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Training deep quantum neural networks
A noise-robust architecture for a feedforward quantum neural network, with qudits as neurons and arbitrary unitary operations as perceptrons, whose training procedure is efficient in the number of layers.
Quantum equilibration in finite time
It has recently been shown that small quantum subsystems generically equilibrate, in the sense that they spend most of the time close to a fixed equilibrium state. This relies on just two…
A quantum cellular automaton for one-dimensional QED
A discrete spacetime formulation of quantum electrodynamics in one dimension in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates, is proposed, encompassing the notions of continuum limit and renormalization and providing a quantum simulation algorithm for the dynamics.
Equilibration towards generalized Gibbs ensembles in non-interacting theories
Even after almost a century, the foundations of quantum statistical mechanics are still not completely understood. In this work, we provide a precise account on these foundations for a class of…
Efficient Learning for Deep Quantum Neural Networks
- Kerstin Beer, Dmytro Bondarenko, Terry Farrelly, T. Osborne, Robert Salzmann, Ramona Wolf
- Computer ScienceArXiv
- 27 February 2019
This work proposes the use of quantum neurons as a building block for quantum feed-forward neural networks capable of universal quantum computation and describes the efficient training of these networks using the fidelity as a cost function and provides both classical and efficient quantum implementations.
Quantum systems equilibrate rapidly for most observables.
- Artur S. L. Malabarba, L. P. García-Pintos, N. Linden, Terry Farrelly, A. Short
- Economics, PhysicsPhysical review. E, Statistical, nonlinear, and…
- 5 February 2014
Considering any Hamiltonian, any initial state, and measurements with a small number of possible outcomes compared to the dimension, we show that most measurements are already equilibrated. To…
Thermalization and Return to Equilibrium on Finite Quantum Lattice Systems.
It is rigorously shown that states with exponentially decaying correlations equilibrate after a quantum quench, and it is shown that the equilibrium state is locally equivalent to a thermal state, provided that the free energy of the equilibriumState is sufficiently small and the thermal state has exponentially decaying correlated.
Uncertainty from Heisenberg to Today
We explore the different meanings of “quantum uncertainty” contained in Heisenberg’s seminal paper from 1927, and also some of the precise definitions that were developed later. We recount the…
Causal fermions in discrete space-time
In this paper, we consider fermionic systems in discrete space-time evolving with a strict notion of causality, meaning they evolve unitarily and with a bounded propagation speed. First, we show that…
- Terry Farrelly, Robert J. Harris, N. McMahon, T. Stace
- Computer SciencePhysical review letters
- 22 September 2020
It is shown that the exact tensor-network decoder (with no bond-dimension truncation) has polynomial complexity in the number of physical qubits, even for locally correlated noise, making this the first efficient decoder for holographic codes against Pauli noise and a rare example of a decoder that is both efficient and exact.