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This study confirms log-law scaling of entanglement entropy at criticality on a digital trapped-ion quantum computer using MERA and holographic schemes. By overcoming finite-size effects with limited qubits, the research validates key theoretical predictions for simulating strongly-correlated many-body systems near continuous phase transitions. The achievement underscores the utility of fully-connected architectures in advancing precision quantum simulation capabilities.

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Log-Law Scaling of Entanglement Confirmed on Quantum Computer

Quantum ZeitgeistJuly 27, 20262 min read

The investigation of strongly-correlated quantum matter is difficult due to the curse of dimensionality and intricate entanglement structures, particularly near continuous quantum phase transitions. Researchers demonstrate log-law scaling of subsystem entanglement entropies at criticality on a digital quantum computer, using the multiscale entanglement renormalization ansatz (MERA) and a holographic scheme on a fully-connected trapped-ion quantum computer.

Researchers have, for the first time, demonstrated log-law scaling of subsystem entanglement entropies at criticality on a digital quantum computer. The work, performed using a fully-connected trapped-ion quantum computer, combines the multiscale entanglement renormalization ansatz (MERA) with a holographic scheme for…

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