A bstract When absorbing boundary conditions are used to evaporate a black hole in
AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu …

A bstract When the bulk geometry in AdS/CFT contains a black hole, boundary subregions
may be sufficient to reconstruct certain bulk operators if and only if the black hole microstate …

We show that complementary state-specific reconstruction of logical (bulk) operators is
equivalent to the existence of a quantum minimal surface prescription for physical …

Quantum error correction and symmetry arise in many areas of physics, including many-
body systems, metrology in the presence of noise, fault-tolerant computation, and …

We derive necessary and sufficient conditions for the approximate correctability of a
quantum code, generalizing the Knill-Laflamme conditions for exact error correction. Our …

Almheiri, Dong, and Harlow [J. High Energy Phys. 04 (2015) 163. JHEPFG 1029-8479
10.1007/JHEP04 (2015) 163] proposed a highly illuminating connection between the …

We study the fundamental limits on the reliable storage of quantum information in lattices of
qubits by deriving tradeoff bounds for approximate quantum error correcting codes. We …

It is well known that no quantum error correcting code of rate R can correct adversarial errors
on more than a (1− R)/4 fraction of symbols. But what if we only require our codes to …

We introduce and explicitly construct a quantum error-detection code we coin a “Pauli
Manipulation Detection” code (or PMD), which detects every Pauli error with high probability …

Detection of very weak forces and precise measurement of time are two of the many
applications of quantum metrology to science and technology. To sense an unknown …