A continuous process tensor is defined by embedding the discrete multi-partite Choi matrix of a quantum comb into bosonic Fock space, closing the gap between discrete and continuum descriptions of multi-time quantum processes.
Heller, Hugo Marrochio, and Fernando Pastawski
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Exact non-perturbative calculation shows circuit complexity stays finite at the bounce and its post-bounce growth correlates with cosmological particle production via a chirping term.
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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An operational continuum limit of quantum combs
A continuous process tensor is defined by embedding the discrete multi-partite Choi matrix of a quantum comb into bosonic Fock space, closing the gap between discrete and continuum descriptions of multi-time quantum processes.
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Quantum Circuit Complexity as a Measure of Particle Creation in Bouncing Cosmologies
Exact non-perturbative calculation shows circuit complexity stays finite at the bounce and its post-bounce growth correlates with cosmological particle production via a chirping term.
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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.