Asymptotic state discrimination and a strict hierarchy in distinguishability norms

Eric Chitambar, Min Hsiu Hsieh

Research output: Contribution to journalArticlepeer-review


In this paper, we consider the problem of discriminating quantum states by local operations and classical communication (LOCC) when an arbitrarily small amount of error is permitted. This paradigm is known as asymptotic state discrimination, and we derive necessary conditions for when two multipartite states of any size can be discriminated perfectly by asymptotic LOCC. We use this new criterion to prove a gap in the LOCC and separable distinguishability norms. We then turn to the operational advantage of using two-way classical communication over one-way communication in LOCC processing. With a simple two-qubit product state ensemble, we demonstrate a strict majorization of the two-way LOCC norm over the one-way norm.

Original languageEnglish (US)
Article number112204
JournalJournal of Mathematical Physics
Issue number11
StatePublished - Nov 24 2014
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Asymptotic state discrimination and a strict hierarchy in distinguishability norms'. Together they form a unique fingerprint.

Cite this