Quantum repetition codes as building blocks of large-period discrete time crystals

Abstract

Discrete time crystals (DTCs) are exotic many-body phases of matter in which some observables exhibit robust subharmonic response to periodic driving. By highlighting the connection between DTCs and a quantum error correction model, we devise a general and realistic scheme for building DTCs exhibiting large period observable dynamics. This is accomplished by utilizing a series of Ising spin-1/2 chains, each of which simulates a quantum repetition code at the hardware level, and devising a time-periodic Hamiltonian which simulates the fault-tolerant implementation of appropriate logical quantum gates.

Polaritonic and Excitonic Semiclassical Time Crystals based on TMDC strips in an external periodic potential

“…It has been shown that coupling TCs to entangled systems prevents the otherwise very fragile quantum entanglement from rapid decay due to the interactions of these entangled systems with the external environment [13]. Therefore, it has been proposed that TCs are very appropriate candidates to be applied for the development of memory-storing apparatus for quantum computers [16]. In addition, recently it has been discussed that a set of TCs can be used as a model to simulate the human brain [17].…”