Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border

Abstract

Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits $nsimeq 100-1000$, far beyond the quantum chaos border. One of the manifestations of such a thermalized non-equilibrated matter is revealed by a strongasymmetry around 90$^circ $ c.m. of evaporating proton yield in the Bi($gamma$,p) photonuclear reaction. The effect is described in terms of anomalously slow cross symmetry phase relaxation in highly excited quantum many-body systems withexponentially large Hilbert space dimensions. In the above reaction this phase relaxation is about eight orders of magnitude slower than energy relaxation (thermalization).

Keywords

• anomalously slow cross symmetry phase relaxation
• Bi($gamma$
• p) photonuclear compound reaction
• quantum chaos
• thermalized non-equilibrated matter
• quantum computing