBA. For this type of gate, simulations show that the pulses perform the required operations with a low infidelity when errors introduced by the qutrit Hamiltonian dynamics are considered.https://www.mdpi.com/2076-3417/15/7/3950quantum controlqutrittransmon qubitsQRAM
spellingShingle Lazaros Spyridopoulos
Dimitris Ntalaperas
Nikos Konofaos
Qutrit Control for Bucket Brigade RAM Using Transmon Systems
Applied Sciences
quantum control
qutrit
transmon qubits
QRAM
title Qutrit Control for Bucket Brigade RAM Using Transmon Systems
title_full Qutrit Control for Bucket Brigade RAM Using Transmon Systems
title_fullStr Qutrit Control for Bucket Brigade RAM Using Transmon Systems
title_full_unstemmed Qutrit Control for Bucket Brigade RAM Using Transmon Systems
title_short Qutrit Control for Bucket Brigade RAM Using Transmon Systems
title_sort qutrit control for bucket brigade ram using transmon systems
topic quantum control
qutrit
transmon qubits
QRAM
url https://www.mdpi.com/2076-3417/15/7/3950
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