Resource theory of imaginarity in distributed scenarios

Authors

Kang Da Wu, CAS Key Laboratory of Quantum Information
Tulja Varun Kondra, Centrum Nowych Technologii Uniwersytetu Warszawskiego
Carlo Maria Scandolo, University of Calgary
Swapan Rana, Indian Statistical Institute, Kolkata
Guo Yong Xiang, CAS Key Laboratory of Quantum Information
Chuan Feng Li, CAS Key Laboratory of Quantum Information
Guang Can Guo, CAS Key Laboratory of Quantum Information
Alexander Streltsov, Centrum Nowych Technologii Uniwersytetu Warszawskiego

Article Type

Research Article

Publication Title

Communications Physics

Abstract

The resource theory of imaginarity studies the operational value of imaginary parts in quantum states, operations, and measurements. Here we introduce and study the distillation and conversion of imaginarity in distributed scenario. This arises naturally in bipartite systems where both parties work together to generate the maximum possible imaginarity on one of the subsystems. We give exact solutions to this problem for general qubit states and pure states of arbitrary dimension. We present a scenario that demonstrates the operational advantage of imaginarity: the discrimination of quantum channels without the aid of an ancillary system. We then link this scenario to local operations and classical communications(LOCC) discrimination of bipartite states. We experimentally demonstrate the relevant assisted distillation protocol, and show the usefulness of imaginarity in the aforementioned two tasks.

DOI

10.1038/s42005-024-01649-y

Publication Date

12-1-2024

Comments

Open Access; Gold Open Access

Recommended Citation

Wu, Kang Da; Kondra, Tulja Varun; Scandolo, Carlo Maria; Rana, Swapan; Xiang, Guo Yong; Li, Chuan Feng; Guo, Guang Can; and Streltsov, Alexander, "Resource theory of imaginarity in distributed scenarios" (2024). Journal Articles. 5041.
https://digitalcommons.isical.ac.in/journal-articles/5041