3 citations · 4 across the 2 of their papers we have counts for
6 papers
Parallel decoding of multiple logical qubits in tensor-network codes
Terry Farrelly, Robert J. Harris, Nathan A. McMahon +1
We consider tensor-network stabilizer codes and show that their tensor-network decoder has the property that independent logical qubits can be decoded in parallel. As long as the e…
Decoding Holographic Codes with an Integer Optimisation Decoder
Robert J. Harris, Elliot Coupe, Nathan A. McMahon +2
We develop a most likely error Pauli error decoding algorithm for stabiliser codes based on general purpose integer optimisation. Using this decoder we analyse the performance of h…
Quantum State Discrimination as Bayesian Experimental Design
Thomas Guff, Yuval R. Sanders, Nathan A. McMahon +1
We show that quantum state discrimination sits neatly in the framework of Bayesian experimental design. In this setting, the two main branches of quantum state discrimination (mini…
MERA as a holographic strange correlator
Nathan A. McMahon, Sukhbinder Singh, Gavin K. Brennen
The multi-scale entanglement renormalization ansatz (MERA) is a tensor network that can efficiently parameterize critical ground states on a 1D lattice, and also suggestively imple…
Entanglement renormalization and symmetry fractionalization
Sukhbinder Singh, Nathan McMahon, Gavin Brennen
It is well known that the matrix product state (MPS) description of a gapped ground state with a global on-site symmetry can exhibit "symmetry fractionalization". Namely, even thou…
Calderbank-Steane-Shor Holographic Quantum Error Correcting Codes
Robert J. Harris, Nathan A. McMahon, Gavin K. Brennen +1
We expand the class of holographic quantum error correcting codes by developing the notion of block perfect tensors, a wider class that includes previously defined perfect tensors.…