Quantum generalisation of feedforward neural networks

K. Wan, O. Dahlsten, H. Kristjansson, R. Gardner, M. Kim

Nature Quantum Information 3, 36 (2017)

#quantumtheory#neuralnetworks#machinelearning

Download the PDF

LQ placeholderWe generalise neural networks into a quantum framework, demonstrating the possibility of quantum auto-encoders and teleportation.

We generalise neural networks into a quantum framework, demonstrating the possibility of quantum auto-encoders and teleportation.

We propose a quantum generalisation of a classical neural network. The classical neurons are firstly rendered reversible by adding ancillary bits. Then they are generalised to being quantum reversible, i.e. unitary. (The classical networks we generalise are called feedforward, and have step-function activation functions.) The quantum network can be trained efficiently using gradient descent on a cost function to perform quantum generalisations of classical tasks. We demonstrate numerically that it can: (i) compress quantum states onto a minimal number of qubits, creating a quantum autoencoder, and (ii) discover quantum communication protocols such as teleportation. Our general recipe is theoretical and implementation-independent. The quantum neuron module can naturally be implemented photonically.

LQ placeholder

Scale of non-locality for a system of n particles

S. Talaganis, I. Teimouri

Sub. to Physical Review D

LQ placeholder

How much can we influence the rate of innovation?

T. Fink, M. Reeves

Science Advances

LQ placeholder

The statistical physics of real-world networks

G. Cimini, T. Squartini, F. Saracco, D. Garlaschelli, A. Gabrielli, G. Caldarelli

Nature Reviews Physics

LQ placeholder

On defining the Hamiltonian beyond quantum theory

D. Branford, O. Dahlsten, A. Garner

Foundations of Physics

LQ placeholder

Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy

R. Farr, Z. Vukmanovic, M. Holness, E. Griffiths

Physical Review Materials

LQ placeholder

Tackling information asymmetry in networks: a new entropy-based ranking index

P. Barucca, G. Caldarelli, T. Squartini

Journal of Statistical Physics

LQ placeholder

Eigenvalues of subgraphs of the cube

B. Bollobás, J. Lee, S. Letzter

European Journal of Combinatorics

LQ placeholder

Maximum one-shot dissipated work from Rényi divergences

N. Halpern, A. Garner, O. Dahlsten, V. Vedral

Physical Review E

123 / 123 papers