4.3k citations · 13.4k across the 43 of their papers we have counts for
43 papers
Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement
Richard Cleve, Benoit Collins, Li Liu +1
We consider a bipartite transformation that we call self-embezzlement and use it to prove a constant gap between the capabilities of two models of quantum information: the conventi…
Efficient Quantum Algorithms for Simulating Lindblad Evolution
Richard Cleve, Chunhao Wang
We consider the natural generalization of the Schrödinger equation to Markovian open system dynamics: the so-called the Lindblad equation. We give a quantum algorithm for simulatin…
Perfect Embezzlement of Entanglement
Richard Cleve, Li Liu, Vern I. Paulsen
Van Dam and Hayden introduced a concept commonly referred to as embezzlement, where, for any entangled quantum state , there is an entangled catalyst state , from which a hig…
Perfect Commuting-Operator Strategies for Linear System Games
Richard Cleve, Li Liu, William Slofstra
Linear system games are a generalization of Mermin's magic square game introduced by Cleve and Mittal. They show that perfect strategies for linear system games in the tensor-produ…
Near-linear constructions of exact unitary 2-designs
Richard Cleve, Debbie Leung, Li Liu +1
A unitary 2-design can be viewed as a quantum analogue of a 2-universal hash function: it is indistinguishable from a truly random unitary by any procedure that queries it twice. W…
Simulating Hamiltonian dynamics with a truncated Taylor series
Dominic W. Berry, Andrew M. Childs, Richard Cleve +2
We describe a simple, efficient method for simulating Hamiltonian dynamics on a quantum computer by approximating the truncated Taylor series of the evolution operator. Our method…