Probabilistic sparse synthesis of quantum operations

Applications: Quantum computing, magnetic resonance imaging, nuclear magnetic resonance

Many operations, such as quantum computing gates or control pulses for NMR/MRI, cannot be feasibly implemented using current hardware or require coherence times that are unachievable. Oxford researcher’s new probabilistic approach enables the exact implementation of such operations.

Features	Benefits
The method synthesises a desired quantum operation from a library of approximations that can be realised natively in quantum hardware.	The approach allows quantum operations to be synthesised that would be impossible to implement directly in current quantum hardware.
Uses classical computers to numerically pre-process the probabilistic scheme.	Achieves orders of magnitude lower measurement overheads than other probabilistic schemes.
Uses more generalised mathematical approach compared to other probabilistic techniques.	Can be applied to a broad range of scenarios including quantum gate synthesis, quantum optimum control, and NMR and MRI operations. It is directly compatible with error mitigation and advanced, randomised measurement techniques.
Doesn’t require both Clifford and T gate sequences unlike current probabilistic methods to synthesis quantum gates.	Can exactly synthesis a quantum operation requiring only a small increase in the number of times the operation needs to be repeated.

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Probabilistic sparse synthesis of quantum operations

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