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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 ...

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 ...

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 ...

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 ...