Remote Creation of Quantum Coherence
Teng Ma, Ming-Jing Zhao, Shao-Ming Fei, and Gui-Lu Long
TL;DR
This paper investigates how quantum coherence can be remotely generated in a system using quantum operations and classical communication, establishing conditions, bounds, and laws for the process.
Contribution
It introduces necessary and sufficient conditions for remote coherence creation, derives an upper bound relating entanglement and coherence, and presents a simple law for two-qubit systems.
Findings
All nonincoherent states are useful for remote coherence creation.
Incoherent-quantum states are not useful for RCC.
A simple factorization law for two-qubit systems is established.
Abstract
We study remote creation of coherence (RCC) for a quantum system, A, with the help of quantum operations on another system, B, and one-way classical communication.We show that all the nonincoherent quantum states are useful for RCC and all the incoherent-quantum states are not. The necessary and sufficient conditions of RCC for the quantum operations on system B are presented for pure states. The upper bound of average RCC is derived, giving a relation among the entanglement (concurrence), the RCC of the given quantum state, and the RCC of the corresponding maximally entangled state. Moreover, for two-qubit systems we find a simple factorization law for the average remote-created coherence.
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