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- Nicholas Chancellor, Aleks Kissinger, Joschka Roffe, Stefan Zohren, Dominic Horsman
- 2017

This is a minor interim update to fix a crucial typo and add a co-author, a complete rewrite will be uploaded to arχiv soon. We present a framework for constructing and analysing quantum error correction codes that gives simple and intuitive tools for designing codes based on device specifications. Built from a direct analog of classical parity checking,… (More)

The various entropy bounds that exist in the literature suggest that spacetime is fundamentally discrete, and hint at an underlying relationship between geometry and “information”. The foundation of this relationship is yet to be uncovered, but should manifest itself in a theory of quantum gravity. We present a measure for the maximal entropy of spherically… (More)

- Nathan Brent Chancellor, Stefan Zohren, Paul A. Warburton, Simon C. Benjamin, S. Roberts
- Scientific reports
- 2016

We demonstrate a direct mapping of max k-SAT problems (and weighted max k-SAT) to a Chimera graph, which is the non-planar hardware graph of the devices built by D-Wave Systems Inc. We further show that this mapping can be used to map a similar class of maximum satisfiability problems where the clauses are replaced by parity checks over potentially large… (More)

We define a new scaling limit of matrix models which can be related to the method of causal dynamical triangulations (CDT) used when investigating two-dimensional quantum gravity. Surprisingly, the new scaling limit of the matrix models is also a matrix model, thus explaining why the recently developed CDT continuum string field theory (arXiv:0802.0719) has… (More)

The recent progress in the Causal Dynamical Triangulations (CDT) approach to quantum gravity indicates that gravitation is nonperturbatively renormalizable. We review some of the latest results in 1+1 and 3+1 dimensions with special emphasis on the 1+1 model. In particular we discuss a nonperturbative implementation of the sum over topologies in the… (More)

- Stefan Zohren
- 2006

We describe the motivation behind the recent formulation of a nonperturbative path integral for Lorentzian quantum gravity defined through Causal Dynamical Triangulations (CDT). In the case of two dimensions the model is analytically solvable, leading to a genuine continuum theory of quantum gravity whose ground state describes a two-dimensional “universe”… (More)

We review a recently discovered continuum limit for the one-matrix model which describes " causal " two-dimensional quantum gravity. The behaviour of the quantum geometry in this limit is different from the quantum geometry of Euclidean two-dimensional quantum gravity defined by taking the " standard " continuum limit of the one-matrix model. Geodesic… (More)

- Stefan Zohren, Richard D. Gill
- Physical review letters
- 2008

We present a much simplified version of the Collins-Gisin-Linden-Massar-Popescu inequality for the 2x2xd Bell scenario. Numerical maximization of the violation of this inequality over all states and measurements suggests that the optimal state is far from maximally entangled, while the best measurements are the same as conjectured best measurements for the… (More)

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