49 citations · 72 across the 5 of their papers we have counts for
6 papers
Embezzlement as a "Self-Test" for Infinite Copies of Entangled States
Li Liu
We investigate the operator-algebraic structure underlying entanglement embezzlement, a phenomenon where a fixed entangled state (the catalyst) can be used to generate arbitrary ta…
Explicit C*-algebraic Protocol for Exact Universal Embezzlement of Entanglement
Li Liu
We present an explicit construction of a universal embezzlement protocol in the C*-algebraic model of quantum information, that is equivalent to the commuting operator model. Our p…
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…
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…