### News

#### Visiting Professor at the University of Innsbruck

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. |

#### Editor's Suggestion in Physical Review Letters

The paper Measurement-based Classical Computation (previously called "Exact sampling and entanglement-free resources for measurement-based quantum computation") has been accepted in Physical Review Letters as an Editor's Suggestion.Links: |

#### PhD opportunities - New Centre for Doctoral Training in Quantum Technology at UCL

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: |

#### New pre-print: Fast Decoders for Topological Quantum Codes

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 |

#### PhD Viva Success

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. |

#### New article in Physical Review X

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.
Our starting point was curiosity: Can we achieve magic-state distillation in more complex systems? Quantum computing is usually conceived in terms of qubits, but this need not be the case. In fact, qudits can be the basis for a quantum computer, and we designed methods of magic-state distillation for all prime numbers d. To our surprise, by exploiting new insights into number-theoretic properties of qudit computers, some of our protocols offer substantial improvements over their better-known qubit cousins. In particular, five levels appear as the optimal case where our protocol outperforms all previously discovered protocols in all figures of merit. Notably, the potential resource savings in device memory could easily be on the order of a millionfold. This work opens the door for the development of qudit-based fault-tolerance schemes based on magic-state distillation. These schemes may offer significant advantages over their qubit counterparts and hence bring the development of a scalable quantum computer closer to our grasp. |

#### AQC 2013 - Second Workshop in Adiabatic Quantum Computation

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: |

#### Matty Hoban wins Carey-Foster Prize

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. Congratulations, Matty! |

#### New article in the New Journal of Physics

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. |

#### New pre-print - Magic state distillation in all prime dimensions using quantum Reed-Muller codes

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: http://pirsa.org/12050011 Summary 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. |