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 …
Quantum certification and benchmarking
With the rapid development of quantum technologies, a pressing need has emerged for a
wide array of tools for the certification and characterization of quantum devices. Such tools …
wide array of tools for the certification and characterization of quantum devices. Such tools …
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 …
Predicting many properties of a quantum system from very few measurements
Predicting the properties of complex, large-scale quantum systems is essential for
developing quantum technologies. We present an efficient method for constructing an …
developing quantum technologies. We present an efficient method for constructing an …
Mixed-state entanglement from local randomized measurements
We propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …
based on estimating moments of the partially transposed density matrix. The estimates are …
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 …
Exponential separations between learning with and without quantum memory
We study the power of quantum memory for learning properties of quantum systems and
dynamics, which is of great importance in physics and chemistry. Many state-of-the-art …
dynamics, which is of great importance in physics and chemistry. Many state-of-the-art …
[PDF][PDF] Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
We propose a simple scheme to reduce readout errors in experiments on quantum systems
with finite number of measurement outcomes. Our method relies on performing classical …
with finite number of measurement outcomes. Our method relies on performing classical …
Entanglement barrier and its symmetry resolution: Theory and experimental observation
The operator entanglement (OE) is a key quantifier of the complexity of a reduced density
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …
Robust shadow estimation
Efficiently estimating properties of large and strongly coupled quantum systems is a central
focus in many-body physics and quantum information theory. While quantum computers …
focus in many-body physics and quantum information theory. While quantum computers …