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Optimising Solovay-Kitaev for fault-tolerant quantum computers

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

Quantum computation promises a revolution in information processing, providing a route to efficiently solve classically hard problems such as factorisation and optimisation. In spite of the recent fanfare over “quantum supremacy”, there remains much work to be done to realise a fully functional quantum computer.

A corner-stone of the construction of algorithms that will run on a quantum computer is the Solovay-Kitaev Theorem. It proves that any unitary can be approximated using a small set of quantum gates (Clifford+T). Recent advances in this area (Kliuchnikov, Maslov & Mosca, Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates) have developed optimal results in terms of using the fewest possible gates to get the best possible approximation. These new techniques are crucial for accomplishing as much as possible with near-term quantum computers. This project will study some of the questions that are opened up by these recent results.

Funding Notes

Fully funded College studentships for Home/EU students are available on a competitive basis

Related Subjects

How good is research at Royal Holloway, University of London in Mathematical Sciences?

FTE Category A staff submitted: 14.00

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