Qudit Dynamical Decoupling on a Superconducting Quantum Processor

Tripathi, Vinay; Goss, Noah; Vezvaee, Arian; Nguyen, Long B.; Siddiqi, Irfan; Lidar, Daniel A.

doi:10.1103/physrevlett.134.050601

Qudit Dynamical Decoupling on a Superconducting Quantum Processor

Journal Article · Tue Feb 04 00:00:00 EST 2025 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.134.050601· OSTI ID:2562811

^[1]; ^[2]; ^[1]; ^[2]; Siddiqi, Irfan ^[2]; ^[1]

Univ. of Southern California, Los Angeles, CA (United States)
University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Multilevel qudit systems are increasingly being explored as alternatives to traditional qubit systems due to their denser information storage and processing potential. However, qudits are more susceptible to decoherence than qubits due to increased loss channels, noise sensitivity, and crosstalk. To address these challenges, we develop protocols for dynamical decoupling (DD) of qudit systems based on the Heisenberg-Weyl group. We implement and experimentally verify these DD protocols on a superconducting transmon processor that supports qudit operation based on qutrits (d = 3) and ququarts (d = 4). Specifically, we demonstrate single-qudit DD sequences to decouple qutrits and ququarts from system-bath-induced decoherence. Here we also introduce two-qudit DD sequences designed to suppress the detrimental cross-Kerr couplings between coupled qudits. This allows us to demonstrate a significant improvement in the fidelity of time-evolved qutrit Bell states. Our results highlight the utility of leveraging DD to enable scalable qudit-based quantum computing.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); US Army Research Laboratory (USARL); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2562811

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 134; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (57)

