Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

We derive field theory descriptions for measurement-induced phase transitions in free
fermion systems. We focus on a multiflavor Majorana chain, undergoing Hamiltonian …

We develop an analytical approach to the study of one-dimensional free fermions subject to
random projective measurements of local site occupation numbers, based on the Keldysh …

A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

We present a theory of the entanglement transition tuned by measurement strength in qudit
chains evolved by random unitary circuits and subject to either weak or random projective …

We analyze the dynamics of entanglement entropy in a generic quantum many-body open
system from the perspective of quantum information and error corrections. We introduce a …

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 …

Random quantum circuits, in which an array of qubits is subjected to a series of randomly
chosen unitary operations, have provided key insights into the dynamics of many-body …