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The Oxford 750MHz NMR Spectrometer

The Oxford 750MHz NMR Spectrometer

Prof Jonathan Jones

Professor of Physics

Research theme

  • Quantum information and computation

Sub department

  • Atomic and Laser Physics

Research groups

  • NMR quantum computing
jonathan.jones@physics.ox.ac.uk
  • About
  • Publications

Controlling NMR spin systems for quantum computation

Progress in Nuclear Magnetic Resonance Spectroscopy Elsevier 140-141 (2024) 49-85

Abstract:

Nuclear magnetic resonance is arguably both the best available quantum technology for implementing simple quantum computing experiments and the worst technology for building large scale quantum computers that has ever been seriously put forward. After a few years of rapid growth, leading to an implementation of Shor's quantum factoring algorithm in a seven-spin system, the field started to reach its natural limits and further progress became challenging. Rather than pursuing more complex algorithms on larger systems, interest has now largely moved into developing techniques for the precise and efficient manipulation of spin states with the aim of developing methods that can be applied in other more scalable technologies and within conventional NMR. However, the user friendliness of NMR implementations means that they remain popular for proof-of-principle demonstrations of simple quantum information protocols.
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Controlling NMR spin systems for quantum computation

ArXiv 2402.01308 (2024)
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Efficiently computing the Uhlmann fidelity for density matrices

Physical Review A American Physical Society 107 (2023) 012427

Authors:

Andrew Baldwin, Jonathan Jones

Abstract:

We consider the problem of efficiently computing the Uhlmann fidelity in the case when explicit density matrix descriptions are available. We derive an alternative formula which is simpler to evaluate numerically, saving a factor of 10 in time for large matrices.
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Efficiently computing the Uhlmann fidelity for density matrices

ArXiv 2211.02623 (2022)

Authors:

Andrew J Baldwin, Jonathan A Jones
Details from ArXiV

Cross-verification of independent quantum devices

Physical Review X American Physical Society 11:3 (2021) 031049

Authors:

C Greganti, TF Demarie, M Ringbauer, JA Jones, V Saggio, IA Calafell, LA Rozema, A Erhard, M Meth, L Postler, R Stricker, P Schindler, R Blatt, T Monz, P Walther, JF Fitzsimons

Abstract:

Quantum computers are on the brink of surpassing the capabilities of even the most powerful classical computers, which naturally raises the question of how one can trust the results of a quantum computer when they cannot be compared to classical simulation Here, we present a cross-verification technique that exploits the principles of measurement-based quantum computation to link quantum circuits of different input size, depth, and structure. Our technique enables consistency checks of quantum computations between independent devices, as well as within a single device. We showcase our protocol by applying it to five state-of-the-art quantum processors, based on four distinct physical architectures: nuclear magnetic resonance, superconducting circuits, trapped ions, and photonics, with up to six qubits and up to 200 distinct circuits.
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