Modified Carr-Purcell-Meiboom-Gill sequence for NMR fourier imaging applications Maudsley, A. A. Journal of Magnetic Resonance (1969), Vol. 69, Issue 3 https://doi.org/10.1016/0022-2364(86)90160-5	journal	October 1986
Symmetrizing evolutions Zanardi, Paolo Physics Letters A, Vol. 258, Issue 2-3 https://doi.org/10.1016/S0375-9601(99)00365-5	journal	July 1999
Suppressing environmental noise in quantum computation through pulse control Duan, Lu-Ming; Guo, Guang-Can Physics Letters A, Vol. 261, Issue 3-4 https://doi.org/10.1016/S0375-9601(99)00592-7	journal	October 1999
Implementation of a Toffoli gate with superconducting circuits Fedorov, A.; Steffen, L.; Baur, M. Nature, Vol. 481, Issue 7380 https://doi.org/10.1038/nature10713	journal	December 2011
On-chip generation of high-dimensional entangled quantum states and their coherent control Kues, Michael; Reimer, Christian; Roztocki, Piotr Nature, Vol. 546, Issue 7660 https://doi.org/10.1038/nature22986	journal	June 2017
A programmable qudit-based quantum processor Chi, Yulin; Huang, Jieshan; Zhang, Zhanchuan Nature Communications, Vol. 13, Issue 1 https://doi.org/10.1038/s41467-022-28767-x	journal	March 2022
High-fidelity qutrit entangling gates for superconducting circuits Goss, Noah; Morvan, Alexis; Marinelli, Brian Nature Communications, Vol. 13, Issue 1 https://doi.org/10.1038/s41467-022-34851-z	journal	December 2022
Native qudit entanglement in a trapped ion quantum processor Hrmo, Pavel; Wilhelm, Benjamin; Gerster, Lukas Nature Communications, Vol. 14, Issue 1 https://doi.org/10.1038/s41467-023-37375-2	journal	April 2023
Experimental Greenberger–Horne–Zeilinger entanglement beyond qubits Erhard, Manuel; Malik, Mehul; Krenn, Mario Nature Photonics, Vol. 12, Issue 12 https://doi.org/10.1038/s41566-018-0257-6	journal	October 2018
A universal qudit quantum processor with trapped ions Ringbauer, Martin; Meth, Michael; Postler, Lukas Nature Physics, Vol. 18, Issue 9 https://doi.org/10.1038/s41567-022-01658-0	journal	July 2022
Programmable Heisenberg interactions between Floquet qubits Nguyen, Long B.; Kim, Yosep; Hashim, Akel Nature Physics, Vol. 20, Issue 2 https://doi.org/10.1038/s41567-023-02326-7	journal	January 2024
Quantum systems with finite Hilbert space Vourdas, A. Reports on Progress in Physics, Vol. 67, Issue 3 https://doi.org/10.1088/0034-4885/67/3/R03	journal	February 2004
High fidelity quantum memory via dynamical decoupling: theory and experiment Peng, Xinhua; Suter, Dieter; Lidar, Daniel A. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 15 https://doi.org/10.1088/0953-4075/44/15/154003	journal	July 2011
Hamiltonian quantum simulation with bounded-strength controls Bookatz, Adam D.; Wocjan, Pawel; Viola, Lorenza New Journal of Physics, Vol. 16, Issue 4 https://doi.org/10.1088/1367-2630/16/4/045021	journal	April 2014
Encoding a qubit into multilevel subspaces Grace, Matthew; Brif, Constantin; Rabitz, Herschel New Journal of Physics, Vol. 8, Issue 3 https://doi.org/10.1088/1367-2630/8/3/035	journal	March 2006
Blueprint for a High-Performance Fluxonium Quantum Processor Nguyen, Long B.; Koolstra, Gerwin; Kim, Yosep PRX Quantum, Vol. 3, Issue 3 https://doi.org/10.1103/PRXQuantum.3.037001	journal	August 2022
Universal Qudit Gate Synthesis for Transmons Fischer, Laurin E.; Chiesa, Alessandro; Tacchino, Francesco PRX Quantum, Vol. 4, Issue 3 https://doi.org/10.1103/PRXQuantum.4.030327	journal	August 2023
Modeling Low- and High-Frequency Noise in Transmon Qubits with Resource-Efficient Measurement Tripathi, Vinay; Chen, Huo; Levenson-Falk, Eli PRX Quantum, Vol. 5, Issue 1 https://doi.org/10.1103/PRXQuantum.5.010320	journal	February 2024
Deterministic Generation of Qudit Photonic Graph States from Quantum Emitters Raissi, Zahra; Barnes, Edwin; Economou, Sophia E. PRX Quantum, Vol. 5, Issue 2 https://doi.org/10.1103/PRXQuantum.5.020346	journal	May 2024
Efficient Long-Range Entanglement Using Dynamic Circuits Bäumer, Elisa; Tripathi, Vinay; Wang, Derek S. PRX Quantum, Vol. 5, Issue 3 https://doi.org/10.1103/PRXQuantum.5.030339	journal	August 2024
Operation and intrinsic error budget of a two-qubit cross-resonance gate Tripathi, Vinay; Khezri, Mostafa; Korotkov, Alexander N. Physical Review A, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevA.100.012301	journal	July 2019
