Extendibility Limits the Performance of Quantum Processors

Eneet Kaur, Siddhartha Das, Mark M. Wilde, Andreas Winter

Research output: Contribution to journalArticleResearch

7 Citations (Scopus)

Abstract

© 2019 American Physical Society. Resource theories in quantum information science are helpful for the study and quantification of the performance of information-processing tasks that involve quantum systems. These resource theories also find applications in other areas of study; e.g., the resource theories of entanglement and coherence have found use and implications in the study of quantum thermodynamics and memory effects in quantum dynamics. In this paper, we introduce the resource theory of unextendibility, which is associated with the inability of extending quantum entanglement in a given quantum state to multiple parties. The free states in this resource theory are the k-extendible states, and the free channels are k-extendible channels, which preserve the class of k-extendible states. We make use of this resource theory to derive nonasymptotic, upper bounds on the rate at which quantum communication or entanglement preservation is possible by utilizing an arbitrary quantum channel a finite number of times, along with the assistance of k-extendible channels at no cost. We then show that the bounds obtained are significantly tighter than previously known bounds for quantum communication over both the depolarizing and erasure channels.
Original languageEnglish
Article number070502
JournalPhysical Review Letters
Volume123
DOIs
Publication statusPublished - 13 Aug 2019

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