15 citations · 37 across the 10 of their papers we have counts for
10 papers
Reconstructing non-Abelian braiding and fusion without anyon transport
Lucy Byles, Matthew D. Horner, Benjamin T. H. Varcoe +1
Non-Abelian anyons offer a route to fault-tolerant and universal quantum computing, but experimental access to their defining braiding and fusion data remains limited by the resour…
Tensor network compression using fluid dynamics as a testbed: Analytical foundations in one dimension
Matthew D. Horner, Callum W. Duncan, Oliver T. Brown +2
High performance computers produce extreme-scale data sets that require sampling or compression if they are to be used to their full potential. Existing data compression techniques…
Mitigating the barren plateau problem in linear optics
Matthew D. Horner
We prove that variational quantum algorithms using discrete variable boson samplers suffer from barren plateaus and that by changing to fermionic statistics, which is classically e…
Optimally scrambling chiral spin-chain with effective black hole geometry
Aiden Daniel, Andrew Hallam, Matthew D. Horner +1
There is currently significant interest in emulating the essential characteristics of black holes, such as their Hawking radiation or their optimal scrambling behavior, using conde…
Exploring interacting chiral spin chains in terms of black hole physics
Ewan Forbes, Matthew D. Horner, Andrew Hallam +2
In this paper we explore the properties of a 1-dimensional spin chain in the presence of chiral interactions, focusing on the system's transition to distinct chiral phases for vari…
Emergent Spacetime in Quantum Lattice Models
Matthew D. Horner
Many quantum lattice models have an emergent relativistic description in their continuum limit. The celebrated example is graphene, whose continuum limit is described by the Dirac…
Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics
Matthew D. Horner, Andrew Hallam, Jiannis K. Pachos
The interface between different quantum phases of matter can give rise to novel physics, such as exotic topological phases or non-unitary conformal field theories. Here we investig…
Edge density of bulk states due to relativity
Matthew D. Horner, Jiannis K. Pachos
The boundaries of quantum materials can host a variety of exotic effects such as topologically robust edge states or anyonic quasiparticles. Here, we show that fermionic systems su…
Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
Matthew D. Horner, Ashk Farjami, Jiannis K. Pachos
We demonstrate that gauge transformations and lattice deformations in Kitaev's honeycomb lattice model can have the same description in the continuum limit of the mo…
Geometric description of the Kitaev honeycomb lattice model
Ashk Farjami, Matthew D. Horner, Chris N. Self +2
It is widely accepted that topological superconductors can only have an effective interpretation in terms of curved geometry rather than gauge fields due to their charge neutrality…