Dynamical suppression of decoherence in two-state quantum systems Viola, Lorenza; Lloyd, Seth Physical Review A, Vol. 58, Issue 4 https://doi.org/10.1103/PhysRevA.58.2733	journal	October 1998
Using parity kicks for decoherence control Vitali, D.; Tombesi, P. Physical Review A, Vol. 59, Issue 6 https://doi.org/10.1103/PhysRevA.59.4178	journal	June 1999
Multivalued logic gates for quantum computation Muthukrishnan, Ashok; Stroud, C. R. Physical Review A, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevA.62.052309	journal	October 2000
Quantum encodings in spin systems and harmonic oscillators Bartlett, Stephen D.; de Guise, Hubert; Sanders, Barry C. Physical Review A, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevA.65.052316	journal	May 2002
Dynamical decoupling using slow pulses: Efficient suppression of1/fnoise Shiokawa, K.; Lidar, D. A. Physical Review A, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevA.69.030302	journal	March 2004
Efficient decoupling schemes with bounded controls based on Eulerian orthogonal arrays Wocjan, Pawel Physical Review A, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevA.73.062317	journal	June 2006
Performance of deterministic dynamical decoupling schemes: Concatenated and periodic pulse sequences Khodjasteh, Kaveh; Lidar, Daniel A. Physical Review A, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevA.75.062310	journal	June 2007
Charge-insensitive qubit design derived from the Cooper pair box Koch, Jens; Yu, Terri M.; Gambetta, Jay Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.042319	journal	October 2007
Rigorous bounds for optimal dynamical decoupling Uhrig, Götz S.; Lidar, Daniel A. Physical Review A, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevA.82.012301	journal	July 2010
Dynamical rephasing of ensembles of qudits Vitanov, Nikolay V. Physical Review A, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevA.92.022314	journal	August 2015
Quantum error-correcting code for ternary logic Majumdar, Ritajit; Basu, Saikat; Ghosh, Shibashis Physical Review A, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevA.97.052302	journal	May 2018
Suppression of Crosstalk in Superconducting Qubits Using Dynamical Decoupling Tripathi, Vinay; Chen, Huo; Khezri, Mostafa Physical Review Applied, Vol. 18, Issue 2 https://doi.org/10.1103/PhysRevApplied.18.024068	journal	August 2022
Dynamical decoupling for superconducting qubits: A performance survey Ezzell, Nic; Pokharel, Bibek; Tewala, Lina Physical Review Applied, Vol. 20, Issue 6 https://doi.org/10.1103/PhysRevApplied.20.064027	journal	December 2023
Quasiparticle tunneling and 1/f charge noise in ultrastrongly coupled superconducting qubit and resonator Tomonaga, A.; Mukai, H.; Yoshihara, F. Physical Review B, Vol. 104, Issue 22 https://doi.org/10.1103/PhysRevB.104.224509	journal	December 2021
Robust Dynamical Decoupling for Quantum Computing and Quantum Memory Souza, Alexandre M.; Álvarez, Gonzalo A.; Suter, Dieter Physical Review Letters, Vol. 106, Issue 24 https://doi.org/10.1103/PhysRevLett.106.240501	journal	June 2011
Enhanced Fault-Tolerant Quantum Computing in d -Level Systems Campbell, Earl T. Physical Review Letters, Vol. 113, Issue 23 https://doi.org/10.1103/PhysRevLett.113.230501	journal	December 2014
Demonstration of Fidelity Improvement Using Dynamical Decoupling with Superconducting Qubits Pokharel, Bibek; Anand, Namit; Fortman, Benjamin Physical Review Letters, Vol. 121, Issue 22 https://doi.org/10.1103/PhysRevLett.121.220502	journal	November 2018
Photon-Mediated Spin-Exchange Dynamics of Spin-1 Atoms Davis, Emily J.; Bentsen, Gregory; Homeier, Lukas Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/PhysRevLett.122.010405	journal	January 2019
Quantum Teleportation in High Dimensions Luo, Yi-Han; Zhong, Han-Sen; Erhard, Manuel Physical Review Letters, Vol. 123, Issue 7 https://doi.org/10.1103/PhysRevLett.123.070505	journal	August 2019
Quantum Crosstalk Robust Quantum Control Zhou, Zeyuan; Sitler, Ryan; Oda, Yasuo Physical Review Letters, Vol. 131, Issue 21 https://doi.org/10.1103/PhysRevLett.131.210802	journal	November 2023
