Locality and Conservation Laws: How, in the presence of symmetry, locality restricts realizable unitaries

@article{Marvian2021LocalityAC,
  title={Locality and Conservation Laws: How, in the presence of symmetry, locality restricts realizable unitaries},
  author={I. Marvian},
  journal={arXiv: Quantum Physics},
  year={2021}
}
  • I. Marvian
  • Published 2021
  • Mathematics, Physics
  • arXiv: Quantum Physics
According to an elementary result in quantum computing, any unitary transformation on a composite system can be generated using 2-local unitaries, i.e., those which act only on two subsystems. Beside its fundamental importance in quantum computing, this result can also be regarded as a statement about the dynamics of systems with local Hamiltonians: although locality puts various constraints on the short-term dynamics, it does not restrict the possible unitary evolutions that a composite system… Expand

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