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

• URL: http://arxiv.org/abs/2102.09113v2
• Date: Mon, 29 Nov 2021 04:51:21 GMT
• Title: Quantum repetition codes as building blocks of large period discrete time crystals
• Authors: Raditya Weda Bomantara
• Abstract summary: Discrete time crystals (DTCs) are nonequilibrium phases of matter with exotic observable dynamics. Current successful experiments are however only limited to realizing DTCs with period-doubling and period-tripling observable dynamics. We propose a scheme for building DTCs exhibiting any large period observable dynamics, which is observable even at sufficiently small system sizes.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Discrete time crystals (DTCs) are nonequilibrium phases of matter with exotic observable dynamics. Among their remarkable features is their response to a periodic drive at a fraction of its frequency. Current successful experiments are however only limited to realizing DTCs with period-doubling and period-tripling observable dynamics, forming only a very small subset of DTC phases. Creating larger periodic DTCs in the lab remains a longstanding challenge, yet it is necessary for developing the technological applications of DTCs, e.g., as a quantum memory for highly-entangled qubits, or exploring interesting features beyond subharmonic dynamics, e.g., condensed matter phenomena in the time domain. By highlighting the connection between DTCs and quantum error correction, we devise a general and realistic scheme for building DTCs exhibiting any large period observable dynamics, which is observable even at sufficiently small system sizes. Our proposal uses an array of spin-1/2 chains to simulate a repetition code at the hardware level, which has essential properties to realize robust observable dynamics. It is readily implemented with existing superconducting or trapped-ion quantum processors, making new families of DTCs experimentally accessible in the immediate future.

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