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Open Quantum Systems Decoherence

Evolution of Complexity Following a Global Quench

arXiv
Authors: Mudassir Moosa

Year

2017

Paper ID

25244

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

The rate of complexification of a quantum state is conjectured to be bounded from above by the average energy of the state. A different conjecture relates the complexity of a holographic CFT state to the on-shell gravitational action of a certain bulk region. We use 'complexity equals action' conjecture to study the time evolution of the complexity of the CFT state after a global quench. We find that the rate of growth of complexity is not only consistent with the conjectured bound, but it also saturates the bound soon after the system has achieved local equilibrium.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • The rate of complexification of a quantum state is conjectured to be bounded from above by the average energy of the state.

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