期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 58, 期 1, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4974818
关键词
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资金
- Canada's NSERC
- David R. Cheriton Scholarship
- Mike and Ophelia Lazaridis Fellowship
Van Dam and Hayden introduced a concept commonly referred to as embezzlement, where, for any entangled quantum state phi, there is an entangled catalyst state psi, from which a high fidelity approximation of phi circle times psi. can be produced using only local operations. We investigate a version of this where the embezzlement is perfect (i.e., the fidelity is 1). We prove that perfect embezzlement is impossible in a tensor product framework, even with infinite-dimensional Hilbert spaces and infinite entanglement entropy. Then we prove that perfect embezzlement is possible in a commuting operator framework. We prove this using the theory of C*-algebras and we also provide an explicit construction. Next, we apply our results to analyze perfect versions of a nonlocal game introduced by Regev and Vidick. Finally, we analyze the structure of perfect embezzlement protocols in the commuting operator model, showing that they require infinite-dimensional Hilbert spaces. Published by AIP Publishing.
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