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High-fidelity qutrit entangling gates for superconducting circuits

Journal Article · · Nature Communications
 [1];  [2];  [1];  [3];  [2];  [1];  [3];  [2];  [4];  [2];  [5];  [6]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Computational Research Division
  2. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Computational Research Division
  3. Univ. of California, Berkeley, CA (United States)
  4. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Materials Sciences Division
  5. Keysight Technologies Canada (Canada)
  6. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Computational Research Division; Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Materials Sciences Division

Ternary quantum information processing in superconducting devices poses a promising alternative to its more popular binary counterpart through larger, more connected computational spaces and proposed advantages in quantum simulation and error correction. Although generally operated as qubits, transmons have readily addressable higher levels, making them natural candidates for operation as quantum three-level systems (qutrits). Recent works in transmon devices have realized high fidelity single qutrit operation. Nonetheless, effectively engineering a high-fidelity two-qutrit entanglement remains a central challenge for realizing qutrit processing in a transmon device. In this work, we apply the differential AC Stark shift to implement a flexible, microwave-activated, and dynamic cross-Kerr entanglement between two fixed-frequency transmon qutrits, expanding on work performed for the ZZ interaction with transmon qubits. We then use this interaction to engineer efficient, high-fidelity qutrit CZ and CZ gates, with estimated process fidelities of 97.3(1)% and 95.2(3)% respectively, a significant step forward for operating qutrits on a multi-transmon device.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1991514
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 13; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (53)

Bilinear rotation decoupling of homonuclear scalar interactions journal December 1982
QuTiP: An open-source Python framework for the dynamics of open quantum systems journal August 2012
QuTiP 2: A Python framework for the dynamics of open quantum systems journal April 2013
Implementation of a Toffoli gate with superconducting circuits journal December 2011
Simplifying quantum logic using higher-dimensional Hilbert spaces journal December 2008
Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit journal October 2017
Characterizing large-scale quantum computers via cycle benchmarking journal November 2019
A programmable qudit-based quantum processor journal March 2022
Characterizing quantum supremacy in near-term devices journal April 2018
Logical-qubit operations in an error-detecting surface code journal December 2021
A universal qudit quantum processor with trapped ions journal July 2022
Engineering high-coherence superconducting qubits journal September 2021
Quantum supremacy using a programmable superconducting processor journal October 2019
Stabilization and operation of a Kerr-cat qubit journal August 2020
Quantum error correction of a qubit encoded in grid states of an oscillator journal August 2020
Exponential suppression of bit or phase errors with cyclic error correction journal July 2021
Realizing repeated quantum error correction in a distance-three surface code journal May 2022
Computational speed-up with a single qudit journal October 2015
Topological quantum memory journal September 2002
Estimating the coherence of noise journal November 2015
Overcoming erasure errors with multilevel systems journal January 2017
Demonstration of quantum volume 64 on a superconducting quantum computing system journal March 2021
Fast parametric two-qubit gates with suppressed residual interaction using the second-order nonlinearity of a cubic transmon journal December 2020
Quantum-Fourier-transform-based quantum arithmetic with qudits journal March 2021
Charge-insensitive qubit design derived from the Cooper pair box journal October 2007
Factoring with qutrits: Shor's algorithm on ternary and metaplectic quantum architectures journal July 2017
Efficient Z gates for quantum computing journal August 2017
Quantum error-correcting code for ternary logic journal May 2018
Experimental High-Dimensional Greenberger-Horne-Zeilinger Entanglement with Superconducting Transmon Qutrits journal February 2022
Manipulating Biphotonic Qutrits journal February 2008
Control and Tomography of a Three Level Superconducting Artificial Atom journal November 2010
Scalable and Robust Randomized Benchmarking of Quantum Processes journal May 2011
Efficient Measurement of Quantum Gate Error by Interleaved Randomized Benchmarking journal August 2012
Enhanced Fault-Tolerant Quantum Computing in d -Level Systems journal December 2014
Hardware-Efficient and Fully Autonomous Quantum Error Correction in Superconducting Circuits journal April 2016
Experimental Demonstration of Fault-Tolerant State Preparation with Superconducting Qubits journal October 2017
Implementation of a Walsh-Hadamard Gate in a Superconducting Qutrit journal October 2020
Qutrit Randomized Benchmarking journal May 2021
Hardware-Efficient Microwave-Activated Tunable Coupling between Superconducting Qubits journal November 2021
Realization of an Error-Correcting Surface Code with Superconducting Qubits journal July 2022
Asymptotically Optimal Quantum Circuits for d -Level Systems journal June 2005
Arbitrary controlled-phase gate on fluxonium qubits using differential ac Stark shifts journal April 2022
Optimizing frequency allocation for fixed-frequency superconducting quantum processors journal April 2022
Circuit quantum electrodynamics journal May 2021
Quantum Error-Correcting Codes for Qudit Amplitude Damping journal June 2018
Asymptotic improvements to quantum circuits via qutrits
  • Gokhale, Pranav; Baker, Jonathan M.; Duckering, Casey
  • ISCA '19: The 46th Annual International Symposium on Computer Architecture, Proceedings of the 46th International Symposium on Computer Architecture https://doi.org/10.1145/3307650.3322253
conference June 2019
Quantum Computing in the NISQ era and beyond journal August 2018
Quantum crosstalk cancellation for fast entangling gates and improved multi-qubit performance text January 2021
Realization of arbitrary doubly-controlled quantum phase gates preprint January 2021
Introduction to Quantum Error Correction and Fault Tolerance text January 2021
Noise Improvements in Quantum Simulations of sQED using Qutrits preprint January 2022
Native qudit entanglement in a trapped ion quantum processor text January 2022
Quantum codes on a lattice with boundary preprint January 1998

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