Author

D. Shepelyansky

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Preprint Aug 2026

Time reversal of complex evolution on a quantum computer

The Boltzmann-Loschmidt dispute in 1876-1877 discussed the problem of time reversal of ther- malization from time reversible classical equations of motion. Here, 150 years later, we highlight this problem in the frame of quantum computing. A quantum protocol is proposed that allows to perform a time reversal of complex...

Mahdi Kourehpaz, D. Shepelyansky · 0 citations

Preprint Aug 2026

Small-world structure of quantum computer hardware

We show that the network of quantum register states of a quantum computer (QC), coupled through residual two-body interactions between qubits, exhibits small-world properties analogous to those of complex networks found in human society. The most probable Erd\H{o}s number between any two states is about 9, comparable t...

S. D. da Silva, D. Shepelyansky, J. Lages · 0 citations