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 …
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 …
Shadow estimation of gate-set properties from random sequences
With quantum computing devices increasing in scale and complexity, there is a growing
need for tools that obtain precise diagnostic information about quantum operations …
need for tools that obtain precise diagnostic information about quantum operations …
Shadow tomography based on informationally complete positive operator-valued measure
Recently introduced shadow tomography protocols use “classical shadows” of quantum
states to predict many target functions of an unknown quantum state. Unlike full quantum …
states to predict many target functions of an unknown quantum state. Unlike full quantum …
Quantum verification and estimation with few copies
As quantum technologies advance, the ability to generate increasingly large quantum states
has experienced rapid development. In this context, the verification and estimation of large …
has experienced rapid development. In this context, the verification and estimation of large …
Learning properties of quantum states without the IID assumption
We develop a framework for learning properties of quantum states beyond the assumption of
independent and identically distributed (iid) input states. We prove that, given any learning …
independent and identically distributed (iid) input states. We prove that, given any learning …
Designs via free probability
Unitary Designs have become a vital tool for investigating pseudorandomness since they
approximate the statistics of the uniform Haar ensemble. Despite their central role in …
approximate the statistics of the uniform Haar ensemble. Despite their central role in …
Optimizing quantum tomography via shadow inversion
In quantum information theory, the accurate estimation of observables is pivotal for quantum
information processing, playing a crucial role in computational and communication …
information processing, playing a crucial role in computational and communication …
Minimal-Clifford shadow estimation by mutually unbiased bases
Predicting properties of large-scale quantum systems is crucial for the development of
quantum science and technology. Shadow estimation is an efficient method for this task …
quantum science and technology. Shadow estimation is an efficient method for this task …
Sample-efficient device-independent quantum state verification and certification
Authentication of quantum sources is a crucial task in building reliable and efficient protocols
for quantum-information processing. Steady progress vis-à-vis verification of quantum …
for quantum-information processing. Steady progress vis-à-vis verification of quantum …