Quantifying Non-Markovianity with Temporal Steering

Shin Liang Chen, Neill Lambert, Che Ming Li, Adam Miranowicz, Yueh Nan Chen, Franco Nori

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


Einstein-Podolsky-Rosen (EPR) steering is a type of quantum correlation which allows one to remotely prepare, or steer, the state of a distant quantum system. While EPR steering can be thought of as a purely spatial correlation, there does exist a temporal analogue, in the form of single-system temporal steering. However, a precise quantification of such temporal steering has been lacking. Here, we show that it can be measured, via semidefinite programing, with a temporal steerable weight, in direct analogy to the recently proposed EPR steerable weight. We find a useful property of the temporal steerable weight in that it is a nonincreasing function under completely positive trace-preserving maps and can be used to define a sufficient and practical measure of strong non-Markovianity.

Original languageEnglish
Article number020503
JournalPhysical review letters
Issue number2
Publication statusPublished - 2016 Jan 15

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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