PIRSA:24050028 Conference Quantum Information

DOI10.48660/24050028

Conference/School: Physics of Quantum Information

Grover, T. (2024). Separability as a window into many-body mixed-state phases. Perimeter Institute. https://pirsa.org/24050028

Grover, Tarun. Separability as a window into many-body mixed-state phases. Perimeter Institute, May. 27, 2024, https://pirsa.org/24050028 

@misc{ pirsa_PIRSA:24050028,
  doi = {10.48660/24050028},
  url = {https://pirsa.org/24050028},
  author = {Grover, Tarun},
  keywords = {Quantum Information},
  language = {en},
  title = {Separability as a window into many-body mixed-state phases},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {may},
  note = {PIRSA:24050028 see, \url{https://pirsa.org}}
}

Abstract

Ground states as well as Gibbs states of many-body quantum Hamiltonians have been studied extensively for some time. In contrast, the landscape of mixed states that do not correspond to a system in thermal equilibrium is relatively less explored. In this talk I will motivate a rather coarse characterization of mixed quantum many-body states using the idea of "separability", i.e., whether a mixed state can be expressed as an ensemble of short-range entangled pure states. I will discuss several examples of decoherence-driven phase transitions from a separability viewpoint, and argue that such a framework also provides a potentially new view on Gibbs states. Based on work with Yu-Hsueh Chen. References: 2309.11879, 2310.07286, 2403.06553.

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