Curator's Take
AI Commentary
This article demonstrates a concrete protocol for reversing the chaotic evolution of hundreds‑of‑qubit many‑body systems, directly tackling the quantum analogue of the classic Boltzmann–Loschmidt paradox. By showing that full entropy recovery is robust to realistic gate errors yet catastrophically sensitive to flipping even a single qubit, it highlights both the power and fragility of time‑reversal as a diagnostic tool for quantum chaos and error‑propagation studies. Because the scheme can be implemented on current superconducting processors or annealers, it opens an experimentally accessible route to probe irreversibility, benchmark coherence, and explore thermodynamic concepts on near‑term hardware.
— Mark Eatherly
Summary
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 evolution in the regime of many-body quantum chaos with many qubits. The system represents an evolution of qubits on a square lattice with inter-qubit next-nearest static couplings with a driven pulsed magnetic field. The system entropy grows rapidly to maximal values but returns to initial small values after time reversal. This time reversal is shown to be stable with respect to quantum gate imperfections. However, similar to the Lorenz butterfly effect, there is the butterfly effect of qubit when inversion of only one qubit breaks time reversibility of the whole system. It is argued that this protocol is accessible to nowadays quantum computers and annealers with hundreds of qubits.