Dissipative Dynamics of Graph-State Stabilizers with Superconducting Qubits Shirizly, Liran; Misguich, Grégoire; Landa, Haggai Physical Review Letters, Vol. 132, Issue 1 https://doi.org/10.1103/PhysRevLett.132.010601	journal	January 2024
Quantum Fourier Transform Using Dynamic Circuits Bäumer, Elisa; Tripathi, Vinay; Seif, Alireza Physical Review Letters, Vol. 133, Issue 15 https://doi.org/10.1103/PhysRevLett.133.150602	journal	October 2024
Dynamical Decoupling of Open Quantum Systems Viola, Lorenza; Knill, Emanuel; Lloyd, Seth Physical Review Letters, Vol. 82, Issue 12 https://doi.org/10.1103/PhysRevLett.82.2417	journal	March 1999
Fault-Tolerant Quantum Dynamical Decoupling Khodjasteh, K.; Lidar, D. A. Physical Review Letters, Vol. 95, Issue 18 https://doi.org/10.1103/PhysRevLett.95.180501	journal	October 2005
Practical trapped-ion protocols for universal qudit-based quantum computing Low, Pei Jiang; White, Brendan M.; Cox, Andrew A. Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033128	journal	July 2020
Protecting operations on qudits from noise by continuous dynamical decoupling Napolitano, Reginaldo de Jesus; Fanchini, Felipe Fernandes; da Silva, Adonai Hilario Physical Review Research, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevResearch.3.013235	journal	March 2021
Quantum Information Scrambling on a Superconducting Qutrit Processor Blok, M. S.; Ramasesh, V. V.; Schuster, T. Physical Review X, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevX.11.021010	journal	April 2021
Quick Quantum Steering: Overcoming Loss and Noise with Qudits Srivastav, Vatshal; Valencia, Natalia Herrera; McCutcheon, Will Physical Review X, Vol. 12, Issue 4 https://doi.org/10.1103/PhysRevX.12.041023	journal	November 2022
Robust Hamiltonian Engineering for Interacting Qudit Systems Zhou, Hengyun; Gao, Haoyang; Leitao, Nathaniel T. Physical Review X, Vol. 14, Issue 3 https://doi.org/10.1103/PhysRevX.14.031017	journal	July 2024
Magic-State Distillation in All Prime Dimensions Using Quantum Reed-Muller Codes Campbell, Earl T.; Anwar, Hussain; Browne, Dan E. Physical Review X, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevX.2.041021	journal	December 2012
High-Coherence Fluxonium Qubit Nguyen, Long B.; Lin, Yen-Hsiang; Somoroff, Aaron Physical Review X, Vol. 9, Issue 4 https://doi.org/10.1103/PhysRevX.9.041041	journal	November 2019
Colloquium : Protecting quantum information against environmental noise Suter, Dieter; Álvarez, Gonzalo A. Reviews of Modern Physics, Vol. 88, Issue 4 https://doi.org/10.1103/RevModPhys.88.041001	journal	October 2016
Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling Seif, Alireza; Liao, Haoran; Tripathi, Vinay 2024 ACM/IEEE 51st Annual International Symposium on Computer Architecture (ISCA) https://doi.org/10.1109/ISCA59077.2024.00031	conference	June 2024
Equivalence of Decoupling Schemes and Orthogonal Arrays Rotteler, M.; Wocjan, P. IEEE Transactions on Information Theory, Vol. 52, Issue 9 https://doi.org/10.1109/TIT.2006.880059	journal	September 2006
Improved Bounded-Strength Decoupling Schemes for Local Hamiltonians Bookatz, Adam D.; Roetteler, Martin; Wocjan, Pawel IEEE Transactions on Information Theory, Vol. 62, Issue 5 https://doi.org/10.1109/TIT.2016.2535183	journal	May 2016
Qudits and High-Dimensional Quantum Computing Wang, Yuchen; Hu, Zixuan; Sanders, Barry C. Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.589504	journal	November 2020

Similar Records

Syncopated dynamical decoupling to suppress crosstalk in quantum circuits

Journal Article · Tue Oct 07 20:00:00 EDT 2025 · Physical Review Applied · OSTI ID:2446951

Extending the computational reach of a superconducting qutrit processor

Journal Article · Sun Oct 13 20:00:00 EDT 2024 · npj Quantum Information · OSTI ID:2479284

Parallelism for quantum computation with qudits

Journal Article · Fri Sep 15 00:00:00 EDT 2006 · Physical Review. A · OSTI ID:20857687

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Open quantum systems & decoherence
Quantum algorithms & computation
Quantum computation
Quantum control
Quantum error correction
Quantum information processing
Qudits

Qudit Dynamical Decoupling on a Superconducting Quantum Processor

Citation Formats

References (57)

Similar Records

Related Subjects