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CMP
Credit: Jack Hobhouse

Peter Leek

Research Fellow

Sub department

  • Condensed Matter Physics

Research groups

  • Superconducting quantum devices
peter.leek@physics.ox.ac.uk
Telephone: 01865 (2)72364,01865 (2)82066
Clarendon Laboratory, room 018,104
  • About
  • Publications

Efficient Characterization of Qudit Logical Gates with Gate Set Tomography Using an Error-Free Virtual Z Gate Model.

Physical review letters 133:12 (2024) 120802

Authors:

Shuxiang Cao, Deep Lall, Mustafa Bakr, Giulio Campanaro, Simone D Fasciati, James Wills, Vivek Chidambaram, Boris Shteynas, Ivan Rungger, Peter J Leek

Abstract:

Gate set tomography (GST) characterizes the process matrix of quantum logic gates, along with measurement and state preparation errors in quantum processors. GST typically requires extensive data collection and significant computational resources for model estimation. We propose a more efficient GST approach for qudits, utilizing the qudit Hadamard and virtual Z gates to construct fiducials while assuming virtual Z gates are error-free. Our method reduces the computational costs of estimating characterization results, making GST more practical at scale. We experimentally demonstrate the applicability of this approach on a superconducting transmon qutrit.
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Emulating two qubits with a four-level transmon qudit for variational quantum algorithms

Quantum Science and Technology IOP Publishing 9:3 (2024) 035003

Authors:

Shuxiang Cao, Mustafa Bakr, Giulio Campanaro, Simone D Fasciati, James Wills, Deep Lall, Boris Shteynas, Vivek Chidambaram, Ivan Rungger, Peter Leek

Abstract:

Using quantum systems with more than two levels, or qudits, can scale the computational space of quantum processors more efficiently than using qubits, which may offer an easier physical implementation for larger Hilbert spaces. However, individual qudits may exhibit larger noise, and algorithms designed for qubits require to be recompiled to qudit algorithms for execution. In this work, we implemented a two-qubit emulator using a 4-level superconducting transmon qudit for variational quantum algorithm applications and analyzed its noise model. The major source of error for the variational algorithm was readout misclassification error and amplitude damping. To improve the accuracy of the results, we applied error-mitigation techniques to reduce the effects of the misclassification and qudit decay event. The final predicted energy value is within the range of chemical accuracy.
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Superconducting qubit readout enhanced by path signature

(2024)

Authors:

Shuxiang Cao, Zhen Shao, Jian-Qing Zheng, Mohammed Alghadeer, Simone D Fasciati, Michele Piscitelli, Peter A Spring, Shiyu Wang, Shuhei Tamate, Neel Vora, Yilun Xu, Gang Huang, Kasra Nowrouzi, Yasunobu Nakamura, Irfan Siddiqi, Peter Leek, Terry Lyons, Mustafa Bakr
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Encoding optimization for quantum machine learning demonstrated on a superconducting transmon qutrit

(2023)

Authors:

Shuxiang Cao, Weixi Zhang, Jules Tilly, Abhishek Agarwal, Mustafa Bakr, Giulio Campanaro, Simone D Fasciati, James Wills, Boris Shteynas, Vivek Chidambaram, Peter Leek, Ivan Rungger
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Searching for wave-like dark matter with QSHS

SciPost Physics Proceedings SciPost 12 (2023)

Authors:

Ian Bailey, Bhaswati Chakraborty, Gemma Chapman, Edward J Daw, John Gallop, Gianluca Gregori, Edward Hardy, Ling Hao, Edward Laird, Peter Leek, John March-Russell, Phil Meeson, Seaárbhan Ó Peatáin, Yuri Pashkin, Mitchell G Perry, Michele Piscitelli, Edward Romans, Subir Sarkar, Paul J Smith, Ningqiang Song, Mahesh Soni, Boon Kok Tan, Stephen West, Stafford Withington

Abstract:

In 2021 the Quantum Sensors for the Hidden Sector (QSHS) collaboration was founded in the UK and received funding to develop and demonstrate quantum devices with the potential to detect hidden sector particles in the μeV to 100 μeV mass window. The collaboration has been developing a range of devices. It is building a high-field, low-temperature facility at the University of Sheffield to characterise and test the devices in a haloscope geometry. This paper introduces the collaboration's motivation, aims, and progress.
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