Local reversibility and entanglement structure of many-body ground states

Tomotaka Kuwahara, Itai Arad, Luigi Amico, Vlatko Vedral

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


The low-temperature physics of quantum many-body systems is largely governed by the structure of their ground states. Minimizing the energy of local interactions, ground states often reflect strong properties of locality such as the area law for entanglement entropy and the exponential decay of correlations between spatially separated observables. Here, we present a novel characterization of quantum states, which we call 'local reversibility'. It characterizes the type of operations that are needed to reverse the action of a general disturbance on the state. We prove that unique ground states of gapped local Hamiltonian are locally reversible. This way, we identify new universal features of many-body ground states, which cannot be derived from the aforementioned properties. We use local reversibility to distinguish between states enjoying microscopic and macroscopic quantum phenomena. To demonstrate the potential of our approach, we prove specific properties of ground states, which are relevant both to critical and non-critical theories.

Original languageEnglish
Article number015005
JournalQuantum Science and Technology
Issue number1
Publication statusPublished - 2017 Mar 1


  • entanglement in many-body systems
  • maroscopic quantum phenomena
  • quantum complexity classes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Materials Science (miscellaneous)
  • Physics and Astronomy (miscellaneous)
  • Electrical and Electronic Engineering


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