Transversal Injection: Using the Surface Code to Prepare Non-Pauli Eigenstates

Jason Gavriel; Daniel Herr; Alexis Shaw; Michael J. Bremner; Alexandru Paler; Simon J. Devitt

doi:10.1109/QCE57702.2023.00105

Transversal Injection: Using the Surface Code to Prepare Non-Pauli Eigenstates

Jason Gavriel, Daniel Herr, Alexis Shaw, Michael J. Bremner, Alexandru Paler, Simon J. Devitt

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

Abstract

The development of quantum computing systems for large scale algorithms requires targeted error rates un-achievable through hardware advancements alone. Quantum Error Correction (QEC) allows us to use systems with a large number of physical qubits to form a fault tolerant system with a lower number of logical qubits and a favourable logical error rate. While some gates can be easily implemented in a QEC code transversally, there is no code that has a universal set of transversal gates. Transversal Injection is a new method of preparing logical non-Pauli eigenstates that can be used as resource states for quantum computation. State preparation can be done directly in the surface code and has the potential to prepare higher fidelity injected states. Compared to other techniques, transversal injection can reduce the resource burden for state distillation protocols. In this paper, the authors present the theory behind this new technique as well as an algorithm for calculating the resulting logical states prepared in the surface code

Original language	English
Title of host publication	2023 IEEE International Conference on Quantum Computing and Engineering (QCE)
Editors	Hausi Muller, Yuri Alexev, Andrea Delgado, Greg Byrd
Publisher	IEEE
Pages	910-915
Number of pages	6
ISBN (Electronic)	979-8-3503-4323-6
ISBN (Print)	979-8-3503-4324-3
DOIs	https://doi.org/10.1109/QCE57702.2023.00105
Publication status	Published - 22 Sept 2023
MoE publication type	A4 Conference publication
Event	IEEE International Conference on Quantum Computing and Engineering - Bellevue, WA, USA, Bellevue, United States Duration: 17 Sept 2023 → 22 Sept 2023

Conference

Conference	IEEE International Conference on Quantum Computing and Engineering
Abbreviated title	QCE
Country/Territory	United States
City	Bellevue
Period	17/09/2023 → 22/09/2023

Keywords

Codes
Protocols
Systematics
Error analysis
Qubit
Fault tolerant systems
Logic gates

Access to Document

10.1109/QCE57702.2023.00105

http://hdl.handle.net/10453/175367

Cite this

Gavriel, J., Herr, D., Shaw, A., Bremner, M. J., Paler, A., & Devitt, S. J. (2023). Transversal Injection: Using the Surface Code to Prepare Non-Pauli Eigenstates. In H. Muller, Y. Alexev, A. Delgado, & G. Byrd (Eds.), 2023 IEEE International Conference on Quantum Computing and Engineering (QCE) (pp. 910-915). Article 10313773 IEEE. https://doi.org/10.1109/QCE57702.2023.00105

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abstract = "The development of quantum computing systems for large scale algorithms requires targeted error rates un-achievable through hardware advancements alone. Quantum Error Correction (QEC) allows us to use systems with a large number of physical qubits to form a fault tolerant system with a lower number of logical qubits and a favourable logical error rate. While some gates can be easily implemented in a QEC code transversally, there is no code that has a universal set of transversal gates. Transversal Injection is a new method of preparing logical non-Pauli eigenstates that can be used as resource states for quantum computation. State preparation can be done directly in the surface code and has the potential to prepare higher fidelity injected states. Compared to other techniques, transversal injection can reduce the resource burden for state distillation protocols. In this paper, the authors present the theory behind this new technique as well as an algorithm for calculating the resulting logical states prepared in the surface code",

keywords = "Codes, Protocols, Systematics, Error analysis, Qubit, Fault tolerant systems, Logic gates",

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booktitle = "2023 IEEE International Conference on Quantum Computing and Engineering (QCE)",

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Gavriel, J, Herr, D, Shaw, A, Bremner, MJ, Paler, A & Devitt, SJ 2023, Transversal Injection: Using the Surface Code to Prepare Non-Pauli Eigenstates. in H Muller, Y Alexev, A Delgado & G Byrd (eds), 2023 IEEE International Conference on Quantum Computing and Engineering (QCE)., 10313773, IEEE, pp. 910-915, IEEE International Conference on Quantum Computing and Engineering, Bellevue, Washington, United States, 17/09/2023. https://doi.org/10.1109/QCE57702.2023.00105

Transversal Injection: Using the Surface Code to Prepare Non-Pauli Eigenstates. / Gavriel, Jason; Herr, Daniel; Shaw, Alexis et al.
2023 IEEE International Conference on Quantum Computing and Engineering (QCE). ed. / Hausi Muller; Yuri Alexev; Andrea Delgado; Greg Byrd. IEEE, 2023. p. 910-915 10313773.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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ER -

Transversal Injection: Using the Surface Code to Prepare Non-Pauli Eigenstates

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