66 citations · 185 across the 5 of their papers we have counts for
6 papers
The Ryu-Takayanagi Formula from Quantum Error Correction: An Algebraic Treatment of the Boundary CFT
Helia Kamal, Geoffrey Penington
It was recently shown by Harlow that any quantum error correcting code, satisfying the same complementary recovery properties as AdS/CFT, will obey a version of the Ryu-Takayanagi…
Kitaev's quantum double model as an error correcting code
Shawn X. Cui, Dawei Ding, Xizhi Han +4
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum…
Morse theory without nondegeneracy
Frances Kirwan, Geoffrey Penington
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only fi…
Approximate Quantum Error Correction Revisited: Introducing the Alpha-bit
Patrick Hayden, Geoffrey Penington
We establish that, in an appropriate limit, qubits of communication should be regarded as composite resources, decomposing cleanly into independent correlation and transmission com…
Out-of-time-order Operators and the Butterfly Effect
Jordan S. Cotler, Dawei Ding, Geoffrey R. Penington
Out-of-time-order (OTO) operators have recently become popular diagnostics of quantum chaos in many-body systems. The usual way they are introduced is via a quantization of classic…
Locality from the Spectrum
Jordan S. Cotler, Geoffrey R. Penington, Daniel H. Ranard
Essential to the description of a quantum system are its local degrees of freedom, which enable the interpretation of subsystems and dynamics in the Hilbert space. While a choice o…