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 …
Long-range interacting quantum systems
In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
The future of quantum computing with superconducting qubits
For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …
emergence of quantum processing units (QPUs). Extracting the full potential of computation …
A quantum processor based on coherent transport of entangled atom arrays
The ability to engineer parallel, programmable operations between desired qubits within a
quantum processor is key for building scalable quantum information systems,. In most state …
quantum processor is key for building scalable quantum information systems,. In most state …
Efficient long-range entanglement using dynamic circuits
Quantum simulation traditionally relies on unitary dynamics, inherently imposing efficiency
constraints on the generation of intricate entangled states. In principle, these limitations can …
constraints on the generation of intricate entangled states. In principle, these limitations can …
Non-Abelian topological order and anyons on a trapped-ion processor
Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …
including quasiparticles that can remember the sequence in which they are exchanged …
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 …
Topological order from measurements and feed-forward on a trapped ion quantum computer
Quantum systems evolve in time in one of two ways: through the Schrödinger equation or
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …
Hierarchy of topological order from finite-depth unitaries, measurement, and feedforward
Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …
Long-range entanglement from measuring symmetry-protected topological phases
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 …
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …