Quantum cryptography exploits principles of quantum physics for the secure processing of
information. A prominent example is secure communication, ie, the task of transmitting …

Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

We introduce the problem of* shadow tomography*: given an unknown D-dimensional
quantum mixed state ρ, as well as known two-outcome measurements E 1,…, EM, estimate …

This book provides the reader with the mathematical framework required to fully explore the
potential of small quantum information processing devices. As decoherence will continue to …

Quantum information processing is the emerging field that defines and realizes computing
devices that make use of quantum mechanical principles such as the superposition …

Given copies of a quantum state ρ, a shadow tomography protocol aims to learn all
expectation values from a fixed set of observables, to within a given precision ε. We say that …

There has been recent promising experimental and theoretical evidence that quantum
computational tools might enhance the precision and efficiency of physical experiments …

This thesis consolidates, improves and extends the smooth entropy framework for non-
asymptotic information theory and cryptography. We investigate the conditional min-and max …

The Leftover Hash Lemma states that the output of a two-universal hash function applied to
an input with sufficiently high entropy is almost uniformly random. In its standard formulation …

Traditional quantum state tomography requires a number of measurements that grows
exponentially with the number of qubits n. But using ideas from computational learning …