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Št. zadetkov: 5
Optimalno generiranje prepletenosti z naključnimi kvantnimi vezji
Jaš Bensa, Marko Žnidarič
Magistrsko delo
Oznake: naključna kvantna vezja;prepletenost;kubiti;optimizacija;Markovska veriga;spektralna reža;
Naključna kvantna vezja uporabljamo kot model za opisovanje raznoraznih nedeterminističnih fizikalnih pojavov, saj služijo kot dobra aproksimacija naključnih unitarnih operatorjev in naključnih kvantnih stanj. Slednje se v fiziki uporablja na mnogih področjih zaradi njihove velike prepletenosti. V s ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Fastest local entanglement scrambler, multistage thermalization, and a non-Hermitian phantom
Jaš Bensa, Marko Žnidarič
Izvirni znanstveni članek
Oznake: statistična fizika;kvantna fizika;statistical physics;quantum physics;
We study random quantum circuits and their rate of producing bipartite entanglement, specifically with respect to the choice of 2-qubit gates and the order (protocol) in which these are applied. The problem is mapped to a Markovian process, and we prove that there are large spectral equivalence clas ...
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Purity decay rate in random circuits with different configurations of gates
Jaš Bensa, Marko Žnidarič
Izvirni znanstveni članek
Oznake: kvantna mehanika;statistična mehanika;quantum mechanics;statistical mechanics;
We study purity decay—a measure of bipartite entanglement—in a chain of $n$ qubits under the action of various geometries of nearest-neighbor random two-site unitary gates. We use a Markov chain description of average purity evolution, using further reduction to obtain a transfer matrix of only poly ...
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Phantom relaxation in non-Hermitian systems
Jaš Bensa, Marko Žnidarič
Doktorska disertacija
Oznake: pseudospectrum;random quantum circuits;non-Hermiticity;non-normal matrix;Markov chain;transfer matrix;entanglement;operator correlations;
Oftentimes, intuition gained from simple systems is used to predict the behavior of more complex scenarios. For example, if we iterate a vector with a Hermitian matrix its norm (or inner product with another vector) is expected to evolve exponentially in time with the exponent equal to the largest e ...
Leto: 2024 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Boom and bust cycles due to pseudospectra of matrices with unimodular spectra
Junaid Majeed Bhat, Jaš Bensa, Marko Žnidarič
Izvirni znanstveni članek
Oznake: psevdospekter;nenormalna matrika;eksponentna rast;pseudospectrum;non-normal matrices;exponential growth;
We discuss dynamics obtained by increasing powers of non-normal matrices that are roots of the identity and therefore have all eigenvalues on the unit circle. Naively, one would expect that the matrix elements of high powers of the matrix asymptotically cannot grow as one increases the power. We dem ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 5
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