2018/06/14 by Dhrumil Patel, Subhasree Patro, Chiranjeevi Vanarasa +2 · 11 citations
Computer Science · Physics and Astronomy · #Algorithm #Biology #Cloning (programming) #Coherence (philosophical gambling strategy) #Coherence length #Coherence theory #Computer science #Genetics #Impossibility #Law #Physics #Political science #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum cloning #Quantum entanglement #Quantum mechanics #Quantum state #State (computer science) #clone (Java method) #quant-ph
paper · pdf · doi:10.1103/physreva.103.022422
published in Physical Review A 103(2) (American Physical Society)
arxiv created 2018/06/14 · openalex publication_date 2021/02/23 · arxiv updated 2021/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is well known that it is impossible to clone an arbitrary quantum state. However, this inability does not lead directly to no cloning of quantum coherence. Here, in this article, we show that it is impossible to clone the coherence of an arbitrary quantum state. In particular, with an ancillary system as machine state, we show that it is impossible to clone the coherence of states whose coherence is greater than the coherence of the known states on which the transformations are defined. Also, we characterize the class of states for which coherence cloning will be possible for a given choice of machine. Furthermore, we find the maximum range of states whose coherence can be cloned perfectly. The impossibility proof also holds when we do not include machine states. Lastly, we generalize the impossibility of cloning of coherence in terms of dimension of the quantum state and coherence measure taken into consideration.