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Schrödinger cat states of a nuclear spin qudit in silicon

Journal Article · · Nature Physics
 [1];  [1];  [1];  [1];  [1];  [1];  [1];  [1];  [2];  [3];  [4];  [5];  [6];  [6];  [7];  [8];  [4];  [3];  [2];  [1]
  1. University of New South Wales, Sydney, NSW (Australia)
  2. Centre for Quantum Computation and Communication Technology, Melbourne, VIC (Australia); University of Melbourne, VIC (Australia)
  3. University of Calgary, AB (Canada)
  4. University of New South Wales, Sydney, NSW (Australia); Diraq Pty. Ltd, Sydney, NSW (Australia)
  5. Keio University, Yokohama (Japan)
  6. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
  7. HRL Laboratories, LLC, Malibu, CA (United States)
  8. NASA Ames Research Center (ARC), Moffett Field, Mountain View, CA (United States); KBR, Inc., Houston, TX (United States)
+ Show Author Affiliations
High-dimensional quantum systems are a valuable resource for quantum information processing. They can be used to encode error-correctable logical qubits, which has been demonstrated using continuous-variable states in microwave cavities or the motional modes of trapped ions. For example, high-dimensional systems can be used to realize ‘Schrödinger cat’ states, which are superpositions of widely displaced coherent states that can be used to illustrate quantum effects at large scales. Recent proposals have suggested encoding qubits in high-spin atomic nuclei, which are finite-dimensional systems that can host hardware-efficient versions of continuous-variable codes. Here, in this study, we demonstrate the creation and manipulation of Schrödinger cat states using the spin-7/2 nucleus of an antimony atom embedded in a silicon nanoelectronic device. We use a multi-frequency control scheme to produce spin rotations that preserve the symmetry of the qudit, and we constitute logical Pauli operations for qubits encoded in the Schrödinger cat states. Our work demonstrates the ability to prepare and control non-classical resource states, which is a prerequisite for applications in quantum information processing and quantum error correction, using our scalable, manufacturable semiconductor platform.
Research Organization:
Sandia National Laboratories (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
Australian Department of Industry, Innovation and Science; Australian Research Council (ARC); National Aeronautics and Space Administration (NASA); Royal Society (UK); US Army Research Office (ARO); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2540246
Report Number(s):
SAND--2025-03428J
Journal Information:
Nature Physics, Journal Name: Nature Physics Journal Issue: 3 Vol. 21; ISSN 1745-2473
Publisher:
Nature Publishing Group (NPG)Copyright Statement
Country of Publication:
United States
Language:
English

References (42)

Jellybean Quantum Dots in Silicon for Qubit Coupling and On‐Chip Quantum Chemistry journal March 2023
Scalable Atomic Arrays for Spin‐Based Quantum Computers in Silicon journal August 2024
Donor Spins in Silicon for Quantum Technologies journal July 2020
Generalized phase-space techniques to explore quantum phase transitions in critical quantum spin systems journal November 2023
Generation of optical ‘Schrödinger cats’ from photon number states journal August 2007
Storing quantum information for 30 seconds in a nanoelectronic device journal October 2014
Silicon quantum processor with robust long-distance qubit couplings journal September 2017
Quantum-enhanced sensing using non-classical spin states of a highly magnetic atom journal November 2018
Native qudit entanglement in a trapped ion quantum processor journal April 2023
Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields journal February 2024
Generalized Ramsey interferometry explored with a single nuclear spin qudit journal October 2018
Exponential suppression of bit-flips in a qubit encoded in an oscillator journal March 2020
Encoding a qubit in a trapped-ion mechanical oscillator journal February 2019
Coherent electrical control of a single high-spin nucleus in silicon journal March 2020
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
Precision tomography of a three-qubit donor quantum processor in silicon journal January 2022
Qubits made by advanced semiconductor manufacturing journal March 2022
Vibration-induced electrical noise in a cryogen-free dilution refrigerator: Characterization, mitigation, and impact on qubit coherence journal July 2016
Nanoscale broadband transmission lines for spin qubit control journal December 2012
Negativity of the Wigner function as an indicator of non-classicality journal August 2004
Non-Gaussian Quantum States and Where to Find Them journal September 2021
Fault-Tolerant Quantum Computation Using Large Spin-Cat Codes journal June 2024
Fault-tolerant qubit encoding using a spin-7/2 qudit journal December 2023
Theory of quantum error-correcting codes journal February 1997
Discrete Moyal-type representations for a spin journal December 2000
Encoding a qubit in an oscillator journal June 2001
Efficient Z gates for quantum computing journal August 2017
Hardware-efficient error-correcting codes for large nuclear spins journal July 2024
Grover algorithm for large nuclear spins in semiconductors journal October 2003
Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System journal June 2015
Cavity State Manipulation Using Photon-Number Selective Phase Gates journal September 2015
Designing Codes around Interactions: The Case of a Spin journal July 2021
Experimental realization of any discrete unitary operator journal July 1994
Asymptotically Optimal Quantum Circuits for d -Level Systems journal June 2005
Robust macroscopic Schrödinger's cat on a nucleus journal January 2024
Quantum information with continuous variables journal June 2005
Macroscopic quantum states: Measures, fragility, and implementations journal May 2018
Reducing quantum computations to elementary unitary operations journal January 2001
Room-Temperature Quantum Bit Storage Exceeding 39 Minutes Using Ionized Donors in Silicon-28 journal November 2013
Qudits and High-Dimensional Quantum Computing journal November 2020
Schrödinger cat states of a nuclear spin qudit in silicon dataset January 2025

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