Quantum computation and quantum information
Quantum computation and quantum information
Feynman Lectures on Computation
Feynman Lectures on Computation
Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications
Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications
Progress in Quantum Algorithms
Quantum Information Processing
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Handbook of Blind Source Separation: Independent Component Analysis and Applications
Handbook of Blind Source Separation: Independent Component Analysis and Applications
The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation
The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation
IEEE Transactions on Information Theory
Minimal entropy of states emerging from noisy quantum channels
IEEE Transactions on Information Theory
Remote preparation of quantum states
IEEE Transactions on Information Theory
Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel
IEEE Transactions on Information Theory
Exact and approximate quantum independent component analysis for qubit uncoupling
LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
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The Blind Source Separation problem consists in estimating a set of unknown source signals from their measured combinations. It was only investigated in a non-quantum framework up to now. We propose its first quantum extensions. We thus introduce the Quantum Source Separation field, investigating both its blind and non-blind configurations. More precisely, we show how to retrieve individual quantum bits (qubits) only from the global state resulting from their undesired coupling. We consider cylindrical-symmetry Heisenberg coupling, which e.g. occurs when two electron spins interact through exchange. We first propose several qubit uncoupling methods which typically measure repeatedly the coupled quantum states resulting from individual qubits preparations, and which then statistically process the classical data provided by these measurements. Numerical tests prove the effectiveness of these methods. We then derive a combination of quantum gates for performing qubit uncoupling, thus avoiding repeated qubit preparations and irreversible measurements.