From 12th May until 13th June 2014 I will be a visiting professor at the University of Innsbruck. I will be delivering a lecture course on Topological Codes and Quantum Computation.
Course materials can be found here.
A new Centre for Doctoral Training in Delivering Quantum Technologies funded by EPSRC will shortly be accepting applications. This provides an excellent opportunity for outstanding students to study a PhD in this research field at UCL. Dan Browne is one of the co-directors of the centre.
For more details (including application information) see:
In collaboration with Ben Brown (Imperial College) and Earl Campbell (Berlin), Dan Browne and Hussain Anwar have posted a new paper to the pre-print archive arxiv.org developing new error correction procedures for topological codes, and important class of error correcting codes for fault tolerant quantum computation.
Abstract: Qudit toric codes are a natural higher-dimensional generalization of the well-studied qubit toric code. However standard methods for error correction of the qubit toric code are not applicable to them. Novel decoders are needed. In this paper we introduce two renormalization group decoders for qudit codes and analyze their error correction thresholds and efficiency. The first decoder is a generalization of a "hard-decisions" decoder due to Bravyi and Haah [arXiv:1112.3252]. We modify this decoder to overcome a percolation effect which limits its threshold performance for high dimensions. The second decoder is a generalization of a "soft-decisions" decoder due to Poulin and Duclos-Cianci [Phys. Rev. Lett. 104, 050504 (2010)], with a small cell size to optimize the efficiency of implementation in the high dimensional case. In each case, we estimate thresholds for the uncorrelated bit-flip error model and provide a comparative analysis of the performance of both these approaches to error correction of qudit toric codes.
Link to pre-print: http://arxiv.org/abs/1311.4895
Congratulations to Hussain Anwar. Hussain passed his viva in defense of his PhD thesis entitled "Toward fault-tolerant quantum computation in higher dimensional systems" on October 30th. Hussain has now begun a post-doctoral research associateship at Brunel University.
Magic-State Distillation in All Prime Dimensions Using Quantum Reed-Muller Codes by Earl Campbell, Hussain Anwar and Dan Browne has now appeared in the open access journal Physical Review X.
Dan is local co-organiser of the Second International Workshop on Adiabatic Quantum Computing (AQC 2013), taking place in March 2013 and hosted and organised jointly by University College London and the Quantum Optics, Quantum Information and Quantum Control Group of the Institute of Physics, brings together researchers from different communities to explore this computational paradigm. The goal of the workshop is to initiate a cross-platform dialogue on the implementation challenges that must be overcome to realise useful adiabatic quantum computations in existing or near-term hardware. The workshop will have a special focus on AMO (Atomic, Molecular, and Optical) and solid-state technologies.
The workshop webpage is at the following link:
Former PhD student in this group, Dr Matty Hoban, has been awarded the Carey-Foster Prize for Outstanding Postgraduate Research Physics in the Atomic Molecular Optical and Positron Physics group at UCL.
Matty's PhD thesis is available on the pre-print arxiv.
Hussain and Dan's recent pre-print on Qutrit Magic State Distillation, co-authored with Earl Campbell at FU Berlin, has now been published in the New Journal of Physics.
This is an open-access journal, and the article is freely accessible via this link.
In collaboration with Earl Campbell at FU Berlin, Hussain and Dan have posted a new pre-print on magic state distillation to arxiv.org.
Magic state distillation in all prime dimensions using quantum Reed-Muller codes
You can see Dan give a recent seminar on this work at the Perimeter Institute Research Seminar Archive:
A quantum computer would exploit the non-classical aspects of quantum
mechanics to achieve modes of calculation impossible on conventional
"classical" computers. However, constructing a device large enough to
perform complex calculations represents a huge challenge for modern
physics. One reason for this is that the delicate quantum states
encoding the information are easily corrupted by the noise induced by
the environment or imperfections in the computer itself. Fortunately,
methods of fault tolerant quantum computation have been developed
which enable reliable quantum computation in the presence of noise. A
key component in many fault tolerance schemes is the preparation of
magic states, the essential ingredient for non-classical computation.
The magic states are prepared by distillation, a process that
exchanges quantity for computational potency.
Quantum computing is usually conceived in terms of qubits (two-level
systems) but this need not be the case. In fact, systems with any
number of levels known as qudits can be the basis for a quantum
computer. Here we prove, for the first time, that magic state
distillation can be achieved in qudits with any prime number of
levels. In particular, we show that for qutrits (three-level systems)
magic state distillation works equally well as its qubit counterpart,
and in some aspects it is even better. To devise the distillation
process we employ quantum variants of ideas from classical computer
science, called Reed-Muller codes. The techniques we develop are
important in their own right, with the quantum Reed-Muller codes
having useful applications beyond magic state distillation.
This opens the door for the development of qudit-based fault tolerance
schemes based on magic state distillation, which may offer significant
advantages over their qubit counterparts, and hence bring the
development of a scalable quantum computer closer to our grasp.
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