151 citations · 603 across the 12 of their papers we have counts for
12 papers
Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra
Ali Almasi, Dávid Bugár, Cambyse Rouzé +1
Moment/Sum-of-Hermitian-Squares relaxations for noncommutative polynomial optimization problems have become an important tool for analyzing problems within quantum theory. Despite…
Genuine multipartite entanglement is not necessary for standard device-independent conference key agreement
Lewis Wooltorton, Peter Brown, Roger Colbeck
Conference key agreement aims to establish shared, private randomness among many separated parties in a network. Device-independent conference key agreement (DICKA) is a variant in…
Device-independent quantum key distribution with arbitrarily small nonlocality
Lewis Wooltorton, Peter Brown, Roger Colbeck
Device-independent quantum key distribution (DIQKD) allows two users to set up shared cryptographic key without the need to trust the quantum devices used. Doing so requires nonloc…
Expanding bipartite Bell inequalities for maximum multi-partite randomness
Lewis Wooltorton, Peter Brown, Roger Colbeck
Nonlocal tests on multi-partite quantum correlations form the basis of protocols that certify randomness in a device-independent (DI) way. Such correlations admit a rich structure,…
Semidefinite programming relaxations for quantum correlations
Armin Tavakoli, Alejandro Pozas-Kerstjens, Peter Brown +1
Semidefinite programs are convex optimisation problems involving a linear objective function and a domain of positive semidefinite matrices. Over the last two decades, they have be…
Tight analytic bound on the trade-off between device-independent randomness and nonlocality
Lewis Wooltorton, Peter Brown, Roger Colbeck
Two parties sharing entangled quantum systems can generate correlations that cannot be produced using only shared classical resources. These nonlocal correlations are a fundamental…
Device-independent lower bounds on the conditional von Neumann entropy
Peter Brown, Hamza Fawzi, Omar Fawzi
The rates of several device-independent (DI) protocols, including quantum key-distribution (QKD) and randomness expansion (RE), can be computed via an optimization of the condition…
Explicit asymptotic secret key rate of continuous-variable quantum key distribution with an arbitrary modulation
Aurélie Denys, Peter Brown, Anthony Leverrier
We establish an analytical lower bound on the asymptotic secret key rate of continuous-variable quantum key distribution with an arbitrary modulation of coherent states. Previously…
Computing conditional entropies for quantum correlations
Peter Brown, Hamza Fawzi, Omar Fawzi
The rates of quantum cryptographic protocols are usually expressed in terms of a conditional entropy minimized over a certain set of quantum states. In particular, in the device-in…
Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
Peter J. Brown, Roger Colbeck
Alice and Bob each have half of a pair of entangled qubits. Bob measures his half and then passes his qubit to a second Bob who measures again and so on. The goal is to maximize th…
Device-independent randomness expansion against quantum side information
Wen-Zhao Liu, Ming-Han Li, Sammy Ragy +9
The ability to produce random numbers that are unknown to any outside party is crucial for many applications. Device-independent randomness generation does not require trusted devi…
A framework for quantum-secure device-independent randomness expansion
Peter J. Brown, Sammy Ragy, Roger Colbeck
A device-independent randomness expansion protocol aims to take an initial random seed and generate a longer one without relying on details of how the devices operate for security.…