The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
More global randomness from less random local gates,
5 Pith papers cite this work. Polarity classification is still indexing.
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Brickwall circuits from Haar-random, dual-unitary, and solvable two-qubit gates are tested as quantum reservoirs, showing effective fading memory and prediction accuracy on synthetic time-series data.
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
Quantum chaotic dynamics with positive entropy production universally links to von Neumann entropy and noise modeling in quantum information processing.
citing papers explorer
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Low Rank Structure of the Reduced Transition Matrix
The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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Evaluating quantum circuits in the reservoir computing paradigm
Brickwall circuits from Haar-random, dual-unitary, and solvable two-qubit gates are tested as quantum reservoirs, showing effective fading memory and prediction accuracy on synthetic time-series data.
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Lecture Notes on Replica Tensor Networks for Random Quantum Circuits
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
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Quantum Chaos and Quantum Information: Interactions and Implications
Quantum chaotic dynamics with positive entropy production universally links to von Neumann entropy and noise modeling in quantum information processing.
- Graph-State Circuit Blocks control Entanglement and Scrambling Velocities