The Quantum Perceptron: A Neuron Built From Qubits
Proposals for a quantum perceptron built from qubits and gates, how training would work, and how it compares with the classical perceptron.
Proposals for a quantum perceptron built from qubits and gates, how training would work, and how it compares with the classical perceptron.
Quantum generative adversarial networks pit a quantum generator against a discriminator. Architecture, training and possible applications.
Quantum Boltzmann machines as generative models: how they differ from classical ones, how they are trained and possible uses.
Coherent information measures how much quantum information survives a channel, and its regularized maximum gives the quantum capacity.
Quantum information splitting distributes a quantum state among parties so that they must cooperate to recover it. Protocols and uses.
How to decide whether two quantum states, circuits or systems are equivalent, and the computational complexity of these problems.
Quantum algorithmic probability extends Solomonoff’s universal prior and Kolmogorov complexity to quantum information. Ideas and uses.
Sampling problems such as boson sampling and random circuit sampling were used to demonstrate quantum advantage. Why they are hard classically.
Multilinear systems and tensor equations in quantum computing: the algebra involved, tensor networks, circuits and uses in machine learning.
Threshold logic gates fire when a weighted sum passes a threshold. How this idea is carried over to quantum circuits and where it might apply.
Quantum approaches to sparse coding and dictionary learning: how data might be encoded in quantum states and how they compare with classical ones.
Why quantum neural networks can be hard to train: barren plateaus, circuit depth, qubit connectivity, noise and the complexity trade-offs.