119 citations · 315 across the 13 of their papers we have counts for
13 papers
Quantum Convolutional Neural Network for Phase Recognition in Two Dimensions
Leon C. Sander, Nathan A. McMahon, Petr Zapletal +1
Quantum convolutional neural networks (QCNNs) are quantum circuits for characterizing complex quantum states. They have been proposed for recognizing quantum phases of matter at lo…
Error-tolerant quantum convolutional neural networks for symmetry-protected topological phases
Petr Zapletal, Nathan A. McMahon, Michael J. Hartmann
The analysis of noisy quantum states prepared on current quantum computers is getting beyond the capabilities of classical computing. Quantum neural networks based on parametrized…
Realizing Quantum Convolutional Neural Networks on a Superconducting Quantum Processor to Recognize Quantum Phases
Johannes Herrmann, Sergi Masot Llima, Ants Remm +15
Quantum computing crucially relies on the ability to efficiently characterize the quantum states output by quantum hardware. Conventional methods which probe these states through d…
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…
Tensor-network codes
Terry Farrelly, Robert J. Harris, Nathan A. McMahon +1
Inspired by holographic codes and tensor-network decoders, we introduce tensor-network stabilizer codes which come with a natural tensor-network decoder. These codes can correspond…
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…
A Resource Theory of Quantum Measurements
Thomas Guff, Nathan A. McMahon, Yuval R. Sanders +1
Resource theories are broad frameworks that capture how useful objects are in performing specific tasks. In this paper we devise a formal resource theory quantum measurements, focu…
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.…
Holographic spin networks from tensor network states
Sukhwinder Singh, Nathan A. McMahon, Gavin K. Brennen
In the holographic correspondence of quantum gravity, a global onsite symmetry at the boundary generally translates to a local gauge symmetry in the bulk. We describe one way how t…
Optimal architecture for a non-deterministic noiseless linear amplifier
N. A. McMahon, A. P. Lund, T. C. Ralph
Non-deterministic quantum noiseless linear amplifiers are a new technology with interest in both fundamental understanding and new applications. With a noiseless linear amplifier i…