Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
The randomized measurement toolbox
Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …
opportunities for exploring and exploiting the properties of highly entangled complex …
Provably efficient machine learning for quantum many-body problems
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …
challenging quantum many-body problems in physics and chemistry. However, the …
Cluster state as a noninvertible symmetry-protected topological phase
We show that the standard 1+ 1 DZ 2× Z 2 cluster model has a noninvertible global
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …
Quantum simulation of fundamental particles and forces
Key static and dynamic properties of matter—from creation in the Big Bang to evolution into
subatomic and astrophysical environments—arise from the underlying fundamental …
subatomic and astrophysical environments—arise from the underlying fundamental …
Quantum computing 40 years later
J Preskill - Feynman Lectures on Computation, 2023 - taylorfrancis.com
This chapter sketches the foundations of the subject, discussing salient features of quantum
information, formulates a mathematical model of quantum computation and highlights some …
information, formulates a mathematical model of quantum computation and highlights some …
Harnessing the power of the second quantum revolution
IH Deutsch - PRX Quantum, 2020 - APS
The second quantum revolution has been built on a foundation of fundamental research at
the intersection of physics and information science, giving rise to the discipline we now call …
the intersection of physics and information science, giving rise to the discipline we now call …
Spontaneous strong symmetry breaking in open systems: Purification perspective
We explore the effect of decoherence on many-body mixed states from a purification
perspective. Here, quantum channels map to unitary transformations acting on a purified …
perspective. Here, quantum channels map to unitary transformations acting on a purified …
Measurement-induced topological entanglement transitions in symmetric random quantum circuits
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 …
chosen unitary operations, have provided key insights into the dynamics of many-body …
Quantum-enhanced measurements without entanglement
Quantum-enhanced measurements exploit quantum mechanical effects for increasing the
sensitivity of measurements of certain physical parameters and have great potential for both …
sensitivity of measurements of certain physical parameters and have great potential for both …