PIRSA:13010101

Exotic topological order from quantum fractal code

APA

Yoshida, B. (2013). Exotic topological order from quantum fractal code. Perimeter Institute. https://pirsa.org/13010101

MLA

Yoshida, Beni. Exotic topological order from quantum fractal code. Perimeter Institute, Jan. 14, 2013, https://pirsa.org/13010101

BibTex

          @misc{ pirsa_PIRSA:13010101,
            doi = {10.48660/13010101},
            url = {https://pirsa.org/13010101},
            author = {Yoshida, Beni},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Exotic topological order from quantum fractal code},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {jan},
            note = {PIRSA:13010101 see, \url{https://pirsa.org}}
          }
          

Beni Yoshida Perimeter Institute for Theoretical Physics

Abstract

We present a family of three-dimensional local quantum codes with pairs of fractal logical operators. It has two polynomials over finite fieldsĀ as input parameters which generate fractal shapes of anti-commuting logical operators, and possesses exotic topological order with quantum glassiness which is beyond descriptions of conventional topological field theory. A necessary and sufficient condition for being free from string-like logical operators is obtained under which the model works as marginally self-correcting quantum memory. We also provide theoretical tools to analyze physical and coding properties of translation symmetric stabilizer Hamiltonians.