A practical quantum computer must not merely store information, but also process it. To
prevent errors introduced by noise from multiplying and spreading, a fault-tolerant …

Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …

Continuously monitoring the environment of a quantum many-body system reduces the
entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of …

Unitary circuits subject to repeated projective measurements can undergo an entanglement
phase transition (EPT) as a function of the measurement rate. This transition is generally …

A bstract We propose a family of exactly solvable toy models for the AdS/CFT
correspondence based on a novel construction of quantum error-correcting codes with a …

We propose a general framework for using local measurements, local unitaries, and
nonlocal classical communication to construct quantum channels, which can efficiently …

Passive error correction protects logical information forever (in the thermodynamic limit) by
updating the system based only on local information and few-body interactions. A …

We suggest concrete models for self-correcting quantum memory by reporting examples of
local stabilizer codes in 3D that have no string logical operators. Previously known local …

Quantum error correction (QEC) and fault-tolerant quantum computation represent one of
the most vital theoretical aspects of quantum information processing. It was well known from …

Vast numbers of qubits will be needed for large-scale quantum computing because of the
overheads associated with error correction. We present a scheme for low-overhead fault …