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 …
Learning quantum systems
The future development of quantum technologies relies on creating and manipulating
quantum systems of increasing complexity, with key applications in computation, simulation …
quantum systems of increasing complexity, with key applications in computation, simulation …
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 …
Information-theoretic bounds on quantum advantage in machine learning
We study the performance of classical and quantum machine learning (ML) models in
predicting outcomes of physical experiments. The experiments depend on an input …
predicting outcomes of physical experiments. The experiments depend on an input …
Observing the quantum Mpemba effect in quantum simulations
The nonequilibrium physics of many-body quantum systems harbors various unconventional
phenomena. In this Letter, we experimentally investigate one of the most puzzling of these …
phenomena. In this Letter, we experimentally investigate one of the most puzzling of these …
Avoiding barren plateaus using classical shadows
Variational quantum algorithms are promising algorithms for achieving quantum advantage
on near-term devices. The quantum hardware is used to implement a variational wave …
on near-term devices. The quantum hardware is used to implement a variational wave …
Efficient estimation of pauli observables by derandomization
We consider the problem of jointly estimating expectation values of many Pauli observables,
a crucial subroutine in variational quantum algorithms. Starting with randomized …
a crucial subroutine in variational quantum algorithms. Starting with randomized …
Shallow shadows: Expectation estimation using low-depth random Clifford circuits
We provide practical and powerful schemes for learning properties of a quantum state using
a small number of measurements. Specifically, we present a randomized measurement …
a small number of measurements. Specifically, we present a randomized measurement …
Standard model physics and the digital quantum revolution: thoughts about the interface
Advances in isolating, controlling and entangling quantum systems are transforming what
was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and …
was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and …
Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial
AA Mele - Quantum, 2024 - quantum-journal.org
The Haar measure plays a vital role in quantum information, but its study often requires a
deep understanding of representation theory, posing a challenge for beginners. This tutorial …
deep understanding of representation theory, posing a challenge for beginners. This tutorial …