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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 …
[HTML][HTML] Analysing quantum systems with randomised measurements
Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …
quantum states without the need for a shared reference frame or calibration. They naturally …
Group-invariant quantum machine learning
Quantum machine learning (QML) models are aimed at learning from data encoded in
quantum states. Recently, it has been shown that models with little to no inductive biases (ie …
quantum states. Recently, it has been shown that models with little to no inductive biases (ie …
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 …
Reflected entropy and computable cross-norm negativity: Free theories and symmetry resolution
We investigate a separability criterion based on the computable cross-norm (CCNR), and a
related quantity called the CCNR negativity. We introduce a reflected version of the CCNR …
related quantity called the CCNR negativity. We introduce a reflected version of the CCNR …
Enhanced estimation of quantum properties with common randomized measurements
We present a technique for enhancing the estimation of quantum state properties by
incorporating approximate prior knowledge about the quantum state. This consists in …
incorporating approximate prior knowledge about the quantum state. This consists in …
Collective randomized measurements in quantum information processing
The concept of randomized measurements on individual particles has proven to be useful
for analyzing quantum systems and is central for methods like shadow tomography of …
for analyzing quantum systems and is central for methods like shadow tomography of …
Universal entanglement and correlation measure in two-dimensional conformal field theories
We calculate the amount of entanglement shared by two intervals in the ground state of a
(1+ 1)-dimensional conformal field theory (CFT), quantified by an entanglement measure E …
(1+ 1)-dimensional conformal field theory (CFT), quantified by an entanglement measure E …
Certifying quantum temporal correlation via randomized measurements: Theory and experiment
We consider the certification of temporal quantum correlations using the pseudo-density
operator (PDO), an extension of the density matrix to the time domain, where negative …
operator (PDO), an extension of the density matrix to the time domain, where negative …
A hybrid framework for estimating nonlinear functions of quantum states
Estimating nonlinear functions of quantum states, such as the moment tr (ρ m), is of
fundamental and practical interest in quantum science and technology. Here we show a …
fundamental and practical interest in quantum science and technology. Here we show a …